Limitations Of Theory Research Articles

WARIS DALAM PRESPEKTIF PEMIKIRAN MUHAMMAD SHAHRUR: SEBUAH PENDEKATAN TEORI HUDUD

Al-Qur'an has determined the amount of inheritance distribution to the heirs. Regarding the issue of inheritance distribution, Shahrur then criticized that inheritance distribution had so far been considered rigid and not in accordance with the demands of social development, especially with regard to the issue of inheritance distribution for women. Therefore, this article discusses inheritance from the perspective of Muhammad Shahrur. This research method is qualitative. The results of the research show that Shahrur criticizes the distribution of inheritance between men and women, which is proportional to 2:1, is not absolute, and can change according to certain conditions. The theory of hudud or limitations is a solution to solving problems regarding inheritance rights. Through his hudud theory, a fair and equitable distribution of inheritance can be realized if the number of men and women is the same, for example; 1 boy + 1 girl, 2 boys + 2 girls, and so on. In addition, Syahrur emphasized the priority of wills over the inheritance. This is because the choice is closer to the value of the principle of justice or equity.

Development of Problem-Based Number Theory Learning Tools

Development of Problem-Based Number Theory Learning Tools" in the 2022 FMIPA Unimed Mathematics Education Lecture. This research is the development of learning tools that aim to describe the development process that produces valid, practical, and effective number theory learning tools. Problem-Based Number Theory Learning developed by following the Four D's: Define, Design, Develop, and Disseminate. The trial of device development was carried out in the S1 Mathematics Education Study program in the Number Theory lecture. In the development of number theory lecture tools produce: Textbooks, and 14 Lesson Plans (LP) that are valid, practical and effective. The implementation process is carried out by preparing components of teaching materials for the Number Theory course in the form of: textbooks, LP which are carried out in the Number Theory course in 2022. In the implementation of disseminate applying limited Number Theory teaching materials produced: LP as many as 14 valid, practical and effective meetings to the Lecturer Team in the Department of Mathematics FMIPA Unimed

Gauge theories with nontrivial boundary conditions: Black holes

We study the partition function and entropy of U(1) gauge theories with multiple boundaries on the black holes background. The nontrivial boundary conditions allow residual zero longitudinal momentum modes and Wilson lines stretched between boundaries. Topological modes of the Wilson lines and other modes are also analyzed in this paper. We study the behavior of the partition function of the theory in different temperature limits, and find the transitions of dominances of different modes as we vary the temperature. Moreover, we find two different area contributions plus logarithm corrections in the entropy. One being part of the bulk fluctuation modes can be seen for finite-temperature black holes, and the other coming from vacuum degeneracy can only be seen in the superlow temperature limit. We have confirmed the mechanism and entropy found in the superlow temperature limit also persist for extremal black holes. The gauge fluctuation on the black hole background might help us understand some fundamental aspects of quantum gravity related to gauge symmetries.

Strategic two-sample test via the two-armed bandit process

Abstract This study aims to improve the power of two-sample tests by analysing whether the difference between two population parameters is larger than a prespecified positive equivalence margin. The classic test statistic treats the original data as exchangeable, while the proposed test statistic breaks the structure and proposes employing a two-armed bandit process to strategically integrate the data and thus a strategy-specific test statistic is constructed by combining the classic CLT with the law of large numbers. The developed asymptotic theory is investigated by using nonlinear limit theory in a larger probability space and relates to the ‘strategic CLT’ with a clearly defined density function. The asymptotic distribution demonstrates that the proposed statistic is more concentrated under the null hypothesis and less concentrated under the alternative than the classic CLT, thereby enhancing the testing power. Simulation studies provide supporting evidence for the theoretical results and portray a more powerful performance when using finite samples. A real example is also added for illustration.

Peers’ media coverage releases and investor heterogeneity

PurposeThis study aims to examine the behaviour of institutional and retail investors in response to news about industry leaders (peer firms) and to determine its impact on the stock prices of other firms (focal firms) within the same industry.Design/methodology/approachThe study investigates the impact of peer news on investor behaviour of Chinese A-shares listed on the Shanghai and Shenzhen Stock Exchanges from 2010 to 2019. The media coverage of industry leaders is sourced from prominent Chinese online financial outlets and the Chinese Financial Press. Support vector machine is applied to identify the positive, neutral and negative news within the articles. The study uses event study and logistic regression to examine the effects of peer news on focal firms’ investor behaviour.FindingsThe results show that both good and bad news about leaders cause peers’ stock prices to increase initially, but then reverse within one quarter. Further analysis reveals that when leaders’ shares receive positive news coverage, institutional investors tend to exert excessive abnormal buying pressure on peers’ shares, resulting in overreactions. Conversely, retail investors do not actively trade on peers on leaders’ news day due to limited attention. In addition, the study shows that short-selling constraint inhibits bad news from reflecting in the stock prices.Originality/valueThe study highlights differences in investor behaviour. The finding that institutional investors tend to overreact more to peer firms’ news when focal firms are smaller and have a lower frequency of information disclosure supports the salient theory. This is consistent with the previous framework that suggests overreaction is more pronounced when it is difficult to combine external sources of information to evaluate the focal firms. In contrast, retail investors do not engage in active trading on peers on leaders’ news day due to the limited attention theory.

The Asymptotic Number of Score Sequences

A tournament on a graph is an orientation of its edges. The score sequence lists the in-degrees in non-decreasing order. Works by Winston and Kleitman (J Comb Theory Ser A 35(2):208–230, 1983) and Kim and Pittel (J Comb Theory Ser A 92(2):197–206, 2000) showed that the number S_n of score sequences on the complete graph K_n satisfies S_n=Theta (4^n/n^{5/2}). By combining a recent recurrence relation for S_n in terms of the Erdős–Ginzburg–Ziv numbers N_n with the limit theory for discrete infinitely divisible distributions, we observe that n^{5/2}S_n/4^nrightarrow e^lambda /2sqrt{pi }, where lambda =sum _{k=1}^infty N_k/k4^k. This limit agrees numerically with the asymptotics of S_n conjectured by Takács (J Stat Plan Inference 14(1):123–142, 1986). We also identify the asymptotic number of strong score sequences, and show that the number of irreducible subscores in a random score sequence converges in distribution to a shifted negative binomial with parameters r=2 and p=e^{-lambda }.

Consistency and asymptotic normality in a class of nearly unstable processes

This paper deals with inference in a class of stable but nearly-unstable processes. Autoregressive processes are considered, in which the bridge between stability and instability is expressed by a time-varying companion matrix $$A_{n}$$ with spectral radius $$\rho (A_{n}) < 1$$ satisfying $$\rho (A_{n}) \rightarrow 1$$ . This framework is particularly suitable to understand unit root issues by focusing on the inner boundary of the unit circle. Consistency is established for the empirical covariance and the OLS estimation together with asymptotic normality under appropriate hypotheses when A, the limit of $$A_n$$ , has a real spectrum, and a particular case is deduced when A also contains complex eigenvalues. The asymptotic process is integrated with either one unit root (located at 1 or $$-1$$ ), or even two unit roots located at 1 and $$-1$$ . Finally, a set of simulations illustrate the asymptotic behavior of the OLS. The results are essentially proved by $$L^2$$ computations and the limit theory of triangular arrays of martingales.

Multijurisdictional and Multimodal Infrastructure Corridors: Supranational Social Value, Assembly and Implementation Barriers

There is very limited theory and policy guidance that specifically relates to multijurisdictional and multimodal (M&amp;;M) infrastructure corridors: those that traverse national boundaries and encompass multiple modes of co-located infrastructure modes. This paper develops a framework for understanding the social welfare costs and benefits—and the barriers to implementing—these corridors. The framework posits the need for both a dedicated assembler and a national (or supranational) sponsor. An assembler provides the platform to match up initial property rights holders, infrastructure mode providers and end users. The sponsor financially and politically backstops an assembler. We decompose the economic necessity for, and advantages of, an assembler and also those that result from some degree of multimodality. We also consider the economic and political barriers to M&amp;;M corridor implementation. To illustrate these, we review the evidence from the very small number of proposed or realised M&amp;;M corridors and closely related projects. Although reliable evidence is scarce, it is consistent with the framework’s implications regarding the need for both an assembler and a sponsor.

Gills, growth and activity across fishes

AbstractLife history theory suggests that maximum size and growth evolve to maximize fitness. In contrast, the Gill Oxygen Limitation Theory (GOLT) suggests that growth and maximum size in fishes and other aquatic, water‐breathing organisms is constrained by the body mass‐scaling of gill surface area. Here, we use new data and a novel phylogenetic Bayesian multilevel modelling framework to test this idea by asking the three questions posed by the GOLT regarding maximum size, growth and gills. Across fishes, we ask whether the body mass‐scaling of gill surface area explains (1) variation in the von Bertalanffy growth coefficient (k) above and beyond that explained by asymptomatic size (W∞), (2) variation in growth performance (a trait that integrates the tradeoff between k and W∞) and (3) more variation in growth performance compared to activity (as approximated by caudal fin aspect ratio). Overall, we find that there is only a weak relationship among maximum size, growth and gill surface area across species. Indeed, the body mass‐scaling of gill surface area does not explain much variation in k (especially for those species that reach the same W∞) or growth performance. Activity explained three to five times more variation in growth performance compared to gill surface area. Our results suggest that in fishes, gill surface area is not the only factor that explains variation in maximum size and growth, and that other covariates (e.g. activity) are likely important in understanding how growth, maximum size and other life history traits vary across species.

Stochastic local and moderate departures from a unit root and its application to unit root testing

Local‐to‐unity and moderate‐deviations specifications have been popular alternatives to unit root modeling. This article considers another kind of departures from a unit root, of the form , where is random and determines the distance from a unit root. We classify the stochastic departures into two types: local and moderate. This classification task is completed by investigating the asymptotic behavior of unit root tests that assume the stochastic unit root (STUR) processes as the alternative hypothesis. The stochastic local‐to‐unity model arises when ; in this case, the test statistics have limiting distributions different from those under the unit root null, and their asymptotic powers are greater than size. Moderate deviations emerge when , in which case the test statistics diverge. We also propose new tests for a unit root against an STUR, whose construction is based on the limit theory developed in this article. To evaluate the performance of these new tests, we derive the limiting Gaussian power envelope under the local alternative from an approximate model.

High-Order Quantum-Mechanical Analysis of Hydrogen Bonding in Hachimoji and Natural DNA Base Pairs.

High-order quantum chemistry is applied to hydrogen-bonded natural DNA nucleobase pairs [adenine:thymine (A:T) and guanine:cytosine (G:C)] and non-natural Hachimoji nucleobase pairs [isoguanine:1-methylcytosine (B:S) and 2-aminoimidazo[1,2a][1,3,5]triazin-4(1H)-one:6-amino-5-nitropyridin-2-one (P:Z)] to see how the intermolecular interaction energies and their energetic components (electrostatics, exchange-repulsion, induction/polarization, and London dispersion interactions) vary among the base pairs. We examined the Hoogsteen (HG) geometries in addition to the traditional Watson-Crick (WC) geometries. Coupled-cluster theory through perturbative triples [CCSD(T)] extrapolated to the complete basis set (CBS) limit and high-order symmetry-adapted perturbation theory (SAPT) at the SAPT2+(3)(CCD)δMP2/aug-cc-pVTZ level are used to estimate highly accurate noncovalent interaction energies. Electrostatic interactions are the most attractive component of the interaction energies, but the sum of induction/polarization and London dispersion is nearly as large, for all base pairs and geometries considered. Interestingly, the non-natural Hachimoji base pairs interact more strongly than the corresponding natural base pairs, by -21.8 (B:S) and -0.3 (P:Z) kcal mol-1 in the WC geometries, according to CCSD(T)/CBS. This is consistent with the H-bond distances being generally shorter in the non-natural base pairs. The natural base pairs are energetically more stabilized in their Hoogsteen geometries than in their WC geometries. The Hoogsteen geometry makes the A:T base pair slightly more stable, by -0.8 kcal mol-1, and it greatly stabilizes the G:C+ base pair, by -15.3 kcal mol-1. The G:C+ stabilization is mainly due to the fact that C has typically added a proton when found in Hoogsteen geometries. By contrast, Hoogsteen geometries are substantially less favorable than WC geometries for non-natural Hachimoji base pairs, by 17.3 (B:S) and 13.8 (P:Z) kcal mol-1.

Central limit theorem of linear spectral statistics of high-dimensional sample correlation matrices

A high-dimensional sample correlation matrix is an important random matrix in multivariate statistical analysis. Its central limit theory is one of the main theoretical bases for making statistical inferences on high-dimensional correlation matrices. Under the high-dimensional framework in which the data dimension tends to infinity proportionally with the sample size, we establish the central limit theorems (CLT) for the linear spectral statistics (LSS) of sample correlation matrices in two settings: (1) the population follows an independent component structure; (2) the population follows an elliptical structure, including some heavy-tailed distributions. The results show that the CLTs of the LSS of the sample correlation matrices are very different in the two settings. In particular, even if the population correlation matrix is an identity matrix, the CLTs are different in the two settings. An application of our two established CLTs is provided.

AUDIT FEES AND COMPANIES’ ACCESS TO FINANCE

This paper aims to study the impact of audit fees on companies' ability to access finance by reducing their capital constraints. This study employs a dataset of listed non-financial Indonesian companies from 2016 to 2020. Unlike previous studies, which mostly examined this phenomenon in developed economies, this paper focuses on a country with a two-tier corporate governance model where the capital market is not a major source of financing and the disclosure of audit fees is still voluntary. In such a setting, the decision to disclose audit fees is in the hand of the companies' management, and various motivations behind the decision will differently impact different users of financial information. This paper focuses on whether the information related to audit fees is a good signal for capital providers. Following the limited attention theory, this study argues that capital providers will consider the information about audit fees as a more reliable proxy for audit efforts that subsequently affect their investment decision. The hypothesis is that audit fees are negatively associated with companies' financial constraints. The findings indicate that capital providers see higher audit fees as signals of high-quality audits that enhance the credibility of financial statements and positively impact companies' access to finance. Key Words: Audit Fees, Capital Constraint, Access to Finance, Audit Quality, Limited Attention Theory

Pemikiran M. Syahrur Tentang Pakaian Perempuan (Dari Konfigurasi Aurat Hingga Konstruk-Hirarki Pakaian Perempuan Dalam Islam)

Muhammad Syahrur's thoughts in several disciplines of discussion are quite interesting for researchers to discuss, both in the fields of hadith, interpretation, fiqh and al-Qur'an hermeneutics. The main theory that is of great interest to researchers in Syahrur's thinking is the limit theory. And it is from this limit theory that Syahrur constructs his thoughts on many Islamic themes, including women's clothing, genitalia and so on. So in this study, we will examine in more detail about the construction of aurat and women's clothing according to Muhammad Syahrur. This research is a library research with the main sources are two literatures by M. Syahrur, namely: Al-Kitabu wa Al-Qur`anu and Nahwa Al-Jadidah li Al-Fiqh Al-Islamiy. While the secondary sources are other relevant literature. The conclusion of this article is that the construction of Muhammad Syahrur's thoughts on genitalia, headscarves, zinah (jewelry), and all women's clothing comes from the limit theory (hudud). According to him, the upper and lower limits depend on the extent to which a person is ashamed. However, not all of his thoughts tend to contradict the majority of Muslim scholars, because before he concluded the limit theory (hudud), he also explained about the derivation of words, such as headscarves, khimar, and others.

Reflections on the environmental damage compensation regime in Chinese civil legislations

The chapter on Tort Liability of the new Chinese Civil Code has broadened the types of environmental torts and expanded the scope of environmental damages. After such changes, however, deficiencies still exist. Most significantly, environmental torts are not determined by illegality, which means whether national emission standards have been violated is irrelevant. As long as damages are caused, the principle of liability without fault shall be applied. Conflicts in Chinese environmental law have led to discrepancies and inconsistencies in related judicial decisions. In this regard, this paper argues that the “theory of tolerance limit” should be adopted to redefine the meaning of illegality and further identify the conception of liability without fault for environmental damages. In addition, the punitive damages system created by the Civil Code also lacks clarity in its judgment criteria. Since the purpose of private law is reparation rather than punishment, this paper recommends that the scope of punitive damages should be clarified through compensation for loss to maintain consistency in civil legislation.

Plasma density determination from ion current to cylindrical Langmuir probe with validation on hairpin probe measurements

Numerical and analytical approaches to plasma density determination from the ion current to cylindrical Langmuir probe are validated on hairpin probe measurements. An argon inductively coupled plasma discharge in a pressure range from 4.5 mTorr to 27 mTorr is studied. The discharge input power is varied in the range from 200 to 800 W, giving a plasma density in the range from 109 to 1011 cm−3. The approaches used for plasma density determination are analytical collisionless orbital motion limit theory, fluid semianalytical model of ion radial motion with ion collisions and particle-in-cell with a Monte Carlo collisions model of ion current collection by the cylindrical Langmuir probe. The relative error of different models is shown. The ion collisions should be taken into account, even at relatively low pressures, in order to get a reliable plasma density value from the ion current to the Langmuir probe.

NEW CONTROL FUNCTION APPROACHES IN THRESHOLD REGRESSION WITH ENDOGENEITY

This paper studies control function (CF) approaches in endogenous threshold regression where the threshold variable is allowed to be endogenous. We first use a simple example to show that the structural threshold regression (STR) estimator of the threshold point in Kourtellos, Stengos and Tan (2016, Econometric Theory 32, 827–860) is inconsistent unless the endogeneity level of the threshold variable is low compared to the threshold effect. We correct the CF in the STR estimator to generate our first CF estimator using a method that extends the two-stage least squares procedure in Caner and Hansen (2004, Econometric Theory 20, 813–843). We develop our second CF estimator which can be treated as an extension of the classical CF approach in endogenous linear regression. Both these approaches embody threshold effect information in the conditional variance beyond that in the conditional mean. Given the threshold point estimates, we propose new estimates for the slope parameters. The first is a by-product of the CF approach, and the second type employs generalized method of moment (GMM) procedures based on two new sets of moment conditions. Simulation studies, in conjunction with the limit theory, show that our second CF estimator and confidence interval for the threshold point together with the associated second GMM estimator and confidence interval for the slope parameter dominate the other methods. We further apply the new estimation methodology to an empirical application from international trade to illustrate its usefulness in practice.

Identifying Common and Idiosyncratic Explosive Behaviors in the Large Dimensional Factor Model with an Application to U.S. State-Level House Prices

Abstract This study applies the date-stamping methodologies for explosive behaviors proposed in the seminal work of Phillips, P. C. B., and J. Yu. (2011. “Dating the Timeline of Financial Bubbles during the Subprime Crisis.” Quantitative Economics 2 (3): 455–91), Phillips, P. C. B., S. Shi, and J. Yu. (2015a. “Testing for Multiple Bubbles: Historical Episodes of Exuberance and Collapse in the S&amp;P 500.” International Economic Review 56 (4): 1043–78), and Phillips, P. C. B., S. Shi, and J. Yu. (2015b. “Testing for Multiple Bubbles: Limit Theory of Real Time Detectors.” International Economic Review 56 (4): 1079–134) to a large dimensional factor model. To this end, we compare two methods of identifying common and idiosyncratic components: the Panel Analysis of Nonstationarity in Idiosyncratic and Common Components (PANIC) method by Bai, J., and S. Ng. (2004. “A Panic Attack on Unit Roots and Cointegration.” Econometrica 72 (4): 1127–77) and the Cross-Sectional regression (CS) method by Yamamoto, Y., and T. Horie. (2022. “A Cross-Sectional Method for Right-Tailed PANIC Tests under a Moderately Local to Unity Framework.” Econometric Theory (forthcoming)). We show that, when the explosive behavior lies only in the common component, the origination and termination dates are precisely estimated by either method. However, when the explosive behaviors exist in idiosyncratic components, only the CS method can detect them. We apply our method to the U.S. state-level real house price indices. We find that the 2000s boom was driven by not only the national bubble factors but also local components, while the 2010s onward expansion is dominated by the effect of national components.

Pancosmorio (world limit) theory of the sustainability of human migration and settlement in space

It seems to be an accepted assumption that human migration into space is inevitable. However, almost 60 years of scientific studies of the effects of space on Earth life suggest this is not a given. Life on Earth evolved in the context of conditions that are unique to Earth and are not duplicated anywhere else in our solar system. The science indicates that life-sustaining conditions on Earth could be the very things that inhibit our ability to live off-Earth. This paper combines 100 years of scientific development of a theory of ecological thermodynamics with classical mechanics theory and analytical models of self-restoring heat engines to explain how the Sun and Earth have evolved into islands of order in the entropy of space. An explanation is provided regarding how naturally occurring conservative force fields engage a diversity of natural resources in semi-reversible cycles that build a high-exergy ecosphere. The science infers that the ability to establish a human settlement in space without Earth-like self-restoring order, capacity, and organization will result in settlement sustainment challenges. Historical evidence of Earth settlements with disrupted ecosystems point to the following possibilities. Supply chains would disappear, market resources would be depleted, advancement in human pursuits would be disrupted, social and governance systems would falter or collapse, human population numbers would decline, genetic diversity in the human genome would be lost, average human individual biomass would decrease, and human knowledge and understanding would be forgotten. What does it mean to have a location in space outside of Earth be “like Earth?” The results of research are presented as a pancosmorio theory ofhuman sustainability that is developed using the scientific philosophy methodology of abductive reasoning. Four analytical models of space ecosphere sustainability and five hypotheses with proposed tests for falsifiability are provided, including a theorem that suggests a limit to human expansion into space. A new quantitative method of human sustainability is developed from theories of network ecology, providing orthogonal properties of an ecosystem network stability function based upon an ecosystem network production function. Conclusions are made regarding the potential for sustainable development in space using balanced sustainability. Insights are provided regarding human endeavors on the Moon and Mars, as well as the Fermi paradox.

Heavy-traffic single-server queues and the transform method

Heavy-traffic limit theory is concerned with queues that operate close to criticality and face severe queueing times. Let W denote the steady-state waiting time in the GI/G/1 queue. Kingman (1961) showed that W, when appropriately scaled, converges in distribution to an exponential random variable as the system’s load approaches 1. The original proof of this famous result uses the transform method. Starting from the Laplace transform of the pdf of W (Pollaczek’s contour integral representation), Kingman showed convergence of transforms and hence weak convergence of the involved random variables. We apply and extend this transform method to obtain convergence of moments with error assessment. We also demonstrate how the transform method can be applied to so-called nearly deterministic queues in a Kingman-type and a Gaussian heavy-traffic regime. We demonstrate numerically the accuracy of the various heavy-traffic approximations.