Abstract
This article proposes a new family of continuous distributions generated from a log dagum random variable (named Log-Dagum Weibull Distribution) on the basis of T-X family technique. mathematical and statistical properties including survival function, hazard and reverse hazard function, Rth moments, L-moments, incomplete rth moments, quantile points, Order Statistics, Bonferroni and Lorenz curves as well as entropy measures for this class of distributions are presented also LDW distribution characterized by truncated moments order statistics and upper record values. Simulation study of the proposed family of distribution has been derived. The model parameters are obtained by the method of maximum likelihood estimation. We illustrate the performance of the proposed new family of distributions by means of four real data sets and the data sets show the new family of distributions is more appropriate as compared to Exponentiated exponential distribution (EED), Weibull distribution (WD), Gamma distribution (GD), NEED Nadarajah Exponentiated exponential distribution and Lomax distribution (LD). Moreover, perfection of competing models is also tested via the Kolmogrov-Simnorov (K S), the Anderson Darling (A*) and the Cramer-von Misses (W*). The measures of goodness of fit including the Akaike information criterion (AIC), consistent Akaike information criterion (CAIC), Bayesian information criterion (BIC), Hannan-Quinn information criterion (HQIC) are computed to compare the fitted models.
Highlights
Statistical distributions are extensively used in the literature for the modeling and the forecasting of real life phenomena
Mc-G family considered by Alexander et al [5] the Weibull-X family of distributions developed by Alzaatreh et al [3] the exponentiated generalized class derived by Cordeiro et al [15] the Exponentiated T-X family developed by Alzaghal et al [1] the weibull-G family proposed by Bourguignon et al [13] the exponentiated half-logistic family considered by Cordeiro et al [17] the gamma-G family introduced by Torabi and Montazari [33] the log-gamma-G family developed by Amini et al [7] the gamma-x family introduced by Alzaatreh et al [4] the logistic-G family introduced by Torabi and Montazari [32]
The pdf of the jth order statistics for a random sample of size n from the Log-Dagum Weibull (LDW) distribution is, given as follows
Summary
Aneeqa Khadim1, Aamir Saghir1, Tassadaq Hussain1, Mohammad Shakil2, Mohammad Ahsanullah3 Email address: To cite this article: Aneeqa Khadim, Aamir Saghir, Tassadaq Hussain, Mohammad Shakil, Mohammad Ahsanullah. A Log-Dagum Weibull Distribution: Properties and Characterization. Applied and Computational Mathematics. Vol 10, No 5, 2021, pp. 100-113. doi: 10.11648/j.acm.20211005.11 Received: September 10, 2021; Accepted: September 27, 2021; Published: October 12, 2021
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
