Abstract
A new lifetime model called the odd exponentiated half-logistic Burr XII is defined and studied. Its density function can be expressed as a linear mixture of Burr XII densities. The proposed model is capable of modeling various shapes of hazard rate including decreasing, increasing, decreasing-increasing-constant, reversed J-shape, J-shape, unimodal or bathtub shapes. Various of its structural properties are investigated. The maximum likelihood method is adopted to estimate the model parameters. The flexibility of the new model is proved empirically using two real data sets. It can serve as an alternative model to other lifetime distributions in the existing literature for modeling positive real data in many areas
Highlights
The statistical literature contains hundreds of distributions which have several applications in various applied areas such as reliability, engineering, economics, insurance, life testing and biomedical sciences, among other
We study a new extension of the BXII model called the odd exponentiated half-logistic Burr XII (OEHLBXII) distribution which provides more flexibility in modelling data in several areas
The OEHLBXII properties Some properties of the OEHLBXII distribution including linear representation, quantile functoin (QF), ordinary and incomplete moments, moment generating function (MGF), mean residual life (MRL), mean inactivity time (MIT) and order statistics are derived
Summary
The statistical literature contains hundreds of distributions which have several applications in various applied areas such as reliability, engineering, economics, insurance, life testing and biomedical sciences, among other. These applications have indicated that there are many data sets following the classical models are more often the exception rather than the reality. We study a new extension of the BXII model called the odd exponentiated half-logistic Burr XII (OEHLBXII) distribution which provides more flexibility in modelling data in several areas. Where g(x; ξ) is a bsaeline PDF and α and λ are positive shape parameters which provide more flexibility in accommodating all forms of the hazard rate function (HRF) of the generated model. The OEHLBXII properties Some properties of the OEHLBXII distribution including linear representation, quantile functoin (QF), ordinary and incomplete moments, moment generating function (MGF), mean residual life (MRL), mean inactivity time (MIT) and order statistics are derived
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