Alpha Power Lomax Distribution: Properties and Application

Abstract

This study offers a newly proposed distribution called alpha power Lomax (APL) distribution as a new extension of the Lomax distribution using the alpha power transformation (APT) method. Some distributional properties of newly defined distribution such as density function, moments, hazard and survival functions, orders statistics etc. are investigated. Parameters of the APL distribution are estimated with the help of the maximum likelihood (ML) estimation method. The applicability of the APL distribution is conducted through a simulation study and a real data example.

A reliability analysis for electronic devices under an extension of exponentiated perks distribution

“…This distribution gives a competitive advantage to the APTW for representing the failure times of different classes of devices. Other related works that use the APT with some other distribution and have very competitive results can be seen in Ali et al., 39 Basheer, 40 Ibrahim et al., 41 Bulut et al., 42 Basheer, 43 Hassan et al 44 …”

“…This distribution gives a competitive advantage to the APTW for representing the failure times of different classes of devices. Other related works that use the APT with some other distribution and have very competitive results can be seen in Ali et al, 39 Basheer, 40 Ibrahim et al, 41 Bulut et al, 42 Basheer, 43 Hassan et al 44 Based on the above background, this paper presents a model that proposes an EXP extension through APT. Thus, the Alpha Power Transformation Exponentiated Perks Distribution (AEXP) is introduced as an alternative for analyzing failure times in EDs.…”

Alpha Power Moment Exponential Model with Applications to Biomedical Science

“…Ordinary and Incomplete Moments. If X has the PDF (12), then its kth moment can be obtained as follows:…”

“…In literature, many probability distributions have been prepared by several researches using this approach; for instance, APT Weibull (APTW) distribution [2], APT inverse exponential [3], APT extended exponential distribution [4], APT Lindley model [5], APT inverse Lindley model [6], APTpower Lindley [7], APT Kumaraswamy distribution [8], APT Pareto model [9], APT inverse Lomax [10], Marshall-Olkin APT Weibull distribution with different estimation methods based on Type-I and Type-II censored samples [11], and APT Lomax distribution [12], among others.…”

A Novel Extended Power-Lomax Distribution for Modeling Real-Life Data: Properties and Inference

“…It has been applied in several felds such as reliability and life testing [2], biological sciences [3], modeling business failure data [4], and analysis of income and wealth data [5]. Several authors have proposed many extensions of the Lx distribution including the Fréchet Topp-Leone Lomax [6], McDonal-Lomax [7], beta exponentiated-Lomax [8], transmuted Weibull-Lomax [9], Kumaraswamy-Lomax [7], Burr-X Lomax [10], the odd exponentiated half-logistic Lomax [11], Weibull-Lomax [12], Lomax-Weibull [13], alpha-power Lomax [14], and power Lomax [15], among others.…”