Abstract
The transmuted family of distributions has been receiving increased attention over the last few years. In this paper, we generalize the Marshall-Olkin extended Lomax distribution using the quadratic rank transmutation map to obtain the transmuted Marshall-Olkin extended Lomax distribution. Several properties of the new distribution are discussed including the hazard rate function, ordinary and incomplete moments, characteristic function and order statistics. We provide an estimation procedure by the maximum likelihood method and a simulation study to assess the performance of the new distribution. We prove empirically the flexibility of the new model by means of an application to a real data set. It is superior to other three and four parameter lifetime distributions.
Highlights
Non-negative random variables are used to model a wide variety of applications in survival analysis, demography, reliability, actuarial study and other areas
We study a new four-parameter lifetime model, named the transmuted Marshall–Olkin extended Lomax (TMOELx) distribution, obtained from the transmuted-G (T-G) family
We present some sub-models of the new distribution
Summary
Non-negative random variables are used to model a wide variety of applications in survival analysis, demography, reliability, actuarial study and other areas. For this reason, there is a growing interest in constructing new distributions with positive real support to model lifetime data in several fields. One of the most useful methods to generate new distributions is the integral transform of existing distributions, usually referred to as generalized G classes (Tahir & Nadarajah 2015). The principal reason for this is the ability of these generalized distributions to be more flexible than the baseline G distribution and provide better fits to skewed data (Pescim et al 2010). A detailed compilation of these families can be found in Tahir & Nadarajah (2015)
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