Exponential Lomax Distribution

Abstract

In this paper, A new distribution called Exponential Lomax distribution is introduced. It is seemed that the parameter values of our new distribution are depending on decreasing and upside-down bathtub failure rate function. Also, the statistical properties of this model are studied, such as, quantiles, moments, mean deviation. Moreover, maximum likelihood estimators of it ' s parameters are discussed. Finally, the procedure is illustrated by real data set. It is shown that the introduced model is more competitive than other models.

Weighted Lomax distribution

“…The c.d.f. corresponding to McL density function is given by The Exponential Lomax (ExL) distribution introduced by El-Bassiouny et al (2015) with c.d.f. The gamma-Lomax (GL) distribution introduced by Cordeiro et al (2015) based on a versatile and flexible gamma generator proposed by Zagrafos and Balakrishnan (2009) using Stacy’s generalized gamma distribution and record value theory. The c.d.f.…”

The Exponential Flexible Weibull Extension Distribution

“…(1.4) In this article, a new generalization of the Flexible Weibull Extension (FWE) distribution called exponential flexible Weibull extension (EFWE) distribution is derived. Using the exponential generator applied to the odds ratio 1 1−G(x) , such as the exponential Pareto distribution by AL-Kadim and Boshi [7], exponential lomax distribution by El-Bassiouny et al [10]. If G(x) is the baseline cumulative distribution function (cdf) of a random variable, with probability density function (pdf) g(x) and the exponential cumulative distribution function is…”

The Half-Logistic Lomax Distribution for Lifetime Modeling

“…The HLL variables are generated using = (1/ )[((1 − )/(1 + )) 1/ − 1] given in (12), where ∼ Uniform(0, 1).…”

“…Ghitany et al [8] and Gupta et al [9] considered the Marshal-Olkin approach and extended the Lomax distribution, and Lemonte and Cordeiro [10] proposed and studied the McDonaldLomax, the beta Lomax, and the Kumaraswamy Lomax distributions. Other models constitute flexible family of distributions in terms of the variates of shapes and hazard functions; see, for example, Al-Zahrani and Sagor [11], ElBassiouny et al [12], Rady et al [2], Kilany [13], and Tahir et al [3]. These generalizations of the Lomax distribution are considered to be useful life distribution models.…”