In this article, we highlight a new three-parameter heavy-tailed lifetime distribution that aims to extend the modeling possibilities of Lomax distribution. It is called extended The considered naturally appears as transformation random variable following logweighted power recently introduced for percentage or proportion data analysis purposes. As result, its cumulative has same functional basi...

In this paper, parameter estimation for the power Lomax distribution is studied with different methods as maximum likelihood, product spacing, ordinary least squares, weighted Cramér–von Mises and Bayesian by Markov chain Monte Carlo (MCMC). Robust of stress-strength model Power discussed. We propose that method spacing reliable an alternative to likelihood methods. A numerical study using real...

This paper obtains Lorenz ordering relationships among order statistics from log-logistic samples of possibly different sizes. Some results extend other families including the Lomax, Burr III and Burr XII distributions.

Armitt & Woods (1970) and Lomax & Woods (1973) reported the isolation of a series of mutants of Saccharomyces cerevisiae that did not require purines for growth, but excreted substantial amounts of purines into the growth medium. Genetic studies have assigned these yeast strains to six unlinked genes (purl, pur2, pur3, pur4, pur.5, pzv6), of which one, pur6, had both recessive and dominant (PUR...

The Bayesian prediction of future failures from Lomax distribution is the subject this research. observed data censored using a Type-I hybrid censoring scheme under step-stress partially accelerated life test. There are two types sampling schemes considered: one-sample and two-sample. We create predictive intervals for failure observations in future. constructed MCMC algorithms. After all, nume...

Cholinergic system supersensitivity may be involved in the pathophysiology of depressive disorders (Janowsky et al. 1972; Dilsaver and Greden 1984; Dilsaver 1986). Associations between stressful events and onset of depressive (Lloyd 1980) and manic (Kennedy et al. 1983) episodes are documented. Janowsky et al. (1983) proposed that stress increases the sensitivity of central cholinergic mechanis...