‎In this paper‎, ‎we have dealt with the distribution theory of concomitants of order statistics arising from Farlie-Gumbel-Morgenstern bivariate Lomax distribution‎. ‎We have discussed the estimation of the parameters associated with the distribution of the variable Y of primary interest‎, ‎based on the ranked set sample defined by ordering the marginal observations...

In this paper, we consider improving maximum likelihood inference for the scale parameter of Lomax distribution. The improvement is based on using modifications to estimator Barndorff-Nielsen modification profile function. We apply these obtain improved estimators distribution in presence a nuisance shape parameter. Due complicated expression Barndorff-Nielsen's modification, several approximat...

In this paper, simulation studies and applications of the New Weibull-Inverse Lomax (NWIL) distribution were presented. studies, different sample sizes ranging from 30, 50, 100, 200, 300, to 500 considered. Also, 1,000 replications considered for experiment. NWIL is a fat tail distribution. Higher moments are not easily derived except with some approximations. However, estimates have higher pre...

In this paper, we derived recurrence relations for joint moment generating functions of nonadjacent generalized order statistics (GOS) of random samples drawn from doubly truncated class of continuous distributions. Recurrence relations for joint moments of nonadjacent GOS (ordinary order statistics (OOS) and k-upper records (k-RVs) as special cases) are obtained. Single and product moment gene...

This paper considers parameter estimations in Lomax distribution under progressive type-II censoring with random removals, assuming that the number of units removed at each failure time has a binomial distribution. The maximum likelihood estimators (MLEs) are derived using the expectation-maximization (EM) algorithm. The Bayes estimates of the parameters are obtained using both the squared erro...

Every day, new data must be analysed as well possible in all areas of applied science, which requires the development attractive statistical models, that is to say adapted context, easy use and efficient. In this article, we innovate direction by proposing a model based on functionalities sinusoidal transformation power Lomax distribution. We thus introduce three-parameter survival distribution...