In this paper a new four-parameter lifetime distribution named “the Exponentiated gompertz-poisson (E-GP) distribution” has been suggested that it has a decreasing, increasing, bathtub-shaped and inverse bathtub-shape for modeling lifetime data. The Exponentiated gompertz-poisson has applications in economics, actuarial modelling,reliability modeling, lifetime and queuing problems and biologica...

In nonparametric curve estimation, the smoothing parameter is critical for performance. In order to estimate the hazard rate, we compare nearest neighbor selectors that minimize the quadratic, the Kullback-Leibler, and the uniform loss. These measures result in a rule of thumb, a cross-validation, and a plug-in selector. A Monte Carlo simulation within the three-parameter exponentiated Weibull ...

the fisher information matrix for a mixture of two pareto distributions is derived. numericaltabulations of the matrix are also provided for practical purposes. the work is motivated by a real-lifeexample.

empirical studies have shown that the size distribution of firms can be described as a lognormal or pareto distribution. however, these studies have focused on developed countries and little attention has been devoted to developing countries. using the variable of number of employees as a measure of firm size, this paper investigates the shape of firm size distribution in the food & beverages i...

In this paper, we introduce a new class of distributions by compounding the exponentiated extended Weibull family and power series family. This distribution contains several lifetime models such as the complementary extended Weibull-power series, generalized exponential-power series, generalized linear failure rate-power series, exponentiated Weibull-power series, generalized modified Weibull-p...

in this paper, we derive the exact analytical expressions for the shannon entropy of generalized orderstatistics from pareto-type and related distributions.