An exponentiated Pareto distribution is defined. We then consider maximum likelihood estimator (MLE) of the threshold parameter β with known parameters α and c for the exponentiated Pareto distribution in (2.1) and then obtain the MLE of the tail-probability of the exponentiated Pareto distribution. Finally, we consider MLE of reliability in two independent exponentiated Pareto distributions.

Many distributions have been used as lifetime models. In this article, we propose a new threeparameter Weibull–Pareto distribution, which can produce the most important hazard rate shapes, namely, constant, increasing, decreasing, bathtub, and upsidedown bathtub. Various structural properties of the new distribution are derived including explicit expressions for the moments and incomplete momen...

In this paper, we use two statistics for detecting outliers in exponentiated Paretodistribution. These statistics are the extension of the statistics for detecting outliers inexponential and gamma distributions. In fact, we compare the power of our test statisticsbased on the simulation study and identify the better test statistic for detecting outliers inexponentiated Pareto distribution. At t...

The modeling and analysis of lifetimes is an important aspect of statistical work in a wide variety of scientific and technological fields. For the first time the Kum-GEP distribution is introduced and studied. This distribution can have a decreasing and upside-down bathtub failure rate function depending on the value of its parameters; it's including some special sub-model like exponentiated P...

Exponentiated models have been widely used in modeling various types of data such as survival and insurance claims data. However, the exponentiated composite distribution not explored yet. In this paper, we introduce an improvement one-parameter Inverse Gamma-Pareto model by exponentiating random variable associated with function. The goodness-of-fit was assessed using three different sets. two...

Girls College of Education in Jeddah, Scientific Section, King Abdulaziz University, P. O. Box 32691, Jeddah 21438, Saudi Arabia hanaa−[email protected] Abstract In this paper, the exact form of the probability density function (pdf) and moments of single, double, triple and quadruple of lower record values from Exponentiated Pareto distribution (EPD) are derived. We establish several recurr...