الفهرس 
Title : Studies On Some Exponentiated Distributions
AbstractOnly 14 pages are availabe for public view
 |  | from | 164 |  |  |
| | | from | 164 | | |
Abstract
One of the interesting points for the statisticians is to look for distributions that have some properties, which enable them to use these distributions to describe the lifetimes of some devices. Among those distributions, with constant, increasing, decreasing failure rates and other distributions with all of these types of failure rates on di{uFB00}erent periods of time, the exponentiated power Lomax distribution is one of the distributions which has a di{uFB00}erent types of failure rates. This thesis focuses on exponentiated distributions and their properties. Most of the available literature concerning such exponentiated distributions are collected. The expo- nentiated power Lomax (EPOLO) distribution with four parameters is proposed by ex- ponentiating the cumulative distribution function of the power Lomax distribution with a positive real parameter. Four methods are used to estimate the unknown parameters, namely, maximum likelihood, least squares, weighted least squares and Cramer-Von- Mises methods. The four di{uFB00}erent methods of estimations were carried by simulation studies for both complete and censored data to examine the parameters behavior. EPOLO distribution was {uFB01}tted to three di{uFB00}erent real life data sets: the number of revolutions of ball bearings, the tumor size of lung cancer patients and the con{uFB01}rmed total deaths of the COVID-19 in Egypt and the results were compared with some known distributions to illustrate the {uFB02}exibility of the proposed distribution against the other competitors