الفهرس 
AcknowledgementsOnly 14 pages are availabe for public view
 |  | from | 128 |  |  |
| | | from | 128 | | |
Abstract
The researchers in statistics and life testing are interesting in looking for appropriate distributions which have some nice properties that allow those distributions to be used to describe the lifetimes of some devices. This thesis aims to study a new generalization of continuous distributions. The proposed family has been named as a truncated general-G class of distributions and the only sub-mode. We aware of is the truncated Weibull -G family proposed by Najarzadegan et al. (2017). Specifically, a special sub-model of the proposed family was studied, called the truncated Weibull Rayleigh (TW-R) distribution, which is discussed in detail in this thesis. A new distribution was proposed with three parameters, called truncated Weibull Rayleigh (TW-R) distribution, Including the moments, hazard rate function, quantile function, and order statistics, are derived. To estimate the model parameters, the maximum likelihood approach is used. The practical applications have established that the proposed distribution is quite useful for dealing with reliable data and behaving better. Also, various methods were used to estimate and drive confidence intervals for the parameters of the TW-R distribution.