الفهرس | Only 14 pages are availabe for public view |
Abstract Theory of characterization is a very interesting branch of science which plays an important role in many fields such as mathematical statistics, reliability, statistical inference, theory of mixtures and actuarial science. It concerns with the characteristic properties of the probability distributions that helps researchers to distinguish them and in most cases determine distributions uniquely. Many concepts have been used to characterize different types of probability distributions. Some of the most used are: conditional expectation, mean residual life function, failure rate function, truncated moments, recurrence relations and order statistics. This thesis consist of 4 chapters : Chapter(1) consists of introduction and review literature Chapter (2) Use the double truncated moment to identify several distributions. Chapter (3) Uses the definition of order statistics to characterize some of probability distribution .Chapter(4) Uses the definition of mixture to characterize some of probability distribution |