Statistical Analysis of the Renewal Process and its Application in the Power Station Mosul gas

Abstract

The renewal process is an important topic and useful stochastic processes in studying systems deteriorating.The renewal process was commonly studied in the repairable or sustainable systems, which the system before failed would be as good as new, or back as if they were new when the replaced policy use in maintenance. The aim of this research is to study the statistical analysis of the renewal process with some details, and estimate the rate of the occurrence of events by estimating the renewal function in different methods, and using common probability distributions in life tests.The research also includes real application about the Mosul gas power station (North production in the Nineveh province), and the objective of the application is to estimate the rate of the occurrence of failures for each of the units being studied to get a function can be used to know the expected number of units breaks during the period under study, as well as a comparison of different methods of estimation the renewal process.A number of important theoretical conclusions of the renewal process has been reached through the use of various probability distributions, as well as own conclusions by estimating the renewal function for gas Mosul power station units.