Maximum Penalized Likelihood Estimation for the Reliability Function

Document Type : Original Article

Authors

1 Institute of statistical studies, research, Cairo University, Egypt

2 Department of Mathematics, Faculty of Education, Ain Shams University, Egypt

3 "Department of Mathematics, Faculty of Education, Ain Shams University, Egypt

Abstract

This paper considers the problem of estimating probability density function based on maximum   Maximum Penalized Likelihood Estimation , we will review some of the previous studies on  Maximum Penalized Likelihood Estimation  ( MPLE) approaches. Finally, a comparative study using maximum  Penalized Likelihood Estimation  for reliability parameter based on two-parameter exponential distribution that supported by simulation study. 

Keywords