Fuzzy Survival and Hazard Functions Estimation for Rayleigh distribution

  • Iden H. Hussein College of Science of Women, University of Baghdad, Baghdad, Iraq
  • Hadeer A. Hamas College of Science of Women, University of Baghdad, Baghdad, Iraq
Keywords: Maximum likelihood estimator, moment estimator, survival function and hazard function, fuzzy number

Abstract

In this article, performing and deriving the probability density function for Rayleigh distribution by using maximum likelihood estimator method and moment estimator method, then crating the crisp survival function and crisp hazard function to find the interval estimation for scale parameter by using a linear trapezoidal membership function. A new proposed procedure used to find the fuzzy numbers for the parameter by utilizing (     to find a fuzzy numbers for scale parameter of Rayleigh distribution. applying two algorithms by using ranking functions to make the fuzzy numbers as crisp numbers. Then computed the survival functions and hazard functions by utilizing the real data application.

Published
2019-03-27
How to Cite
Hussein, I. H., & Hamas, H. A. (2019). Fuzzy Survival and Hazard Functions Estimation for Rayleigh distribution. Iraqi Journal of Science, 60(3), 624-632. Retrieved from https://ijs.uobaghdad.edu.iq/index.php/eijs/article/view/657
Section
Mathematics