A scale parameters and modified reliability estimation for the inverse exponential rayleigh distribution

Shurooq A.K. AL-Sultany

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A scale parameters and modified reliability estimation for the inverse exponential rayleigh distribution

Author(s)

Shurooq A.K. AL-Sultany Department of Mathematics, College of Science Mustansiriyah University, Baghdad, Iraq

Abstract

This paper present methods for estimating a scale parameters and modified reliability for the Inverse Exponential Rayleigh Distribution include Maximum Likelihood, rank set sampling and Cramér-von-Mises Estimations. In all the mentioned estimation methods, the Newton-Raphson iterative numerical method was used. Then a simulation was conducted to compare the three methods with six cases and different sample sizes. The comparisons between scale parameter estimates were based on values from Mean Square Error while it was based on values from Integrated Mean Square Error for the estimates of the modified reliability function. The results show that Cramér-von-Mises (MCV) estimators is the best among the other two methods for estimating the modified reliability function.

Publication Details

Page(s) 403-414

DOI DOI not available

Published Journal: Pakistan Journal of Statistics, Volume: 40, Issue: 4, Year: 2024

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Keywords

Maximum Likelihood Estimation, Rank set sampling, Cramér-von-Mises Estimation, modified reliability. integral square error, Inverse Exponential Rayleigh Distribution.

References

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