Reliability Estimation for Multicomponent Stress-Strength Model Using Median Ranked Set Sampling in Case of Topp-Leone Distribution
Year: 2023
Type: article
Abstract: This paper seeks to focus on estimation the reliability of multicomponent stress-strength model when component stresses and strengths are assumed to have Topp-Loene (TL) distribution, our study is concentrated on the probability exceed where the components having strengths following -independently and identically distributed random variables and each component experiencing a random stress . is estimated based on median ranked set sampling (MRSS) and ranked set sampling (RSS) schemes and compare the results with simple random sampling (SRS). Maximum likelihood method (ML) of estimation is obtained to make inference about based on different sampling techniques. Modified maximum likelihood (MML) methodology is used to give explicit estimator of as an alternative procedure to maximum likelihood method in case of ranked set sampling and median ranked set sampling. An extensive numerical study is investigated to compare the performance of the different sampling techniques. Finally, an illustrative example of a real data is used to show the application of the methods in practice.
Source: Thailand Statistician Thailand
Authors: Yahya, Marwa, Shaaban, Mostafa
Language: English
Subfield: Statistics and Probability
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
OpenAlex ID: W7220105472