Work

Fuzzy Stress and Strength Reliability Based on the Generalized Mixture Exponential Distribution

Year: 2024

Type: article

Abstract: In this paper, we will discuss the stress and strength reliability and the fuzzy stress and strength reliability based on the generalized mixtures of exponential distribution. A fuzzy membership function is defined as a function of the difference between stress and strength values and is increasing whenever X > Y. Several estimation methods, such as Maximize likelihood estimation method, Weighted Least squared estimation method and Percentile estimation method, will be provided to estimate the corresponding measures. Simulation studies are constructed to compare the performances of the proposed estimators. The comparisons are based on the biases, mean squared errors (MSEs) and the efficiency of the estimators. One data analysis has been performed for illustrative purpose.

Source: Mathematics

DOI: 10.3390/math12172684

Authors: Weizhong Tian, Chengliang Tian, Sha Li, Yunchu Zhang, Jiayi Han

Institutions: Shenzhen Technology University, Qingdao University

Language: English

Topic: Statistical Distribution Estimation and Applications

Subfield: Statistics and Probability

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,955

Funder: Shenzhen Technology University