ItemArticle

SHRINKAGE BASED ESTIMATION FOR STRESS STRENGTH RELIABILITY P[Y < X < Z] FOR THE EXPONENTIAL DISTRIBUTION

Title
SHRINKAGE BASED ESTIMATION FOR STRESS STRENGTH RELIABILITY P[Y < X < Z] FOR THE EXPONENTIAL DISTRIBUTION
Creator
Jeevanand, E.S.; Anjana, E.J.; Prabhu, Sowbhagya S.; Rebello, Joseph Justin
Description
Estimating stress-strength reliability of the form P(Y < X < Z) is a pivotal concern in reliability analysis, particularly when systems are subjected to both lower and upper stress limits. This paper investigates the reliability measure under the assumption that the stress variables Y and Z, as well as the strength variable X, follow exponential distributions. The analysis is conducted using both complete samples and right-censored samples to reflect realistic data collection scenarios. To improve estimation efficiency, we propose several shrinkage estimators based on distinct strategies: a constant shrinkage weight factor, a modified Thompson-type shrinkage weight, and the formulation introduced by Mehta and Srinivasan (1971). The performance of these estimators is evaluated via extensive Monte Carlo simulations and compared against the conventional maximum likelihood estimator, demonstrating the relative merits and limitations of each approach. ARF India, Gurgaon, India.
Source
Asian Journal of Statistical Sciences;Volume;5;Issue;1;pp.57-69
Date
01-01-2025
Publisher
ARF India
Subject
Exponential distribution; Shrinkage estimation; Stress Strength reliability
Coverage
Jeevanand E.S., Department of Statistics and Data Science, Christ University, Karnataka, India; Anjana E.J., Department of Mathematics, Rheinische Friedrich Wilhelms Universit, Bonn, 53115, Germany; Prabhu S.S., Department of Statistics, Rajagiri College of Social Sciences, Kerala, India; Rebello J.J., St. Alberts College (Autonomous), Kerala, Ernakulam, 682018, India
Rights
Restricted Access; Hardcopy may be available in the library
Relation
ISSN: 25829912;
Format
online
Language
English
Type
Article

Citation

Jeevanand, E.S.; Anjana, E.J.; Prabhu, Sowbhagya S.; Rebello, Joseph Justin, “SHRINKAGE BASED ESTIMATION FOR STRESS STRENGTH RELIABILITY P[Y < X < Z] FOR THE EXPONENTIAL DISTRIBUTION,” CHRIST (Deemed To Be University) Institutional Repository, accessed June 20, 2026, https://archives.christuniversity.in/items/show/23782.

Output Formats