Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

On Estimation for Reliability of Stress-Strength Model Based on Topp-Leone Distribution

Version 1 : Received: 8 October 2023 / Approved: 9 October 2023 / Online: 9 October 2023 (10:47:21 CEST)
Version 2 : Received: 10 October 2023 / Approved: 11 October 2023 / Online: 11 October 2023 (10:32:33 CEST)

How to cite: Taha, T.A.; Salman, A.N. On Estimation for Reliability of Stress-Strength Model Based on Topp-Leone Distribution. Preprints 2023, 2023100481. https://doi.org/10.20944/preprints202310.0481.v1 Taha, T.A.; Salman, A.N. On Estimation for Reliability of Stress-Strength Model Based on Topp-Leone Distribution. Preprints 2023, 2023100481. https://doi.org/10.20944/preprints202310.0481.v1

Abstract

The Paper points at an important point, which is estimate the reliability of system used for stress-strength model when the stress and strength follows Topp-Leone distribution. In this context, this work including two models of stress –strength, the first one when the system has one component with strength subject to one stress, while the another model concern with system has one component which has strength subject for two bounded stresses .The expressions of system reliability of two considered models were derived and estimate using different methods. Comparisons between the considered estimators were made depending on simulation technique based on statistical criterion namely mean squared error.

Keywords

Topp-Leone Distributions; Stress-Strength Model; Monte Carlo simulation

Subject

Computer Science and Mathematics, Probability and Statistics

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