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International Journal of Neutrosophic Science

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Online: 2690-6805 Print: 2692-6148
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International Journal of Neutrosophic Science
Full Length Article

Volume 26Issue 4PP: 137-142 • 2025

Estimation of the stress–strength Reliability for Benktander Distribution

Naser Odat 1*
1Department of Mathematics, Faculty of Science, Jadara University, Irbid, Jordan
* Corresponding Author.
Received: February 19, 2025 Revised: April 22, 2025 Accepted: June 09, 2025

Abstract

This work focuses on the estimation reliability function    where x and y are two independent Benktander distributions. The greatest likelihood's asymptotic distribution is found. The maximum likelihood estimator, the moment method estimator, and the approximate maximum likelihood estimator of are proposed. We obtain the asymptotic distribution of s maximum likelihood estimate. The  confidence interval can be found using the asymptotic distribution.

Keywords

Benktander Maximum likelihood Asymptotic distribution Fisher information matrix

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Cite This Article

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Odat, Naser. "Estimation of the stress–strength Reliability for Benktander Distribution." International Journal of Neutrosophic Science, vol. Volume 26, no. Issue 4, 2025, pp. 137-142. DOI: https://doi.org/10.54216/IJNS.260413
Odat, N. (2025). Estimation of the stress–strength Reliability for Benktander Distribution. International Journal of Neutrosophic Science, Volume 26(Issue 4), 137-142. DOI: https://doi.org/10.54216/IJNS.260413
Odat, Naser. "Estimation of the stress–strength Reliability for Benktander Distribution." International Journal of Neutrosophic Science Volume 26, no. Issue 4 (2025): 137-142. DOI: https://doi.org/10.54216/IJNS.260413
Odat, N. (2025) 'Estimation of the stress–strength Reliability for Benktander Distribution', International Journal of Neutrosophic Science, Volume 26(Issue 4), pp. 137-142. DOI: https://doi.org/10.54216/IJNS.260413
Odat N. Estimation of the stress–strength Reliability for Benktander Distribution. International Journal of Neutrosophic Science. 2025;Volume 26(Issue 4):137-142. DOI: https://doi.org/10.54216/IJNS.260413
N. Odat, "Estimation of the stress–strength Reliability for Benktander Distribution," International Journal of Neutrosophic Science, vol. Volume 26, no. Issue 4, pp. 137-142, 2025. DOI: https://doi.org/10.54216/IJNS.260413
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