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Concepts of Point estimators for the Stress-Strength Reliability R=P(X>Y) using the Generalized Length Biased Maxwell Distribution and Data obtained through Ranked Set Sampling |
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PP: 183-194 |
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Author(s) |
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Surinder Kumar,
Kavita Kesarwani,
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Abstract |
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| In this article, point and interval estimators are derived for the reliability model when both strength and stress variables are
independent and follow generalized length-biased Maxwell distributions, utilizing ranked set sampling. Further, Monte Carlo
simulations are performed to evaluate and compare the performance of the maximum likelihood estimator (MLE) based on RSS with
that based on SRS. Finally, the proposed methodology is applied to real data to demonstrate its effectiveness. AIC and BIC values are
used to determine the Goodness of fit of the fitted probability distributions to the real data sets. We concluded that maximum
likelihood estimator of R based on RSS outperforms its SRS counterpart. |
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