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Inference for the two-parameter exponential distribution with generalized order statistics

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  • Magdy E. El-Adll

Abstract

Inferences about estimation and prediction of the two-parameter exponential distribution are based on generalized order statistics. Point and interval estimates are used for scale and location parameters. Unbiased point predictors and reconstructors are based upon pivotal quantities. The mean square error and Pitman’s measure help assess the closeness of estimators and predictors. Point estimators of scale and location parameters and point predictors of future observations are computed in the application of durations until remission of 20 leukemia patients and in the application until failure of air-conditioning systems.

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  • Magdy E. El-Adll, 2021. "Inference for the two-parameter exponential distribution with generalized order statistics," Mathematical Population Studies, Taylor & Francis Journals, vol. 28(1), pages 1-23, January.
    • Handle: RePEc:taf:mpopst:v:28:y:2021:i:1:p:1-23
    DOI: 10.1080/08898480.2019.1681187
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    Cited by:

    1. Magdy El-Adll & H. M. Barakat & Amany Aly & Ning Cai, 2022. "Asymptotic Prediction for Future Observations of a Random Sample of Unknown Continuous Distribution," Complexity, Hindawi, vol. 2022, pages 1-15, April.
    2. Amany E. Aly, 2023. "Predictive inference of dual generalized order statistics from the inverse Weibull distribution," Statistical Papers, Springer, vol. 64(1), pages 139-160, February.

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