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Prediction of future failures in the log-logistic distribution based on hybrid censored data

Wassim R. Abou Ghaida () and Ayman Baklizi
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Wassim R. Abou Ghaida: Qatar University

International Journal of System Assurance Engineering and Management, 2022, vol. 13, issue 4, No 5, 1598-1606

Abstract: Abstract We consider the prediction of future observations from the log-logistic distribution. The data is assumed hybrid right censored with possible left censoring. Different point predictors were derived. Specifically, we obtained the best unbiased, the conditional median, and the maximum likelihood predictors. Prediction intervals were derived using suitable pivotal quantities and intervals based on the highest density. We conducted a simulation study to compare the point and interval predictors. It is found that the point predictor BUP and the prediction interval HDI have the best overall performance. An illustrative example based on real data is given.

Keywords: Hybrid censoring; Log-logistic distribution; Point prediction; Prediction intervals (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1007/s13198-021-01510-3

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