Applied Mathematics & Information Sciences

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Ailamujia distribution is a useful lifetime model for several engineering applications. The Ailamujia distribution is a versatile distribution to model the repair time and guarantee the distribution delay time. This study considers the estimation problem for Ailamujia distribution based on progressive Type-II censoring with Binomial removals. The maximum likelihood estimators (MLE’s) for the model parameters were derived along with the asymptotic confidence intervals. A simulation study was performed using different values of sample sizes, parameters, and different number of removed observations to investigate the behavior of the estimators. A real life time data set was analyzed using progressive Type-II Ailamujia distribution and showed appropriate results.

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