Prediction for Inverted Topp-Leone Distribution Based on Constant Stress-Partially Accelerated Life Testing | ||
| المجلة العلمية لقطاع کليات التجارة بجامعة الأزهر | ||
| Volume 29, Issue 1, January 2023, Pages 45-75 PDF (14.11 M) | ||
| Document Type: المقالة الأصلية | ||
| DOI: 10.21608/jsfc.2023.367836 | ||
| Authors | ||
| , S. M Behairy; N. T AL-Sayed, | ||
| Abstract | ||
| Prediction of future observations on the basis of the past and present information is a fundamental problem of statistics, arising in many contexts and producing varied solutions. The predictor can be either a point or an interval predictor. This paper focuses on predicting the future observations from the inverted Topp-Leone distribution for constant stress-partially accelerated life test based on Type II censored samples. The two-sample prediction is applied to obtain the conditional maximum likelihood, Bayesian and E-Bayesian prediction (point and interval) for future order statistics. The Bayes and E-Bayes predictors are considered under two different loss functions, the balanced squared error loss function; as a symmetric loss function and balanced linear exponential loss function; as an asymmetric loss function. The predictors are obtained based on gamma prior and uniform hyperprior distributions. A numerical example is provided to illustrate the theoretical results and an application using real data sets are used to demonstrate how the results can be used in practice. | ||
| Keywords | ||
| Inverted Topp-Leone distribution; balanced loss functions; two-sample prediction; maximum likelihood, Bayesian and E-Bayesian prediction | ||
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