Prediction for Inverted Topp-Leone Distribution Based on Constant Stress-Partially Accelerated Life Testing
| المصدر: | المجلة العلمية لقطاع كليات التجارة |
|---|---|
| الناشر: | جامعة الأزهر - كلية التجارة |
| المؤلف الرئيسي: | Behairy, Sarah Mohammad (Author) |
| مؤلفين آخرين: | Al-Sayed, N. T. (Co-Author) |
| المجلد/العدد: | ع29 |
| محكمة: | نعم |
| الدولة: |
مصر |
| التاريخ الميلادي: |
2023
|
| الشهر: | يناير |
| الصفحات: | 45 - 75 |
| ISSN: |
2636-3674 |
| رقم MD: | 1483771 |
| نوع المحتوى: | بحوث ومقالات |
| اللغة: | الإنجليزية |
| قواعد المعلومات: | EcoLink |
| مواضيع: | |
| كلمات المؤلف المفتاحية: |
Inverted Topp-Leone Distribution | Balanced Loss Functions | Two-Sample Prediction | Maximum Likelihood | Bayesian and E-Bayesian Prediction
|
| رابط المحتوى: |
الناشر لهذه المادة لم يسمح بإتاحتها. |
| المستخلص: |
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. |
|---|---|
| ISSN: |
2636-3674 |
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