Advances and Applications in Statistics
Volume 63, Issue 1, Pages 1 - 22
(July 2020) http://dx.doi.org/10.17654/AS063010001 |
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BAYESIAN PREDICTION INTERVALS FOR A NEW BATHTUB SHAPE FAILURE RATE LIFETIME MODEL IN THE PRESENCE OF OUTLIERS
Ayed R. A. Alanzi and S. F. Niazi Ali
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Abstract: Banking upon on doubly Type-II censored samples, it is important to consider the role of lifetime distribution based on the Bayesian prediction intervals. A two-sample prediction technique was applied using the past and previous parameters for the single statistical significance problem. A combination of approximation approaches identified the major problem of the outlier presence, which affects the prior density estimations when unknown parameters are implemented. The gamma conjugate prior and joint prior cases are used to illustrate the statistical significance of the problem discussed, which are further supported by numerical estimations. |
Keywords and phrases: doubly censored samples, outliers, bivariate prior, Bayesian prediction, density function, bathtub-shaped model.
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