Prediction of Gamma failure times

Ogunyemi, O.T.; Nelson, Paul I.

doi:10.1109/24.664013

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Cited by 11 publications

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“…A typical case is to predict unknown observations from the observed data [13]. In most prediction problems related to the exponential distribution, which plays an important role in industrial life testing and reliability analysis, the random variable of interest is an order statistic or a function of order statistics from the same distribution.…”

Section: Introductionmentioning

confidence: 99%

An Alternative Method for Prediction Intervals of an Order Observation From One-Parameter Exponential Distribution Based on Censored Sample

2006

Journal of the Chinese Institute of Industrial Engineers

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In the paper, we construct a more precise prediction interval of the jth order observation from some pivotal quantities for the one-parameter exponential distribution based on Type II censored samples. Our method is more general in the sense that it can be applied to any data scheme. From the illustrated examples and the results of simulation, the performances of our method are better than the widely-used methods of Mann and Grubbs [12] and Kaminsky and Nelson [5,6]. For further study, our method is easily applied to other location and scale family distributions.

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Section: Introductionmentioning

confidence: 99%