 | Bayesian approach |
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 | A Bayesian Approach to a Renewal Function
Author : Bhattacharya, D.D.
Source : Defence Science Journal ; Vol:29(3) ; 1979 ; pp 107-112
Subject : 51 Mathematics;519.2 Statistics
Keywords : Asymptotic forms;Bayesian approach;Alpha priori
Abstract : The historical data on the consumption of spares are usually available in the form that the renewal function of the item could not easily be obtained by the process described by Cox/sup 1/. In this paper, a technique is discussed as to how such data be used for the renewal functions through Bayesian approach. A Beta alpha priori density for the parameter of Poisson demand is assumed that the Predictive demand distribution for such items is obtained. The renewal function in its analytical and asymptotic forms are also obtained. |
| | Renewal Function for any Arbitrary Period A Bayesian Way
Author : Bhattacharya, D.D.
Source : Defence Science Journal ; Vol:30(1) ; 1980 ; pp 17-20
Subject : 519.2 Statistics
Keywords : Poisson demand ;Beta prior;Bayesian Approach
Abstract : The usual format on which the consumption data and activity for spare parts of a system are available, makes it difficult for the evaluation of the renewal function on the procedure as laid down by Cox/sup 1/. The author has, therefore, discussed in this paper a model through Bayesian Approach as to how in such cases the renewal function could be obtained for any period of activity, provided the past experience are available in the form of a sample information. For a Beta-prior density for the mean demand rate of the Poisson demand distribution, the renewal function in its analytical and asymptotic forms are obtained. |
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