Bivariate failure rates and mean residual lives for nonnegative integer valued discrete variables are defined and examined for the unique determination of the underlying frequency function. As an application, a bivariate geometric distribution is obtained through a characterization approach based on
Characterizations and model selections through reliability measures in the discrete case
β Scribed by Dilip Roy; R.P. Gupta
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 91 KB
- Volume
- 43
- Category
- Article
- ISSN
- 0167-7152
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β¦ Synopsis
Using the general relationships amongst probability functions, failure rate function and mean residual life function, common measures used to describe continuous reliability distributions, we present some characterization results for geometric, Waring and negative hypergeometric distributions in the discrete setup. Some classical stochastic modelling problems have also been examined from both selection of the model and validation of the model points of view.
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