A Discrete Gamma Lifetime Model and Its Reliability Applications
Abstract
In this paper, we have first developed discrete gamma failure (dGam) lifetime model by discretizing the well-known gamma failure distribution. Thereafter, we have given a description of the distributional properties and reliability characteristics of dGam model. The next section consists of a few theorems on dGam and provides a basis for ML and Bayes estimation procedures are carried out in next sections along with a thorough simulation study depicting the behavior of these estimators. Finally, some real life situations have been discussed where dGam provides most plausible fitting.
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