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Reliability estimation of generalized inverted exponential distribution. (English) Zbl 1178.62109

Summary: A generalized version of the inverted exponential distribution (IED) is introduced. This life time distribution is capable of modelling various shapes of failure rates, and hence various shapes of ageing criteria. The model can be considered as another useful two-parameter generalization of the IED. Statistical and reliability properties of the generalized inverted exponential distribution are derived. Maximum likelihood estimation and least squares estimation are used to evaluate the parameters and the reliability of the distribution. Properties of the estimates are also studied.

MSC:

62N02 Estimation in survival analysis and censored data
62F10 Point estimation
62N05 Reliability and life testing
62F25 Parametric tolerance and confidence regions
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References:

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