JOURNAL ARTICLE

Interval shrinkage estimation of two-parameter exponential distribution with random censored data

Abstract

The use of the two-parameter exponential distribution model in fitting survival and reliability analysis data in the presence of censored random data has recently attracted the attention of a large number of authors. Considering the importance of the model, its parameter estimation is discussed using the method of moment, maximum likelihood and shrinkage estimation. To present the interval shrinkage estimator, it is first proved that the moment estimators are asymptotically unbiased and the interval shrinkage estimator performs better compared to other estimators. Finally, using two real data sets and statistical criteria, the goodness of fit of the model is compared with censored random data based on parameter estimation methods.

Keywords:
Estimator Exponential distribution Shrinkage Interval estimation Shrinkage estimator Interval (graph theory) Estimation theory Moment (physics) Maximum likelihood

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Topics

Statistical Distribution Estimation and Applications
Physical Sciences →  Mathematics →  Statistics and Probability
Reliability and Maintenance Optimization
Physical Sciences →  Engineering →  Safety, Risk, Reliability and Quality
Power System Reliability and Maintenance
Physical Sciences →  Engineering →  Safety, Risk, Reliability and Quality

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