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Estimation of Reliability for Stress-Strength Cascade Model
Goa Institute of Management, Sanquelim, India
Department of Statistics, Karnatak University, Dharwad, India
- 1 Goa Institute of Management, Sanquelim, India
- 2 Department of Statistics, Karnatak University, Dharwad, India
Open Journal of Statistics·Volume 06 (2016)·Pages 873–881·Published 22 September 2016·DOI10.4236/ojs.2016.65072
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Abstract
The study endeavors to provide statistical inference for a (1 + 1) cascade system for exponential distribution under joint effect of stress-strength attenuation factors. Estimators of reliability function are obtained using Maximum Likelihood Estimator (MLE) and Uniformly Minimum Variance Unbiased Estimator (UMVUE) of the parameters. Asymptotic distribution of the parameters is also obtained. Comparison between estimators is made using data obtained through simulation experiment.
KeywordsCascade SystemStrength Attenuation FactorReliability ModellingLife Testing ExperimentEstimators of Reliability Function
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