Estimation of stress-strength reliability from exponentiated Fréchet distribution
Loading...
Date
2016
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Springer
Abstract
In this paper, we are mainly concerned in estimating the reliability R = P(Y < X) in the exponentiated Fréchet distribution, recently proposed by Nadarajah and Kotz (2006), Acta Appl Math 92:97–111. The model arises as a generalization of the standard Fréchet distribution in the same way the exponentiated exponential distribution introduced by Gupta et al. (1998), Commun Stat Theory Methods 27:887–904. The maximum likelihood estimator and its asymptotic distribution are used to construct an asymptotic confidence interval of R. Assuming that the common scale and shape parameters are known, the maximum likelihood estimator, uniformly minimum variance unbiased estimator of R are discussed. Different methods and the corresponding confidence intervals are compared using Monte Carlo simulation. Using real data, we illustrate the procedure.
Description
Abstract. Full text article is available at https://doi.org/10.1007/s00170-016-8404-z
Keywords
Stress-strength model, Simulation studies, Asymptotic distributions, Bootstrap confidence intervals, Maximum likelihood estimator, Exponentiated fréchet distribution, Monte carlo simulation, UMVUE
Citation
Rao, G. S., Rosaiah, K., & Babu, M. S. (2016). Estimation of stress-strength reliability from exponentiated Fréchet distribution. The International Journal of Advanced Manufacturing Technology, 86(9-12), 3041-3049.