Share This Article:

Selecting a Component with Longer Mean Life Time in Bivariate Pareto Models

Abstract Full-Text HTML XML Download Download as PDF (Size:232KB) PP. 355-359
DOI: 10.4236/ojs.2015.55037    2,448 Downloads   2,706 Views  

ABSTRACT

In any parallel system, selecting a component with longer mean lifetime is of interest to the researchers. Hanagal (1997) [1] discussed selection procedures for a two-component system with bivariate exponential (BVE) models. In this paper, the problem of selecting a better component with reference to its mean life time under bivariate Pareto (BVP) models is considered. Three selection procedures based on sample proportions, sample means and maximum likelihood estimators (MLE) are proposed. The probability of correct selection for the proposed procedures is evaluated through Monte Carlo simulation using normal approximation. The asymptotic relative efficiency (ARE) of the proposed procedures is presented to facilitate the evaluation of the performance of procedures.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

Pandit, P. and Joshi, S. (2015) Selecting a Component with Longer Mean Life Time in Bivariate Pareto Models. Open Journal of Statistics, 5, 355-359. doi: 10.4236/ojs.2015.55037.

References

[1] Hanagal, D.D. (1997) Selection of a Better Component in Bivariate Exponential Models. Journal of the Italian Statistical Association, 5, 453-460.
[2] Freund, J.E. (1961) A Bivariate Extension of the Exponential Distribution. Journal of the American Statistical Association, 56, 971-977.
http://dx.doi.org/10.1080/01621459.1961.10482138
[3] Marshall, A.W. and Olkin, I. (1967) A Multivariate Exponential Distribution. Journal of the American Statistical Association, 62, 30-44.
http://dx.doi.org/10.1080/01621459.1967.10482885
[4] Block, H.W. and Basu, A.P. (1974) A Continuous Bivariate Exponential Extension. Journal of the American Statistical Association, 69, 1031-1037.
[5] Hyakuntake, H. (1992) Selecting the Better Component of a Bivariate Exponential Distribution. Statistics and Decisions, 10, 153-162.
[6] Veenus, P and Nair, K.R.M. (1994) Characterization of a Bivariate Pareto Distribution. Journal of the Indian Statistical Association, 32, 15-20.
[7] Hanagal, D.D. (1997) Note on Estimation of Reliability under Bivariate Pareto Stress-Strength Model. Statistical Papers, 38, 453-459.
http://dx.doi.org/10.1007/BF02926000

  
comments powered by Disqus

Copyright © 2019 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.