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Inference of Stress-Strength Model for a Lomax Distribution
Abstract:In this paper, the estimation of the stress-strength parameter R = P(Y < X), when X and Y are independent and both are Lomax distributions with the common scale parameters but different shape parameters is studied. The maximum likelihood estimator of R is derived. Assuming that the common scale parameter is known, the bayes estimator and exact confidence interval of R are discussed. Simulation study to investigate performance of the different proposed methods has been carried out.
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1080388Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1339
 D. Kundu, and R.D. Gupta, "Estimation of P(Y < X) for Generalized Exponential Distribution," Metrika, vol. 61(3), 2005, pp. 291-308.
 J.G. Surles, and W.J. Padgett, (1998), "Inference for P(Y < X) in the Burr Type X,model," Journal of Applied Statistical Science, 1998, pp. 225-238.
 H. Panahi and S. Asadi, "Estimation of R=P
[Y < X] for two-parameter Burr Type XII Distribution," World Academy of Science, Engineering and Technology, vol. 72, pp. 465-470, 2010.
 A.M. Awad, and M.K. Gharraf, "Estimation of P(Y
 N.A. Mokhlis, "Reliability of a Stress-Strength Model with Burr Type III Distributions," Communications in StatisticsÔÇöTheory and Methods, vol. 34, 2005, pp. 1643-1657.
 J. G. Surles, and W. J. Padgett, "Inference for P(Y < X) in the Burr type X model," Applied Statistics Science, vol, 7, 2001, pp. 225-238.
 H. S. Lomax, "Business Failures; Another example of the analysis of failure data," JASA, vol. 49, 1954, pp. 847-852.
 M. E. Ghitany, F. A. Al-Awadhi and L. A. Alkhalfan, "Marshall-Olkin Extended Lomax Distribution and Its Application to Censored Data," Communications in Statistics - Theory and Methods, vol. 36, 2007, pp. 1855-1866.
 S. Nadarajah, "Sums, products, and ratios for the bivariate lomax distribution," Computational Statistics & Data Analysis, vol. 49, 2005, pp. 109-129.
 S. K. Mohamed and A. M. Abd-Elfattah, "Parameter Estimation of The Hybrid Censored Lomax Distribution" Pakistan Journal of Statistics and Operation Research, vol. 7, 2011.
 A.H. Aharby, "A Study on Lomax Distribution as a Life Testing Model," The Scientific Journal for Economic and Commerce, vol. 3, 2003.
 G.S. Rao, "On Sample Size Estimation For Lomax Disrtibution," Australian Journal of Basic and Applied Sciences, vol. 1, 2007, pp. 373- 378.
 D.V. Lindley, (1980). "Approximate Bayesian methods," Trabajos de Estadistica, vol, 3, 1980, pp. 281-288.