Advances and Applications in Statistics
Volume 51, Issue 6, Pages 445 - 468
(December 2017) http://dx.doi.org/10.17654/AS051060445 |
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HYBRIDIZATION OF DISTRIBUTIONS USING TRANSMUTATION AND PROPORTIONAL HAZARD APPROACH
W. M. Afify
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Abstract: Hybridization process is a process of substitution by one of the methods to add parameters in another method making the distribution more effective and flexible. Although there are many distributions but we need to develop these to become more flexible for prediction of various phenomena.
Depending on proportional hazard model (PHM) and quadratic rank transmutation map (RTM) approach in hybridization process, we study the properties of these processes and compare them in case of complete sample, Type-I and Type-II censored sample using Kolmogorov-Smirnov (K-S) statistic for goodness of fit. Finally, comparisons between the maximum likelihood, least square estimation using Monte Carlo simulation and Bayes estimators using MCMC is studied. |
Keywords and phrases: proportional hazard method, quadratic rank transmutation map, exponential distribution, likelihood function, Bayes estimators, least square estimation, the quantiles, censored data, Monte Carlo and MCMC simulations. |
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