Document Details
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Document Type |
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Thesis |
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Document Title |
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On Mixtures of Exponentiated Exponential Distribution خلائط التوزيعات الأسي أسية |
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Subject |
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On Mixtures of Exponentiated Exponential Distribution |
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Document Language |
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Arabic |
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Abstract |
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المستخلص انجليزي The exponentiated exponential distribution or the generalized exponential distribution is introduced as a special case of the exponentiated Weibull with three parameters.
The significance of this distribution can be used effectively to analyze the data life times positive, as well as his perfect interpretations of the physical, that it is a parallel system of n components , in the sense that the system works if at least one of the components works, and whether the distributions of lifetime of these components are exponential random variables with independent and identical distributions, then the distribution of lifetime of this system follows the exponentiated exponential distribution.
This thesis concentrated on the mixture of two exponentiated exponential distributions, and the main aims of this study are to present the mixture under study, discuss it's properties, and study its relations with other distributions, estimate the two shape parameters by different methods of non-Bayesian estimation, and these methods are: maximum likelihood method for complete and censored samples type I, moments method, percentiles method, least squares and weighted least squares, then compare the estimators and determined which kind more better than the others using Monte Carlo simulation study, discuss the Bayesian estimator of two shape parameters, survival function and failure rate, and compare it with maximum likelihood estimator based on two kind of loss functions, that is quadratic loss function and linear – exponential (LINEX) loss function using Lindley's approximation by Monte Carlo simulation study, study the order statistics and record values of the mixture were also aims in this study, the study including the inferences based on order statistics and record values will be drive.
Applying the goodness of fit tests based on empirical distribution function and get the critical values tables of the modified Kolmogorov-Smirnov (KS), Anderson- Darling (AD), Cramer-Von Mises (CvM) goodness of fit test for mixture using different sizes of complete samples and type II censored samples with concerning fractions 80% , 90%, in case two shape parameters unknown.
Mathematica 4.0 computer program was used to get our tables, figures and numerical results. |
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Supervisor |
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DR.SHAWGI AHMED ALSAYYED |
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Thesis Type |
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Master Thesis |
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Publishing Year |
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1431 AH
2011 AD |
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Added Date |
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Monday, February 16, 2015 |
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Researchers
| مها علي الدحلان | ALDAHLAN, MAHA ALI | Investigator | Doctorate | |
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