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Abstract The main aim of this thesis is to obtain statistical estimation for exponentiated Pareto distribution based on unified hybrid censoring scheme. The thesis consists of three chapters: In Chapter 1, we present some basic concepts which will be used through out this thesis. Also, we show a historical survey on some studies in theoretical and application which have been made on unified hybrid censored scheme and exponentiated Pareto distribution. In Chapter 2, we study the problem of estimating unknown parameters of the exponentiated Pareto distribution (EPD) by utilizing unified hybrid censored scheme (UHCS). Based on balanced loss functions, we calculate the Bayes estimates, the corresponding reliability, hazard rate functions and coefficient of variation of the EPD by using the Lindley’s approximation. According to Monte Carlo simulation, the mean squared errors (MSEs) are computed to compare the performance of the maximum likelihood and the Bayesian estimates. For the purpose of illustration, we finally provide real data sets analyses. In Chapter 3, this chapter aims to study the problem of point and interval estimations of the exponentiated Pareto distribution utilizing unified hybrid censored scheme (UHCS). We utilize three methods, including the maximum likelihood, parametric bootstrap and Bayes of estimating the unknown parameters, reliability, hazard rate functions and coefficient of variation. Furthermore, Markov chain Monte Carlo samples utilizing importance sampling scheme are utilized to generate the Bayes estimates and the credible intervals for unknown quantities. The findings of Bayes method computed using balanced loss function. The suggested methods can be understood by analysing a set of real data. The results of this chapter have been published in ”Journal of the Egyptian Mathematical Society” [Ghazal and Shihab, 2018]. Also, the thesis contains a list of references as well as an arabic summary. |