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Abstract
In this thesis, We apply the classical approach for estimating some characteristics of the Pareto distribution. Sir Fisher (1952) Presented this approach as a Practical method in statistical inference, which offers a consistent way for using pivotal functions and their conditional probability distribution in inference. However, two major challenges confront its Practical implementation, the specification, the specification of the pivotal quantities and the computation of the conditional probabilities is sometimes hard to mange analytically and can be facilitated by advances in Monte Carlo methods and computer power. Lawless(1982) used this approach for studying some lifetime distributions based on complete and censored samples. Maswadah(2003,2004), generalized the application of this method by estimating the parameters and reliability of the inverse Webull distribution and the extreme value distribution based on the Generalized order statistics. As a continuation of this study, we focuse in this thesis on two objectives:
The first objective of this thesis, is the derivation of the conditional confidence intervals for the parameters and some future observations from the Pareto distribution based on the complete and censored samples.