| Summary: | 碩士 === 淡江大學 === 統計學系碩士班 === 93 === In many industrial processes, life test is conducted in order to assess the quality of a product. However, in practice, life tests are usually terminated before the complete lifetimes of the n products are observed due to the time, cost or mistakes of operating. This results in a censored data. The Type II progressive censoring with random removals is thus arisen. This research is mainly concentrating on the statistical inferences for the parameters of the Extreme-value and Pareto distributions based on the Type II progressive censored data.
To begin with, the methods of binomial and random removal are discussed. We propose the confidence interval, joint confidence region, and hypothesis testing among the parameters of Extreme-value and Pareto distributions under binomial and random removals respectively. Finally, the performances of the proposed pivotal quantities based on the length of confidence interval, the area of confidence region, and the power of hypothesis testing are presented.
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