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Statistical Estimation For The Parameters Of Weibulldistribution Based On Progressively Type-i Interval censored Sample

机译:基于逐步i型区间删失样本的威布尔分布参数统计估计

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摘要

In this paper, the estimation of parameters based on a progressively type-I interval censored sample from a two-parameter Weibull distribution is studied. Different methods of estimation are discussed. They include the maximum likelihood estimation, method of moments, estimation based on Weibull probability plot, mid-point approximation method and one-step approximation method. The estimation procedures are discussed in details and compared via Monte Carlo simulations in terms of their biases and mean square errors. Some recommendations are made from the simulation results and a numerical example is presented to illustrate all of the methods of estimation developed here.
机译:本文研究了基于两参数威布尔分布的渐进式I区间删失样本的参数估计。讨论了不同的估计方法。它们包括最大似然估计,矩量法,基于威布尔概率图的估计,中点近似法和一步近似法。估计程序将进行详细讨论,并通过蒙特卡洛模拟的偏差和均方误差进行比较。从仿真结果中提出了一些建议,并给出了一个数值示例来说明此处开发的所有估算方法。

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