An empirical likelihood ratio based goodness-of-fit test for some lifetime distributions

机译：基于经验似然比的一些寿命分布的健美测试

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摘要

In this paper, an empirical likelihood ratio based goodness-of-fit test for three important lifetime distributions is proposed. The three distributions are a generalized exponential distribution, a Weibull distribution, and a lognormal distribution. For each distribution, the proposed test statistic and three other test statistics are examined, namely the Kolmogorov-Smirnov test statistic, the Cramer-von Mises test statistic and the Anderson-Darling test statistic. Method for parameter estimation in this study is a maximum likelihood. Some investigations on type I error control and power of the test of these statistics are studied by simulation. The selected sample sizes are 10, 25, 50 and 100. The simulation studies show that the proposed test statistics with the optimal values of δ which locate below or around 0.5 can control type I error well. Power studies using several different distributional forms show that the proposed test statistics are competitive when compared with other available test statistics.

机译：在本文中，提出了一种基于基于拟合寿命分布的拟合优度测试的经验似然比。三个分布是广义指数分布，威布尔分布和逻辑正式分布。对于每个分布，审查所提出的测试统计和三个其他测试统计数据，即Kolmogorov-Smirnov测试统计数据，Cramer-von Mises测试统计和Anderson-Darling测试统计数据。本研究中参数估计的方法是最大可能性。通过模拟研究了关于I型错误控制和测试的电源的一些调查。所选的样本大小为10,25,50和100.模拟研究表明，所提出的测试统计数据与δ定位的Δ的最佳值可以控制I误差。使用几种不同的分布形式的功率研究表明，与其他可用测试统计数据相比，所提出的测试统计数据具有竞争力。

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《International Conference on Applied Statistics》|2014年||共8页
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Ratchadaporn Meksena; Supunnee Ungpansattawong;
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中图分类物理化学计量;
关键词
Empirical likelihood; Likelihood ratio; goodness-of-fit test; generalized exponential distribution; Weibull distribution; log-normal distribution;

机译：实证可能性;似然比;拟合良好测试;广义指数分布;威布尔分布;对数正态分布;

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1. An empirical likelihood ratio based goodness-of-fit test for Inverse Gaussian distributions [J] . Vexler A., Shan G., Kim S., Journal of Statistical Planning and Inference . 2011,第6期

机译：高斯逆分布的基于经验似然比的拟合优度检验
2. An efficient correction to the density-based empirical likelihood ratio goodness-of-fit test for the inverse Gaussian distribution [J] . Noughabi Hadi Alizadeh, Vexler Albert Journal of applied statistics . 2016,第13a16期

机译：高斯逆分布的基于密度的经验似然比拟合优度检验的有效校正
3. A density-based empirical likelihood ratio goodness-of-fit test for the Rayleigh distribution and power comparison [J] . Safavinejad M., Jomhoori S., Noughabi H. Alizadeh Journal of statistical computation and simulation . 2015,第16a18期

机译：基于密度的经验似然比拟合优度检验，用于瑞利分布和功效比较
4. An empirical likelihood ratio based goodness-of-fit test for some lifetime distributions [C] . Ratchadaporn Meksena, Supunnee Ungpansattawong International Conference on Applied Statistics . 2014

机译：基于经验似然比的一些寿命分布的健美测试
5. GOODNESS-OF-FIT TESTS BASED ON THE EMPIRICAL CHARACTERISTIC FUNCTION [D] . PATCH, STEVEN CURTIS. 1984

机译：基于经验特征函数的拟合度检验
6. Density-based empirical likelihood procedures for testing symmetry of data distributions and K-sample comparisons [O] . Albert Vexler, Hovig Tanajian, Alan D. Hutson -1

机译：基于密度的经验似然程序用于测试数据分布和K样本比较的对称性
7. On approximating the distributions of goodness-of-fit test statistics based on the empirical distribution function: the case of unknown parameters [O] . Capasso, Marco, Alessi, Lucia, Barigozzi, Matteo, 2009

机译：基于经验分布函数近似拟合优度检验统计量的分布：参数未知的情况

An empirical likelihood ratio based goodness-of-fit test for some lifetime distributions

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