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幂律过程拟合优度检验的功效比较
引用本文:叶尔骅,白志茂,杨纪龙. 幂律过程拟合优度检验的功效比较[J]. 南京航空航天大学学报, 1999, 31(3): 2
作者姓名:叶尔骅  白志茂  杨纪龙
作者单位:南京航空航天大学理学院,南京,210016
摘    要:幂律过程常被用于描述复杂系统的可靠性增长模型和可修系统的可靠性分析。本文考虑定数截尾场合幂律过程的7种拟合优度检验统计量,在备选假设为对数幂律过程时,比较了这7种检验法的功效。大量随机模拟计算表明,当r在较宽的范围内,F检验法的功效比其余6种检验法都要高。

关 键 词:可靠性  幂律过程  拟合优度检验  检验功效

Power Comparisons of Goodness-of-Fit Tests for Power-Law Process
Ye Erhua,Bai Zhimao,Yang Jilong. Power Comparisons of Goodness-of-Fit Tests for Power-Law Process[J]. Journal of Nanjing University of Aeronautics & Astronautics, 1999, 31(3): 2
Authors:Ye Erhua  Bai Zhimao  Yang Jilong
Abstract:The power law process is often used as a model for reliability growth of complex systems or reliablity of repairable systems. In this paper, seven statistics are consi dered for a goodness of fit tests of a power law process in the case of failure truncated data. The results of a power comparison are given under the alternative hypothesis that failure data came from a log power law process. Monte Carlo simulations shows that the F statisitcs has the highest power when r is in the some wider region.
Keywords:reliability  power law process  goodness of fit test  power of test
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