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均值未知的指数分布拟合优度检验AI 解读

Srinivasan (1970) proposed a two-sided Kolmogorov-Smirnov type test for testing the goodness of fit of exponential and normal distributions with parameters unspecified. For the exponential distribution, this test was reported to have surprisingly better power than a similar test proposed by Lilliefors (1969). We show in this paper that the critical values given by Srinivasan (1970) are too low and the power calculations are incorrect. We give the correct critical values for…

均值未知时指数分布拟合优度检验的校正AI 解读

Srinivasan (1970) proposed a two-sided Kolmogorov-Smirnov type test for testing the goodness of fit of exponential and normal distributions with parameters unspecified. For the exponential distribution, this test was reported to have surprisingly better power than a similar test proposed by Lilliefors (1969). We show in this paper that the critical values given by Srinivasan (1970) are too low and the power calculations are incorrect. We give the correct critical values for…

改进的小样本拟合优度检验AI 解读

Two statistics for testing goodness of fit for small sample sizes are provided. The first statistic, Sn, can be used to test the fit to any completely specified continuous distribution function and is more powerful than the Kolmogorov-Smirnov statistic in the cases tested. The second statistic, S*n, tests the fit to an exponential distribution with mean unknown. It is more powerful than a Kolmogorov-Smirnov type statistic suggested by Lilliefors (1969) for the cases tested.…