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三参数 Weibull 分布的估计与拟合检验
SUMMARY Estimation techniques are given for the three-parameter Weibull distribution, with all parameters unknown. Tables are given for the empirical distribution function statistics W 2, U 2 and A 2, for testing for the distribution.
分布刻画与拟合优度检验
Summary In this article a systematic approach to providing goodness of fit tests is discussed, for the composite goodness of fit problem of testing that the distribution F of a random sample comes from a parametric family F o. Characterization procedures are emphasized, and it is shown that, at least for the exponential case, invariant characterizations appear to be better than those which are not invariant. A general technique is developed for producing invariant…
加权卡方变量之和的分布
We consider distributions of quadratic forms of the type Qk = Σ k j = 1 cj (xj + aj )2, where the xj 's are independent and identically distributed standard normal variables, and where cj and aj are nonnegative constants. Exact significance points of Qk , for selected values of cj and all aj = 0, have been published for k = 2, 3, 4, and 5. We give significance points for k = 6, 8, and 10. We propose and assess two new approximations to Qk : (1) fitting a Pearson curve with…