Goodness-of-Fit Test The Distribution of the Kolmogorov–Smirnov, Cramer–vonMises, and Anderson–Darling Test Statistics for Exponential Populations with Estimated Parameters
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چکیده
This article presents a derivation of the distribution of the Kolmogorov–Smirnov, Cramer–von Mises, and Anderson–Darling test statistics in the case of exponential sampling when the parameters are unknown and estimated from sample data for small sample sizes via maximum likelihood.
منابع مشابه
A New Goodness-of-Fit Test for a Distribution by the Empirical Characteristic Function
Extended Abstract. Suppose n i.i.d. observations, X1, …, Xn, are available from the unknown distribution F(.), goodness-of-fit tests refer to tests such as H0 : F(x) = F0(x) against H1 : F(x) $neq$ F0(x). Some nonparametric tests such as the Kolmogorov--Smirnov test, the Cramer-Von Mises test, the Anderson-Darling test and the Watson test have been suggested by comparing empirical ...
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