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This study aims to obtain tables of critical values of the modified Kolmogorov-Smirnov, Anderson-Darling and Cramér-von Mises goodness of fit tests for the flexible Weibull distribution with unknown two parameters in case of complete and type-II right censored samples. The power study of these tests will conduct for several alternative distributions. Meanwhile, the power comparisons among these modified tests, a goodness of fit test based on data transformations which have been introduced by Goldmann et al. [8] and the exact goodness of fit test with type-II right censored samples which has been suggested by Grané [9] are investigated for a number of alternative distributions. Moreover, we use real data set as an illustration example for goodness of fit tests for the flexible Weibull distribution.
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Afify et al. (2015) studied this question.
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