Power comparisons of the unbiased Berk-Jones test and the unbiased reversed Berk-Jones test
Power comparisons of the unbiased Berk-Jones test and the unbiased reversed Berk-Jones test
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DOI：
10.1080/03610918.2019.1571608
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发表时间：
2019-03
期刊：
影响因子：
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通讯作者：
Bunto Hanyuda;H. Murakami
中科院分区：
文献类型：
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作者：
Bunto Hanyuda;H. Murakami
通过计算连续分布函数的最小功效和置信带，证明了Berk-Jones检验和反向Berk-Jones检验是有偏的。通过使用与Frey（2009）类似的过程，将偏倚校正应用于Berk-Jones检验和反向Berk-Jones检验。为了组成无偏检验，列出了各种临界值。模拟被用来比较各种人口分布的有偏和无偏Berk-Jones和反向Berk-Jones检验的功效。数值结果表明，无偏Berk-Jones检验比无偏反向Berk-Jones检验更有效。
Abstract The Berk-Jones test and the reversed Berk-Jones test are shown to be biased by computing the exact minimum power with confidence bands for the continuous distribution function. The bias correction is applied to the Berk-Jones test and the reversed Berk-Jones test by using a similar process of Frey (2009). In order to compose the unbiased test, various critical values are listed. Simulations are used to compare the power of the biased and unbiased Berk-Jones and reversed Berk-Jones tests for various population distributions. Numerical results indicate that the unbiased Berk-Jones test is more powerful than the unbiased reversed Berk-Jones test.