Max-type rank tests in the two-sample problem
P. Bajorski (1991)
Applicationes Mathematicae
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P. Bajorski (1991)
Applicationes Mathematicae
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Alfonso García-Pérez (1996)
Kybernetika
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Eugenia Stoimenova (2007)
Applications of Mathematics
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Simple rank statistics are used to test that two samples come from the same distribution. Šidák’s -test (Apl. Mat. 22 (1977), 166–175) is based on the number of observations from one sample that exceed all observations from the other sample. A similar test statistic is defined in Ann. Inst. Stat. Math. 52 (1970), 255–266. We study asymptotic behavior of the moments of both statistics.
Simos G. Meintanis (2009)
Kybernetika
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The empirical moment process is utilized to construct a family of tests for the null hypothesis that a random variable is exponentially distributed. The tests are consistent against the 'new better than used in expectation' (NBUE) class of alternatives. Consistency is shown and the limit null distribution of the test statistic is derived, while efficiency results are also provided. The finite-sample properties of the proposed procedure in comparison to more standard procedures are investigated...
Thas, O., Ottoy, J. P. (2002)
Journal of Applied Mathematics and Decision Sciences
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Christopher S. Withers, Saralees Nadarajah (2009)
ESAIM: Probability and Statistics
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Consider testing whether for a continuous cdf on = (-∞,∞) and for a random sample ,..., from . We derive expansions of the associated asymptotic power based on the Cramer-von Mises, Kolmogorov-Smirnov and Kuiper statistics. We provide numerical illustrations using a double-exponential example with a shifted alternative.
W. Zieliński (1991)
Applicationes Mathematicae
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Anita Dobek, Krzysztof Moliński, Ewa Skotarczak (2015)
Biometrical Letters
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There are several statistics for testing hypotheses concerning the independence of the distributions represented by two rows in contingency tables. The most famous are Rao′s score, the Wald and the likelihood ratio tests. A comparison of the power of these tests indicates the Wald test as the most powerful.
Carlos Tenreiro (2005)
SORT
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For the Bickel-Rosenblatt goodness-of-fit test with fixed bandwidth studied by Fan (1998) we derive its Bahadur exact slopes in a neighbourhood of a simple hypothesis f = f and we use them to get a better understanding on the role played by the smoothing parameter in the detection of departures from the null hypothesis. When f is an univariate normal distribution and we take for kernel the standard normal density function, we compute these slopes for a set of Edgeworth alternatives which...