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Hocine Fellag (2001)
Discussiones Mathematicae Probability and Statistics
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The one sided unit root test of a first-order autoregressive model in the presence of an additive outlier is considered. In this paper, we present a formula to compute the size and the power of the test when an AO (additive outlier) occurs at a time k. A small sample case is considered only.
Lynda Atil, Hocine Fellag, Karima Nouali (2006)
Discussiones Mathematicae Probability and Statistics
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The two sided unit root test of a first-order autoregressive model in the presence of an innovation outlier is considered. In this paper, we present three tests; two are usual and one is new. We give formulas computing the size and the power of the three tests when an innovation outlier (IO) occurs at a specified time, say k. Using a comparative study, we show that the new statistic performs better under contamination. A Small sample case is considered only.
Cook, Steven (2002)
Journal of Applied Mathematics
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Andrzej Kornacki, Andrzej Bochniak, Agnieszka Kubik-Komar (2017)
Biometrical Letters
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This paper discusses the problem of determining the number of observations necessary to apply the nonparametric Mann-Whitney test. We describe the method given by Noether (1987) for determining a sample size which guarantees that the Mann-Whitney test at a given significance level α has a predetermined power 1-β. The presented theory is tested by calculating the empirical power in computer simulations. The paper also raises the issue of the method of rounding the determined sample size...
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.
Dominique Guegan (1990)
Statistique et analyse des données
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Aneta Andrášiková, Eva Fišerová (2020)
Applications of Mathematics
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Survival analysis is applied in a wide range of sectors (medicine, economy, etc.), and its main idea is based on evaluating the time until the occurrence of an event of interest. The effect of some particular covariates on survival time is usually described by the Cox proportional hazards model and the statistical significance of the impact of covariates is verified by the likelihood ratio test, the Wald test, or the score test. In addition to standard tests, appropriate higher-order...
W. Zieliński (1991)
Applicationes Mathematicae
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Gilles Fay, Anne Philippe (2010)
ESAIM: Probability and Statistics
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In this paper, we make use of the information measure introduced by Mokkadem (1997) for building a goodness-of-fit test for long-range dependent processes. Our test statistic is performed in the frequency domain and writes as a non linear functional of the normalized periodogram. We establish the asymptotic distribution of our statistic under the null hypothesis. Under specific alternative hypotheses, we prove that the power converges to one. The performance of our test procedure is illustrated...
Carolan, Anthony M., Rayner, J.C.W. (2001)
Journal of Applied Mathematics and Decision Sciences
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Marek Omelka (2005)
Kybernetika
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The locally most powerful (LMP) tests of the hypothesis against one-sided as well as two-sided alternatives are compared with several competitive tests, as the likelihood ratio tests, the Wald-type tests and the Rao score tests, for several distribution shapes and for location, shape and vector parameters. A simulation study confirms the importance of the condition of local unbiasedness of the test, and shows that the LMP test can sometimes dominate the other tests only in a very restricted...
R. Pincus (1980)
Banach Center Publications
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