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On size increase for goodness of fit tests when observations are positively dependent

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    0411016 - UTIA-B 20030003 RIV DE eng J - Journal Article
    Molina, I. - Morales, D. - Pardo, L. - Vajda, Igor
    On size increase for goodness of fit tests when observations are positively dependent.
    Statistics & Decisions. Roč. 20, č. 4 (2002), s. 399-414. ISSN 0721-2631
    R&D Projects: GA ČR GA102/99/1137
    Grant - others:DGES(ES) GV99-159-1-01; BMF(ES) 2000-0800
    Institutional research plan: CEZ:AV0Z1075907
    Keywords : goodnes-of-fit disparity tests * power divergence tests * positive dependence of data
    Subject RIV: BB - Applied Statistics, Operational Research

    We investigate the effect of positive dependence (in particular, of positive correlation) between observed data on the tests of simple and composite hypotheses based on disparities between empirical and theoretical probabilities of fixed bins in the observation space. We show that the experimental as well as theoretical conclusions achieved previously for the Pearson chi squared tests remain valid in the whole class of disparity tests under consideration.
    Permanent Link: http://hdl.handle.net/11104/0131103

     
     

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