Neymann-Pearson type test of hypotheses about random parameters
H. P. Jagani (1974)
Matematički Vesnik
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H. P. Jagani (1974)
Matematički Vesnik
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D. Szynal (1973)
Applicationes Mathematicae
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Milan Krišťák (1971)
Aplikace matematiky
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Atmanspacher, Harald, Ehm, Werner, Scheingraber, Herbert, Wiedenmann, Gerda (2001)
Discrete Dynamics in Nature and Society
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Jaroslav Král (1971)
Aplikace matematiky
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Rahman, Mezbahur, Pearson, Larry M., Heien, Herbert C. (2006)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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Lam, Kin, Wong, May Chun Mei, Wong, Wing-Keung (2006)
Journal of Applied Mathematics and Decision Sciences
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Viktor Witkovský (2001)
Kybernetika
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A formula for evaluation of the distribution of a linear combination of independent inverted gamma random variables by one-dimensional numerical integration is presented. The formula is direct application of the inversion formula given by Gil–Pelaez [gil-pelaez]. This method is applied to computation of the generalized -values used for exact significance testing and interval estimation of the parameter of interest in the Behrens–Fisher problem and for variance components in balanced...
A.K.P.C. Swain (1983)
Trabajos de Estadística e Investigación Operativa
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The conditional test is compared with other relevant test procedures for testing parameters of Normal and Exponential populations. It is seen that under certain conditions the conditional test is more powerful than the relevant unconditional tests. An example is provided where the conditional test given the ancillary is uniformaly more powerful than the obvious unconditional test.