Hsu's theorem in variance component models
Hilmar Drygas (1980)
Banach Center Publications
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Hilmar Drygas (1980)
Banach Center Publications
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Lubomír Kubáček (1983)
Mathematica Slovaca
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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...
Emil Spiøtvoll (1980)
Banach Center Publications
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Leszek Klukowski (2008)
Control and Cybernetics
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Jaroslav Stuchlý (1990)
Mathematica Slovaca
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Stanisław Trybuła (2000)
Applicationes Mathematicae
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The problems of minimax mutual prediction are considered for binomial and multinomial random variables and for sums of limited random variables with unknown distribution. For the loss function being a linear combination of quadratic losses minimax mutual predictors are determined where the parameters of predictors are obtained by numerical solution of some equations.