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• W2755582201 abstract "First, likelihood ratio statistics for checking the hypothesis of equal variances of two-dimensional Gaussian vectors are derived both under the standard $left (sigma ^{2}_{1},sigma ^{2}_{2},varrho right)$ -parametrization and under the geometric (a,b,α)-parametrization where a 2 and b 2 are the variances of the principle components and α is an angle of rotation. Then, the likelihood ratio statistics for checking the hypothesis of equal scaling parameters of principle components of p-power exponentially distributed two-dimensional vectors are considered both under independence and under rotational or correlation type dependence. Moreover, the role semi-inner products play when establishing various likelihood equations is demonstrated. Finally, the dependent p-generalized polar method and the dependent p-generalized rejection-acceptance method for simulating star-shaped distributed vectors are presented." @default.
• W2755582201 created "2017-09-25" @default.
• W2755582201 creator A5044773418 @default.
• W2755582201 date "2017-09-20" @default.
• W2755582201 modified "2023-09-26" @default.
• W2755582201 title "Statistical reasoning in dependent p-generalized elliptically contoured distributions and beyond" @default.
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• W2755582201 doi "https://doi.org/10.1186/s40488-017-0074-3" @default.
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