TESTS ON QUANTILES OF MIXTURE COMPONENTS' DISTRIBUTIONS

被引:0
|
作者
Mayboroda, R. E. [1 ]
Sugakova, O. V. [2 ]
机构
[1] Kiev Natl Univ, Dept Probabil Theory Stat & Actuarial Matemat, Mech & Matemat Fac, Volodimirska St 64-13, UA-01601 Kiev, Ukraine
[2] Kiev Natl Univ, Dept Math & Theoret & Radiophys, Fac Radio Phys Elect & Comp Syst, Volodimirska St 64-13, UA-01601 Kiev, Ukraine
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中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
The hypotheses testing problem is considered for hypotheses on quantiles of different components of a mixture with varying concentrations. Homogeneity of medians or interquartile ranges can be considered as the examples. Estimates for the quantiles are presented, their asymptotic normality is demonstrated. Asymptotic confidence ellipsoids and tests for linear hypotheses are constructed. Simulation results are presented.
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页码:157 / 168
页数:12
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