Kniha Nonparametric Tests for Multivariate Two Sample Data Unawatuna Gunathilaka

Nonparametric Tests for Multivariate Two Sample Data

Using Projection Pursuit

Jazyk: Angličtina
Vazba: Brožovaná
Dostupnost: U nakladatele na objednávku
Odesíláme za 17-27 dnů
1 173
Construction of an asymptotically distribution free test for the hypothesis that two multivariate ra...

Informace o knize

Jazyk
Angličtina
Vazba
Kniha - Brožovaná
Vydáno
2009
Stránek
76
EAN
9783639118407
Enbook ID
06820671
Rozměry
150 x 220 x 5

Kompletní popis

Construction of an asymptotically distribution free test for the hypothesis that two multivariate random samples are identically distributed has been a topic among many statisticians for a long time. Although this problem has been solved for random samples of multivariate normal data within the parametric setting, there are not many studies in the literature for treating this problem with random samples from arbitrary unknown distributions. This book sheds a new light on this topic proposing few innovative nonparametric procedures which can be applied for any two random samples from unknown distributions. In our first approach we propose to establish a multiple direction rank statistic developed based on the projected data towards some arbitrary directions. Next we develop the test statistic in terms of this multiple direction rank statistic, which can be used to test whether the two samples have the same underlying distribution or not. Secondly, alternative approaches to a slightly different problem are explored. These alternative approaches are developed on the basis of paired comparisions.

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