Verification of the hypotheses on the equality of densities of distributions

We construct new criteria for the verification of the hypotheses that $p \geq 2$ independent samplings have identical densities of distributions (homogeneity hypothesis) or identically defined densities of distributions (compatibility hypothesis). We determine the ultimate powers of the constructed...

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Datum:2016
Hauptverfasser: Babilua, P., Nadaraya, E., Sokhadze, G. A., Бабилуа, П. К., Надарая, Э. А., Сохадзе, Г. А.
Format: Artikel
Sprache:Russisch
Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2016
Online Zugang:https://umj.imath.kiev.ua/index.php/umj/article/view/1863
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Назва журналу:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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Zusammenfassung:We construct new criteria for the verification of the hypotheses that $p \geq 2$ independent samplings have identical densities of distributions (homogeneity hypothesis) or identically defined densities of distributions (compatibility hypothesis). We determine the ultimate powers of the constructed criteria for some local “close” alternatives.