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Multi-sample test based on bootstrap methods for second order stochastic dominance

Yıl 2015, Cilt: 44 Sayı: 2, 503 - 512, 01.04.2015

Öz

Statistical inferences under second order stochastic dominance for two
sample case has a long and rich history. But the k(≥ 2) sample case has
not been well studied. In this article we consider k(≥ 2) sample test for
the equality of distribution functions against second order stochastic
dominance alternative. A test statistic is constructed with isotonic regression estimates of stop-loss transform functions, and the asymptotic
distribution of the proposed test is given. A bootstrap procedure is
employed to obtain the p-value of the test, and some simulation results
are presented to illustrate the proposed test method. 

Kaynakça

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Yıl 2015, Cilt: 44 Sayı: 2, 503 - 512, 01.04.2015

Öz

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Ayrıntılar

Birincil Dil İngilizce
Konular İstatistik
Bölüm İstatistik
Yazarlar

Jianling Zhang

Zhongzhan Zhang

Yayımlanma Tarihi 1 Nisan 2015
Yayımlandığı Sayı Yıl 2015 Cilt: 44 Sayı: 2

Kaynak Göster

APA Zhang, J., & Zhang, Z. (2015). Multi-sample test based on bootstrap methods for second order stochastic dominance. Hacettepe Journal of Mathematics and Statistics, 44(2), 503-512.
AMA Zhang J, Zhang Z. Multi-sample test based on bootstrap methods for second order stochastic dominance. Hacettepe Journal of Mathematics and Statistics. Nisan 2015;44(2):503-512.
Chicago Zhang, Jianling, ve Zhongzhan Zhang. “Multi-Sample Test Based on Bootstrap Methods for Second Order Stochastic Dominance”. Hacettepe Journal of Mathematics and Statistics 44, sy. 2 (Nisan 2015): 503-12.
EndNote Zhang J, Zhang Z (01 Nisan 2015) Multi-sample test based on bootstrap methods for second order stochastic dominance. Hacettepe Journal of Mathematics and Statistics 44 2 503–512.
IEEE J. Zhang ve Z. Zhang, “Multi-sample test based on bootstrap methods for second order stochastic dominance”, Hacettepe Journal of Mathematics and Statistics, c. 44, sy. 2, ss. 503–512, 2015.
ISNAD Zhang, Jianling - Zhang, Zhongzhan. “Multi-Sample Test Based on Bootstrap Methods for Second Order Stochastic Dominance”. Hacettepe Journal of Mathematics and Statistics 44/2 (Nisan 2015), 503-512.
JAMA Zhang J, Zhang Z. Multi-sample test based on bootstrap methods for second order stochastic dominance. Hacettepe Journal of Mathematics and Statistics. 2015;44:503–512.
MLA Zhang, Jianling ve Zhongzhan Zhang. “Multi-Sample Test Based on Bootstrap Methods for Second Order Stochastic Dominance”. Hacettepe Journal of Mathematics and Statistics, c. 44, sy. 2, 2015, ss. 503-12.
Vancouver Zhang J, Zhang Z. Multi-sample test based on bootstrap methods for second order stochastic dominance. Hacettepe Journal of Mathematics and Statistics. 2015;44(2):503-12.