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方差未知时两总体均值的比较 被引量:2

Comparison of Two Population Means with Unknown Variances
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摘要 给出了方差未知时两总体均值比较的近似方法(Welch-Satterthwaite方法),Bayes方法和一个Monte Carlo模拟算法,并用一个算例进行了比较. Three methods were given for comparison the two population means with unknown variances, such as Welch-Satterthwaite method, Bayes method and a simulation method. An example shown that the simulation method was feasible.
作者 汪四水
出处 《大学数学》 2009年第2期185-189,共5页 College Mathematics
关键词 Welch—Satterthwaite方法 BAYES方法 MONTE CARLO模拟 Welch Satterthwaite method Bayes method Monte Caro simulation
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参考文献5

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同被引文献11

  • 1高峰,郭云.正态总体均值的F检验法[J].淮阴工学院学报,2005,14(5):6-7. 被引量:5
  • 2Behrens W V.Ein Beitrag Zur Fehlerberechnung Bei Wenigen Beobachtungen[J].Landwirischaftliche Jahrburcher,1929,LⅩⅤⅢ:807-837.
  • 3Scheffé H.A Note on the Behrens-Fisher Problem[J].The Annals of Mathematical Statistics,1944,15(4):430-432.
  • 4Welch B L.The Significance of the Difference between Two Means When the Population Variances Are Unequal[J].Biometrika,1938,29(3/4):350-362.
  • 5Welch B L.Appendix to A.A.Aspin's Tables[J].Biometrika,1949,36(3/4):293-296.
  • 6Yuen K K.The Two-Sample Trimmed t for Unequal Population Variances[J].Biometrika,1974,61(1):165-170.
  • 7Hoeffding W.A Class of Statistics with Asymptotically Normal Distribution[J].The Annals of Mathematical Statistics,1948,19(3):293-325.
  • 8陈希孺.高等数理统计[M].合肥:中国科学技术大学出版社,1999.
  • 9邓集贤,杨维权,司徒荣,等.概率论及数理统计[M].北京:人民教育出版社,1980:123-129.
  • 10宋立新,赵志文,陈鲲.两总体分布均值相等的U统计量检验法[J].吉林大学学报(理学版),2010,48(6):957-960. 被引量:9

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