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    請使用永久網址來引用或連結此文件: http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/111955

    題名: On Normal Approximation of chi-square Distribution
    其他題名: 英文
    作者: Chang, Horng-Jinh;Lee, Ming-Chen
    關鍵詞: Computer Simulation, The Central Limit Theorem, Chj-square Distribution, Normal Distribution
    日期: 2017-09-30
    上傳時間: 2017-11-01 02:11:50 (UTC+8)
    出版者: Tamkang University
    摘要: According to the central limit theorem, if X1, X2,…Xv is a random sample drawn from chi-square distribution with degree 1, then, when v tends to infinite, the distribution of the sample mean X approximate to normal distribution N (1, 2/v). Also, the distribution function of the total X1+X2+…+Xv would asymptotically
    approximate to the normal distribution N(v,2 v). Many statistics textbooks or applied statistics research accept the use of a sample size of not less 30 for the approximation . Therefore, in the present study, computer simulation was adopted to test the required sample size for the normal approximation. This information is useful for the applications of the central limit theorem.
    關聯: Journal of Applied Science and Engineering, Vol. 20, No. 3, pp. 283-294
    DOI: 10.6180/jase
    顯示於類別:[管理科學學系暨研究所] 期刊論文


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