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|Title: ||On Normal Approximation of chi-square Distribution|
|Other Titles: ||英文|
|Authors: ||Chang, Horng-Jinh;Lee, Ming-Chen|
|Keywords: ||Computer Simulation, The Central Limit Theorem, Chj-square Distribution, Normal Distribution|
|Issue Date: ||2017-11-01 02:11:50 (UTC+8)|
|Publisher: ||Tamkang University|
|Abstract: ||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.
|Relation: ||Journal of Applied Science and Engineering, Vol. 20, No. 3, pp. 283-294|
|Appears in Collections:||[管理科學學系暨研究所] 期刊論文|
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