| On Normal Approximation of chi-square Distribution | |
|---|---|
| 學年 | 106 |
| 學期 | 1 |
| 出版（發表）日期 | 2017-09-30 |
| 作品名稱 | On Normal Approximation of chi-square Distribution |
| 作品名稱（其他語言） | 英文 |
| 著者 | Horng-Jinh Chang; Ming-Chen Lee |
| 單位 | |
| 出版者 | |
| 著錄名稱、卷期、頁數 | Journal of Applied Science and Engineering, Vol. 20, No. 3, pp. 283-294 |
| 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. |
| 關鍵字 | Computer Simulation, The Central Limit Theorem, Chj-square Distribution, Normal Distribution |
| 語言 | en |
| ISSN | 1560-6686 |
| 期刊性質 | 國內 |
| 收錄於 | EI |
| 產學合作 | |
| 通訊作者 | Horng-Jinh Chang |
| 審稿制度 | 是 |
| 國別 | TWN |
| 公開徵稿 | |
| 出版型式 | ,電子版,紙本 |
| 相關連結 |
機構典藏連結 ( http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/111955 ) |
| SDGS | 優質教育,產業創新與基礎設施 |
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