On Standard Normal Approximation of t-Distribution

t 分配的標準常態近似性探討

張紘炬(Horng-Jinh Chang) ； 李明真(Ming-Chen Lee)

《嶺東學報》 41期 (2017/06) Pp. 55-74

摘要

This study uses the computer simulation on approximation of the sample means of the t-distribution to the standard normal distribution. It is to explore the minimum degree of freedom required for a t-distribution to approximate the standard normal distribution and be replaced by the standard normal distribution.

關鍵字

t-distribution ； the sample means ； standard normal distribution

並列摘要

本研究是以檢驗t 分配為準則，試圖使用電腦模擬來檢驗t 分配之樣本平均數分布近似標準常態分布所需之最小自由度及其性質，目的在探討自由度v 至少要多大，t 分配可以被接受近似標準常態分配，而以標準常態分配所取代。

並列關鍵字

t分配 ； 樣本平均數 ； 標準常態分配

參考文獻

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