多維度參考區間

Abstract

我們介紹了一個非常一般性的多維度參考區間觀念。給定幾個多 維機率分配，我們提供不同型態的母體多維度參考區間。因此傳統統 計推論中的估計與檢定皆可應用於這一未知區間之預測。在設定為多 元常態分配下我們提供了詳細的估計與檢定的方法與模擬分析討 論。

A general concept of population type multivariate reference region is introduced. This provides flexible applications of multivariate referenceregion. Given one population multivariate reference region, its estimation and hypothesis testing are important topics in statistical inference for this unknown region. We present several examples of population multivariate reference regions. Given multivariate normal case techniques and criterions for estimation and hypothesis testing are presented and evaluated.