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 Scope All of NCUIR 理學院    數學研究所       --博碩士論文 Tips: please add "double quotation mark" for query phrases to get precise resultsplease goto advance search for comprehansive author search Adv. Search
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 Title: 三種三維常態分布之間的最大概似比檢定;Maximum likelihood ratio tests for three trivariate normal distributions Authors: 許平Hsu, Ping Contributors: 數學系 Keywords: 常態分布;最大概似比檢定 Date: 2020-07-14 Issue Date: 2020-09-02 19:05:07 (UTC+8) Publisher: 國立中央大學 Abstract: 考慮三個三維常態分布 N(u1, E1), N(u2, E2) 及 N(u3, E3),令 (X1,...,Xn) 表一樣本, 其中 Xk = (??1k , ??2k , ??3k ), k = 1,...,n. 並且 N(u2, E2) 為 N(u1, E1) 之特例, N(u3, E3) 為N(u2, E2) 之特例. 本文討論下列三個問題之最大概似比檢定. 問題A H0 ? (X1, ... , Xn ) ~ N(u2, E2) vs H1 : (X1, ... , Xn ) ~ N(u1, E1) 問題B H0 ? (X1, ... , Xn ) ~ N(u3, E3) vs H1 : (X1, ... , Xn ) ~ N(u1, E1) 問題C H0 ? (X1, ... , Xn ) ~ N(u3, E3) vs H1 : (X1, ... , Xn ) ~ N(u2, E2); Consider three trinormal distributions N(u1, E1), N(u2, E2) and N(u3, E3). Let (X1,...,Xn ) be a sample, where Xk = (??1k , ??2k , ??3k ), k = 1,...,n. Since N(u3, E3), N(u2, E2) and N(u1, E1) are nested, it is interesting to discuss the following three generalized likelihood ratio tests. Problem A H0 ? (X1, ... , Xn ) ~ N(u2, E2) vs H1 : (X1, ... , Xn ) ~ N(u1, E1) Problem B H0 ? (X1, ... , Xn ) ~ N(u3, E3) vs H1 : (X1, ... , Xn ) ~ N(u1, E1) Problem C H0 ? (X1, ... , Xn ) ~ N(u3, E3) vs H1 : (X1, ... , Xn ) ~ N(u2, E2) Appears in Collections: [數學研究所] 博碩士論文

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