| DC 欄位 |
值 |
語言 |
| DC.contributor | 數學系 | zh_TW |
| DC.creator | 許平 | zh_TW |
| DC.creator | Ping Hsu | en_US |
| dc.date.accessioned | 2020-7-14T07:39:07Z | |
| dc.date.available | 2020-7-14T07:39:07Z | |
| dc.date.issued | 2020 | |
| dc.identifier.uri | http://ir.lib.ncu.edu.tw:88/thesis/view_etd.asp?URN=106221003 | |
| dc.contributor.department | 數學系 | zh_TW |
| DC.description | 國立中央大學 | zh_TW |
| DC.description | National Central University | en_US |
| dc.description.abstract | 考慮三個三維常態分布 ?(?1, ?1), ?(?2, ?2) 及 ?(?3, ?3),令 (?1,...,??) 表一樣本, 其中 ?? = (?1? , ?2? , ?3? ), ? = 1,...,?. 並且 ?(?2, ?2) 為 ?(?1, ?1) 之特例, ?(?3, ?3) 為?(?2, ?2) 之特例. 本文討論下列三個問題之最大概似比檢定.
問題A
??????0 ∶ (?1, … , ?? ) ~ ?(?2, ?2) vs ?1 : (?1, … , ?? ) ~ ?(?1, ?1)
問題B
?0 ∶ (?1, … , ?? ) ~ ?(?3, ?3) vs ?1 : (?1, … , ?? ) ~ ?(?1, ?1)
問題C
?0 ∶ (?1, … , ?? ) ~ ?(?3, ?3) vs ?1 : (?1, … , ?? ) ~ ?(?2, ??) | zh_TW |
| dc.description.abstract | Consider three trinormal distributions ?(?1, ?1), ?(?2, ?2) and ?(?3, ?3). Let (?1,...,?? ) be a sample, where ?? = (?1? , ?2? , ?3? ), ? = 1,...,?. Since
?(?3, ?3), ?(?2, ?2) and ?(?1, ?1) are nested, it is interesting to discuss the following three generalized likelihood ratio tests.
Problem A
?0 ∶ (?1, … , ?? ) ~ ?(?2, ?2) vs ?1 : (?1, … , ?? ) ~ ?(?1, ?1)
Problem B
?0 ∶ (?1, … , ?? ) ~ ?(?3, ?3) vs ?1 : (?1, … , ?? ) ~ ?(?1, ?1)
Problem C
?0 ∶ (?1, … , ?? ) ~ ?(?3, ?3) vs ?1 : (?1, … , ?? ) ~ ?(?2, ??) | en_US |
| DC.subject | 常態分布 | zh_TW |
| DC.subject | 最大概似比檢定 | zh_TW |
| DC.title | 三種三維常態分布之間的最大概似比檢定 | zh_TW |
| dc.language.iso | zh-TW | zh-TW |
| DC.title | Maximum likelihood ratio tests for three trivariate normal distributions | en_US |
| DC.type | 博碩士論文 | zh_TW |
| DC.type | thesis | en_US |
| DC.publisher | National Central University | en_US |