博碩士論文 109221008 完整後設資料紀錄

DC 欄位 語言
DC.contributor數學系zh_TW
DC.creator梁佑任zh_TW
DC.creatorYou-Ren Liangen_US
dc.date.accessioned2024-1-10T07:39:07Z
dc.date.available2024-1-10T07:39:07Z
dc.date.issued2024
dc.identifier.urihttp://ir.lib.ncu.edu.tw:444/thesis/view_etd.asp?URN=109221008
dc.contributor.department數學系zh_TW
DC.description國立中央大學zh_TW
DC.descriptionNational Central Universityen_US
dc.description.abstract陳聖元(2022) 將二維常態分布N(μ_1, μ_2, σ^2, σ^2, ρ) 推廣至4 參數之2p 維常態分布並推得4 參數之最大概似估計式. 林家瑋(2023) 將二維常態分布N(μ_1, μ_2, σ^2_1, σ^2_2, ρ)推廣至5參數之2p 維常態分布並推得5 參數之漸近概似估計式. 當p = 2 時, 本文推得上述估計式之漸近常態性並據以討論漸近有效性.zh_TW
dc.description.abstractChen(2022) generalized the bivariate normal distribution N(μ_1, μ_2, σ^2, σ^2, ρ) to a 2p dimensional normal distribution and presented the maximum likelihood estimators of the parameters μ1, μ2, σ2 and ρ.Lin(2023) generalized the bivariate normal distribution N(μ_1, μ_2, σ^2_1, σ^2_2, ρ) to a 2p dimensional normal distribution and presented the asymototic likelihood equation estimators of μ_1, μ_2, σ^2_1, σ^2_2 and ρ.The purpose of this paper is to discuss the asymototic normality and asymototic efficiency of the estimators mentioned above for p = 2.en_US
DC.subject特定四維常態分布zh_TW
DC.subject漸近常態性zh_TW
DC.subject漸近有效性zh_TW
DC.subject參數估計式zh_TW
DC.title特定四維常態分布之參數估計式的漸近常態性及漸近有效性zh_TW
dc.language.isozh-TWzh-TW
DC.type博碩士論文zh_TW
DC.typethesisen_US
DC.publisherNational Central Universityen_US

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