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Asymptotic normality for sums along data-dependent sampling schemes
http://hdl.handle.net/10069/6887
http://hdl.handle.net/10069/6887e384d559-d1d4-43b0-b08d-36cbbf27cd0f
名前 / ファイル | ライセンス | アクション |
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KJ00004438675.pdf (420.2 kB)
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Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
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公開日 | 2007-03-13 | |||||
タイトル | ||||||
タイトル | Asymptotic normality for sums along data-dependent sampling schemes | |||||
言語 | ||||||
言語 | eng | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | asymptotic normality | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | sequential sampling plan | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | sequential interval estimation | |||||
資源タイプ | ||||||
資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||
資源タイプ | departmental bulletin paper | |||||
著者 |
Shikimi, Takuhisa
× Shikimi, Takuhisa |
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著者別名 | ||||||
姓名 | 式見, 拓仙 | |||||
その他のタイトル | ||||||
その他のタイトル | Asymptotic normality for sums along data-dependent sampling schemes | |||||
抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | Let X_<(1)>={X_<1,t^1>,t^1∈N},..., X_<(d)>={X_<d,t^d>, t^d∈N} be independent sequences of i.i.d. real-valued random variables and let S_t=S_<1,t>+…+S_<d,t^d> where t=(t^1,...,t^d) and S_<i,t^i>=Σ_<s^i>?t^i-μ_i)/σ_i), i=1,...,d. A sequential sampling plan determines the way of taking one observation from one of the processes X_<()>,...,X_<(d)>, according to the previous sampled data. We show that the random sum of observations under any sequential sampling scheme is asymptotically normal. An easy application of the normality yields the classical result of sequential interval estimation of means of two polulations. | |||||
書誌情報 |
長崎大学経済学部研究年報 巻 21, p. 29-37, 発行日 2005-03-25 |
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ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 09108602 | |||||
書誌レコードID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AN10030515 | |||||
sortkey | ||||||
P00029-P00037 | ||||||
引用 | ||||||
内容記述タイプ | Other | |||||
内容記述 | 長崎大学経済学部研究年報. vol.21, p.29-37; 2005 |