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6.10 (難) 十分統計量3,推定量の評価3

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方針

(2)について.順序統計量が関係するので,X_(1),...,X_(n)の同時分布を導出し,UやTに変数変換する.
Tの分布を求めるときに確率密度関数を出したくなってしまうが,Tの構成要素である確率変数らは定義域が違うためうまくいかない.そこで積率母関数によって分布を求める.

答案

6. 2周目-21.jpg
6. 2周目-22.jpg
6. 2周目-23.jpg
6. 2周目-24.jpg
6. 2周目-25.jpg

参考文献

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