[問題] 一題order statistic的問題
在Hogg, McKean, Craig那本數統的問題
we consider a random sample X1, X2,.......,Xn from a distribution with pdf
f(x;θ) = (1/θ)exp(-x/θ), 0<x<∞, zero elsewhere, where 0<θ.
possibly, in a life testing situation, however,
we only observe the first r oderstatistics Y1<Y2<......<Yr.
問題(a) Record the joint pdf of these order statistics and denote it by L(θ)
這樣的題目要怎麼解?
曾經想過用r,n的joint pdf 來生成
但好像又不對
還請大家幫忙一下
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