单项选择题
设40张同类保单,用X i 表示第i 张保单的索赔次数,并设X i ~P (λ),i=1,2,…,40。又设参数λ为随机变量,且服从均值为0.6,方差为0.02的Gamma(α,β)分布,分布密度为
并且已知观察到 40 张保单共有 18 次索赔, 则在平方损失函数下 λ 的贝叶斯估计为() 。
A.0.5241B.0.5133C.0.6D.0.5134E.0.5243
A.0.539,0.341,0.120B.0.439,0.441,0.120C.0.541,0.339,0.120D.0.341,0.539,0.120E.0.539,0.120,0.341
A.8.5B.9.0C.9.5D.10.0E.10.5
A.156B.206C.256D.306E.356
A.1954.46,566.79B.1875.26,476.79C.1875.26,566.79D.1954.46,476.79E.1954.46,376.25
A.7B.8C.9D.10E.11
A.0.1557B.0.3595C.0.3679D.0.5883E.0.6128
A.0.0265B.0.0356C.0.0577D.0.0596E.0.0968
A.0.4243B.0.2644C.0.1923D.0.0423E.0.0323
A.1,2,0,1,0B.2,1,0,1,0C.1,2,1,0,0D.3,2,2,1,1E.2,1,1,0,0
A.∑Xi =1,n=2B.∑X i =1,n=4C.∑X i =0,n=2D.∑X i =0,n=4E.∑X i =0,n=6