Let W be a gamma random variable with parameters (t, β), and suppose that conditional on W

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Let W be a gamma random variable with parameters (t, β), and suppose that conditional on W = w, X1, X2, . . . ,Xn are independent exponential random variables with rate w. Show that the conditional distribution of W given that X1 = x1, X2 = x2, . . . ,Xn = xn is gamma with parameters
t + n,B + E xị -1
Distribution
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...
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