Let X1,... ,Xn be a random sample from the inverse Gaussian distribution with pdf a. Show that
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a. Show that the statistics
are sufficient and complete.
b. For n = 2, show that has an inverse Gaussian distribution, nλ/T has a X2n-1 distribution, and they are independent.
The inverse Gaussian distribution has many applications, particularly in modeling of lifetimes.
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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