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In: Statistics and Probability

Let X1, ..., Xn be a random sample of size n from an exponential ditribution with...

Let X1, ..., Xn be a random sample of size n from an exponential ditribution with parameter lambda .

Let Di=(n-i+1)[X(i)-X(i-1)] i=1,.... n , where X(0)=0 be the normalized spacings.

Using Jacobians, derive the joint distribution of D1,....., Dn.

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