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SAMPLE STATISTICS

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A random sample of size n from a distribution f(x) is a set of n random variables x 1,x 2,...,x n which are independently and identically distributed with x i ∼ f(x) for all i. Thus, the joint p.d.f of the random sample is ... variate of n degrees of freedom, and if the two variates are distributed independently, then the ratio t = x

  Random, Variate

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230487 02c-063-102 18/10/09 10:16 Page 63 THE …

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A random sample x 1,x 2 ... variate are E (u)= n and V (u)=2 n respectively. Theorem. The sum of two independent chi-square variates is a chi-square variate with degrees of freedom equal to the sum of the degrees of freedom of its additive components. If x

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