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Competitive Stats
Q3Section I (Objective (Q1–Q80))3 of 79

Distribution Theory — expectation of reciprocal sample variance

If

r=12Γ(n−32)Γ(n−12);n>3r = \frac{1}{2}\frac{\Gamma\left(\frac{n-3}{2}\right)}{\Gamma\left(\frac{n-1}{2}\right)}; \quad n>3

then what is the value of E(1S2)E\left(\frac{1}{S^2}\right)?

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