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Let (Xi, P;), i = 1,...,n be independent R.V. (i.e., (Xi, P) is independent from (X;, P;), i + j, i,j = 1,...,n) such
Let (Xi, P;), i = 1,...,n be independent R.V. (i.e., (Xi, P) is independent from (X;, P;), i + j, i,j = 1,...,n) such that X;P - Bernoulli(P), i 1, ..., n, Beta(a, B). and Consider Y = E, X. i3D1 (a) Show that EXY = na/(a+ B). b) Show that VarY na/(a+ B).
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An Introduction to Measure Theoretic Probability
Authors: George G. Roussas
2nd edition
128000422, 978-0128000427
