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