7) Let X1, X2,...Xn i.i.d random sample from U(0, 0). Consider two estimators of6₁ = 2X₂ and 6₂ = (2+¹)X(n)62na) Show that both the estimators are unbiased for 0.b) Show that both the estimators are consistent for 9.

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Answered: 7) Let X₁, X2,...Xn i.i.d random sample…

MATLAB: An Introduction with Applications

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Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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3.3.24. Let X1, X2 be two independent random variables having gamma distribu- tions with parameters a₁ = 3, B₁ = 3 and a2 = 5, B2 = 1, respectively. (a) Find the mgf of Y = 2X₁ +6X2. (b) What is the distribution of Y?
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7) Let X₁, X2,...Xn i.i.d random sample from U(0, 0). Consider two estimators of 6₁ = 2X₂ and 6₂ = (2+¹)X(n) 62 a) Show that both the estimators are unbiased for 0. b) Show that both the estimators are consistent for 9.