e"e State the CLT for independent identically distributed real RVs with mean u and variance o². Suppose that X. X,.. . are independent identically distributed random variables each uniformly distributed over the interval [0, 1]. Calculate the mean and variance of In X. Suppose that 0

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Q: 1 V(X) for i) X ~ U{1,n}, ii) X~ Geometric (p), iii) X P

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A: we have given - rt be a log return. Suppose that r0, r1 . . . are i.i.d. N(0, 0.0001). a) since ,…

Q: 63. Let the random variables X~ N(ux, o) and Y~ N(μy, o) be jointly continuous normal random…

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Q: =. Let X, Y and Z have the joint pdf x² + y? + z x2 + y? + z2 (2т) 3/2 1+ xyz exp exp where -o < x <…

A: The joint density pdf of X, Y and Z is, fx,y,z=12π32e-x2+y2+z221+xyze-x2+y2+z22 Consider,…

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Q: Let Let Y₁, Y2, Y3 be the order statistics of a random sample of size 3 from distribution having p…

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Q: A random walk (RW) {Sn}n&gt;o is a sum of id r.v.s X1, X2, •• , Xn,withP(X1 = a) = p, P(X1 = b) = 1…

A: Step 1:GivenSn​=∑1n​Xi​,n=1,2.....P(X1​=a)=p,P(X1​=b)=1−p=qStep 2:To calculate…