5.7.2. Let Y1, 2, ..., Yn be a random sample of size n from a normal pdf having µ = 0. Show that S² = is a consistent estimator for o² = Var(Y). n Y Συ i=1
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- 2.4. Let Y,, Y2, .., Yn denote a random sample from a uniform distribution with a pdf given by f(y|e) = }0 0Let X ~N(0, e2). Find the CRLB for variances of the unbiased estimator of T(0) = 0². %3DEX7.8) Let Y be a random variable having a uniform normal distribution such that Y U(2,5) 2 Find the variance of random variable Y.Suppose that f (x) = 0.125x for 0 < x < 4 Determine the mean and the variance of X.2.4. Let Y,, Y2, .Yn denote a random sample from a uniform distribution with a pdf given by 05.4.6. Let Ymin be the smallest order statistic in a random sample of size n drawn from the uniform pdf, fy(y; 0) = 1/0, 0 ≤ y ≤0. Find an unbiased estimator for 0 based on Ymin.3.4 Solve the below problem: Let Y, and Y, have a bivariate normal distribution: 2. 1. 2. Y2-H2 exp 2no,02y1-p2 2(1-p2) {. (ज-र.) + ( ज-र) (ज-पदर) 07 (जब)} Dr= –00 < y, < ∞, -00 < y2 < ∞, Show that the marginal distribution of Y, is normal with mean µz and variance o is given by: 2, 1 f(y2) = 203 ,-00 < Y2 < ∞ 2.If 1. If for >0 the energy of a pdf is E(x)=r, find the variance. (A) 1 (B) 2 (C) 1/2 (D) Undefined (E) 0Find the characteristic function of the geometric distribution given by P(X = r) = q' p, r = 0, 1, 2, ..., ∞, p + q = 1. %3D Hence find the mean and variance.k = Question 5 Suppose the random variables X and Y have a pdf given by f (x, y) = x+y on 0 Y). prob = b. Find F (,글): ans = Question 6 ch 30 Hisense4. What are the variance and standard deviation of random variable X with the pdf given by = & ? f(x) = 0, x> 2 elsewhereLet X1, . . . , Xn be iid from Exp(β). Find the distribution of the sample maximum Y = X(n). Is this an exponential distribution? (This question was rejected this morning. I did double check and there is no missing info with this question.)SEE MORE QUESTIONSRecommended textbooks for youCalculus For The Life SciencesCalculusISBN:9780321964038Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.Publisher:Pearson Addison Wesley,
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