Assume Z1, Z2, .., Z, are independent standard normal random variables. The random variable Y defined by Y =EZ i=1 is called a chi-squared random variable with n degrees of freedom. Determine the following: (a) E(Y] (b) Var(Y)

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A: Solution:         ut   x1    x2 , x3    iid ~N(u=0, α2=1)         ut  Y1 = x1 +δ x3 & y2= x2+δx3…

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Q: 2. Let X be a random variable with the Poisson distribution, parameter 2. Show that, for w = 1, 2,…

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A: Answer:

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.