Each of n specimens is to be weighed twice on the same scale. Let Xi and...

Each of n specimens is to be weighed twice on the same scale. Let Xi and Yi denote the two observed weights for the i-th specimen. Suppose Xi and Yi are independent of one another, each normally distributed with mean value µi (the true weight of specimen i) and variance σ 2 . (a) Show that the maximum likelihood estimator of σ 2 is ˆσ P 2 = (Xi−Yi) 2/(4n). [Hint: If ¯z = (z1+z2)/2, then (z1−z¯) 2+(z2−z¯) 2 = (z1 − z2) 2/2.]

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orchestra answered 1 year ago

An operator using a gauge measure collection of n randomly selected parts twice. Let Xi and...

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Let D = {xi} n i=1, where xi ∈ R, be a data set drawn independently...

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Let Xi = lunch condition on day i (rice/noodles) P(Xi+1 = rice| Xi-1 = rice, Xi...

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Let n ≥ 3. Show that if G is a graph with the same chromatic polynomial...

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For Problems 8-10, throw a die twice and let X, Y be the results (each from...

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For each positive integer, n, let P({n}) =(1/2^n) . Consider the events A = {n :...

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The same method is used for testing the same sample measured twice as for two independent...

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Let A be a diagonalizable n × n matrix and let P be an invertible n...

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