If X1, X2, and X3 constitute a random sample of sizen = 3 from a normal population with the mean μ and thevariance σ2, find the efficiency of X1 + 2X2 + X34relative toX1 + X2 + X33as estimates of μ.

Q: Let X1, X2, ... , Xn be a random sample, normally distributed with mean μ and variance σ2 If σ2 is…

A: Given: Let X1, X2, ... , Xn be a random sample, normally distributed with mean μ and variance σ2 σ2…

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Q: If X1, X2, ... , Xn constitute a random sample of size n from an exponential population, show that X…

A: Assuming X is the sample mean of the random samples,consider the following lemma:

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Q: If X is a Poisson variable such that P(X = 2) = 9P(X = 4) +90 P(X = 6), %3D %3D %3D find the mean…

A: Both the above given questions are same I am giving Answer one of them.

Q: If X is a Poisson variable such that P(X= 2) = 9P(X = 4) + 90P(X=6), find the mean and variance of…

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A: Given information: The probability distribution function is fXx=x,    0&lt;x&lt;10,    otherwise.

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Q: (i) Let X1, X2, .., Xn ~ Gamma(a, 3) (with a > 0 and 3 > 0). Using the method of moments estimator,…

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Q: Given W = (ax + Y)² where X and Y are zero-mean random variables with variance o²x =2, and variance…

A: W=aX+Y2 σx2=2σy2=16r=-0.2 X and Y are zero mean random variables.

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A: An estimator c is said to be unbiased estimator of µ is E(c) = µ.

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Q: 2) Let G and H be two independent unbiased estimators of 0. Assume that the variance of G is two…

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Q: Let X Poisson(A) and Y = vX. Use the delta method to approximate the mean and variance of Y.

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Q: 3x (1+х) Q2. If f(x) = ; 0<x <2 denotes the pdf of a continuous random variable, find mean 14 and…

A: Mean = E(X) = ∫xf(x)dx Variance = E(X2) - E(X)2 Where ,   E(X2) = ∫x2f(x) dx

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A: Hey there! Thanks for posting the question. Since there are more than three sub-parts in your…

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Q: Let X1, X2, ... , Xn be a random sample, normally distributed with mean μ and variance σ2 If σ2 is…

A: Given: confidence level = 0.95 Margin of error E = σ4 Formula Used: n = Zα/2×σE2

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.