Let X be a random variable from a distribution with
density .
Calculate the variance of random variable
Let X be a random variable from a distribution with density . Calculate the variance of random...
STATISTICS Let a random simple sample of a random variable with density function , Calculate, for , a maximum likelihood estimator , and determine if it is a consistent estimator. Thank you for your explanations. We were unable to transcribe this imagef (x | θ) = e--(1-9) We were unable to transcribe this imageWe were unable to transcribe this image f (x | θ) = e--(1-9)
Let
be a simple random sample of a random variable X with density
function
, .
Given the statistic :
Calculate a statistic ( function of ) such that its espected
value is equal to
.
Thank you for your explanations
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Let X ~ Poisson(). Show that as , converges in distribution to a random variable Y and find the distribution of Y. We were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this image
1. Let X be a discrete random variable with a cumulative distribution function: a. Use this cdf to fin the limiting distribution of the random variable when with , as n increases. Use the fact b. What kind of random variable is for large value of n? We were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this imagep= We were unable to transcribe this imageWe were unable to transcribe this imageWe were...
Let X1,...,X10 be a random sample from N(θ1,1) distribution and let Y1,...,Y10 be an independent random sample from N(θ2,1) distribution. Let φ(X,Y ) = 1 if X < Y , −5 if X ≥ Y , and V= φ(Xi,Yj) . 1. Find v so that P[V>=v]=0.45 when 1=2. 2. Find the mean and variance of V when 1=2. 10 10 2 We were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this imageWe...
STATISTICS Let be a simple random sample of a given random variable with density function , , , Calculate a sufficient statistic for and an unbiased estimator for which is function of the previous sufficient statistic. Thank you for your explanations We were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this imageWe were unable...
Let A be a continuous random variable with probability
density function
Random variable D is given by
----------------------------------------------------------------------------------------------------------------
(a) What is the probability density function of D?
specify the domain of D.
Answer is
-
-
(b) Find E(D) and Var(D).
fa(a) = -a? 9 0<A<3 We were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this image
Let X1, . . . , Xn be a random sample from
a triangular probability distribution whose density function and
moments are:
fX(x) =
* I{0
x
b}
a. Find the mean µ of this probability
distribution.
b. Find the Method Of Moments estimator µ(hat) of µ.
c. Is µ(hat) unbiased?
d. Find the Median of this probability distribution.
I will thumbs up any portion or details of how to do this
problem, thanks!
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A probability density function f of a continuous random variable
x satisfies all of the following conditions except
a)
b)
c) For any a,b with
, P()
=
d) The mean and variance of a probability density function f are
both finite
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.........,,
random sampling of the normal distribution of the unit n, and and
ile
-1 Let the sample mean and sample variance be
respectively.
a)
b)
ile
-1 it is independent.
c)
d)
What is the proof ??
We were unable to transcribe this imagen Ν(μ, σ2) T We were unable to transcribe this imageWe were unable to transcribe this imageT We were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this imageWe were unable...