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
STATISTICS Let be a simple random sample of a given random variable with density function , ,...
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 We were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this imageに! We were unable to transcribe this imageWe were unable to transcribe this image
STATISTICS. CONFIDENCE REGIONS. Let be a simple random sample of a population with density function , , Find the confidence interval of minimum amplitude based on a sufficient statistic. Thank you for your explanations. We were unable to transcribe this imagef (x | θ) = e--(1-9) We were unable to transcribe this image f (x | θ) = e--(1-9)
STATISTICS. CONFIDENCE REGIONS. Let be a simple random sample of the density , . Find a confidence interval of 95% for the mean of the population.. 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 image
STATISTICS. REGIONS OF CONFIDENCE Let be a simple random sample (n) of the density , Find the confidence interval of 95% for the variance of the population. Thank you for your explanations. We were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this image
POINT ESTIMATION Let be a simple random sample of a population , with , and let be a known integer , . Find the MVUE ( minimum-variance unbiased estimator ) for the function of : Thank you for the explanations. X1, X2,..,X n Ber (0 E (0, 1) We were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this imaged (0) -s (1 - 0)" X1, X2,..,X n Ber (0 E (0, 1)...
POINT ESTIMATION Let be a simple random sample of a population with Poisson distribution , . Find the MVUE ( minimum-variance unbiased estimator ) for and for Thank you for your explanations X1, X2,..,X n P(0) We were unable to transcribe this imaged (0 d (0)P (X=0 X1, X2,..,X n P(0) d (0 d (0)P (X=0
STATISTICS. CONFIDENCE INTERVALS. Let be a simple randon sample of a population with distribution . Construct a credible region with probability 0.95 for the mean , if it is assumed that initial distribution for is . 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 image
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
4. Suppose that X1, X2, . . . , Xn are i.i.d. random variables with density function f(x) = 0 < x < 1, > 0 a) Find a sufficient statistic for . Is the statistic minimal sufficient? b) Find the MLE for and verify that it is a function of the statistic in a) c) Find IX() and hence give the CRLB for an unbiased estimator of . pdf means probability distribution function We were unable to transcribe this...