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.
I am not sure about what does it mean by minimum amplitude.. I have assumed that it's asking for finding confidence interval for parameter. However go through my solution..
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...
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
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)
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...
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 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
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)...
Let be a random sample from . Show that the statistics is a sufficient statistics for . 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
Let {} be a random sample from the distribution. (a) Find a sufficient statistic for when is known (b) Find a sufficient statistic for when is known 7l beta ( α , β ) 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
3. Let ,..., be independent random sample from N(), where is unknown. (i) Find a sufficient statistic of . (ii) Find the MLE of . (iii) Find a pivotal quantity and use it to construct a 100(1–)% confidence interval for . 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...