Question

Suppose that the prior distribution of some parameter θ is Gamma distribution for which the mean...

Suppose that the prior distribution of some parameter θ is Gamma distribution for which the mean is 10 and the variance is 5. Determine parameters of prior distribution of θ

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Let X1,...,Xn∼iid Gamma(3,1/θ) and we assume the prior for θ is InvGamma(10,2). (a) Find the posterior...
Let X1,...,Xn∼iid Gamma(3,1/θ) and we assume the prior for θ is InvGamma(10,2). (a) Find the posterior distribution for θ. (b) If n= 10 and   ̄x= 18.2, find the Bayes estimate under squared error loss. (c) The variance of the data distribution is φ= 3θ2. Find the Bayes estimator (under squared error loss) for φ.Let X1,...,Xn∼iid Gamma(3,1/θ) and we assume the prior for θ is InvGamma(10,2). (a) Find the posterior distribution for θ. (b) If n= 10 and   ̄x= 18.2, find...
STAT 120 Suppose that X have a gamma distribution with parameters a = 2 and θ=...
STAT 120 Suppose that X have a gamma distribution with parameters a = 2 and θ= 3, and suppose that the conditional distribution of Y given X=x, is uniform between 0 and x. (1) Find E(Y) and Var(Y). (2) Find the Moment Generating Function (MGF) of Y. What is the distribution of Y?
Consider Poisson distribution f(x|θ) = (e^−θ) [(θ^x) / (x!)] for x = 0, 1, 2, ....
Consider Poisson distribution f(x|θ) = (e^−θ) [(θ^x) / (x!)] for x = 0, 1, 2, . . . Let the prior distribution for θ be f(θ) = e^−θ for θ > 0. (a) Show that the posterior distribution is a Gamma distribution. With what parameters? (b) Find the Bayes’ estimator for θ.
suppose y has a normal distribution with mean = 0 and variance = 1/theta. assume the...
suppose y has a normal distribution with mean = 0 and variance = 1/theta. assume the prior distribution for theta is a gamma distribution with parameters r and lambda. a) what is the posterior distribution for theta? b) find the squared error loss Bayes estimate for theta
Question: (Bayesian) Suppose X1,X2,...,,Xn are iid Binomial(3,θ), and the prior distribution of θ is Uniform[0,1]. (a)...
Question: (Bayesian) Suppose X1,X2,...,,Xn are iid Binomial(3,θ), and the prior distribution of θ is Uniform[0,1]. (a) What is the posterior distribution of θ|X1....,Xn? (b) What is the Bayesian estimator of θ for mean square loss?
Suppose that the number of defects in a 1200-foot roll of magnetic recording tape has a...
Suppose that the number of defects in a 1200-foot roll of magnetic recording tape has a Poisson distribution for which the value of the mean θ is unknown and that the prior distribution of θ is the gamma distribution with parameters α = 3 and β = 1. When five rolls of this tape are selected at random and inspected, the numbers of defects found on the rolls are 2, 2, 6, 0, and 3. Determine the posterior distribution of...
Suppose data collected suggest a Bernoulli distribution with parameter θ (a special case of the binomial...
Suppose data collected suggest a Bernoulli distribution with parameter θ (a special case of the binomial distribution). a) Use the method of moments to obtain an estimator of θ. b) Obtain the maximum likelihood estimator (MLE) of θ.
Show graphs in minitab! Probability distribution plot < View probability < Gamma Suppose that X has...
Show graphs in minitab! Probability distribution plot < View probability < Gamma Suppose that X has a gamma distribution with lambda = 3 and r = 6. Determine the mean and variance of X. a) P(X < 1) Numerical value = 0.2677, SHOW ON GRAPH! b) P(X > a) = 0.2 Numerical value = 0.7132, SHOW ON GRAPH!
If the random variable Yj follows a Gamma distribution, with scale parameter eand shape parameter 0,...
If the random variable Yj follows a Gamma distribution, with scale parameter eand shape parameter 0, whats is its has a p.d.f
Let we have a sample of 100 numbers from exponential distribution with parameter θ f(x, θ)...
Let we have a sample of 100 numbers from exponential distribution with parameter θ f(x, θ) = θ e- θx      , 0 < x. Find MLE of parameter θ. Is it unbiased estimator? Find unbiased estimator of parameter θ.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT