Question

Let X have a Beta(θ, θ) distribution. Is X a complete sufficient statistics (C.S.S) for θ?...

Let X have a Beta(θ, θ) distribution. Is X a complete sufficient statistics (C.S.S) for θ? (Consider X as just one random sample from Beta(θ, θ))

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Let X ∼ Geo(?) with Θ = [0,1]. a) Show that pdf of the random variable...
Let X ∼ Geo(?) with Θ = [0,1]. a) Show that pdf of the random variable X is in the one-parameter regular exponential family of distributions. b) If X1, ... , Xn is a sample of iid Geo(?) random variables with Θ = (0, 1), determine a complete minimal sufficient statistic for ?.
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.
Let X1, . . . , Xn be a random sample from the following pdf: f(x|θ)=...
Let X1, . . . , Xn be a random sample from the following pdf: f(x|θ)= (x/θ)*e^(-x^2/2θ). x>0 (a) Find a sufficient statistic for θ.
Let X1,..., Xn be a random sample from a distribution with pdf as follows: fX(x) =...
Let X1,..., Xn be a random sample from a distribution with pdf as follows: fX(x) = e^-(x-θ) , x > θ 0 otherwise. Find the sufficient statistic for θ. Find the maximum likelihood estimator of θ. Find the MVUE of θ,θˆ Is θˆ a consistent estimator of θ?
Let X_1,…, X_n  be a random sample from the Bernoulli distribution, say P[X=1]=θ=1-P[X=0]. and Cramer Rao Lower...
Let X_1,…, X_n  be a random sample from the Bernoulli distribution, say P[X=1]=θ=1-P[X=0]. and Cramer Rao Lower Bound of θ(1-θ) =((1-2θ)^2 θ(1-θ))/n Find the UMVUE of θ(1-θ) if such exists. can you proof [part (b) ] using (Leehmann Scheffe Theorem step by step solution) to proof [∑X1-nXbar^2 ]/(n-1) is the umvue , I have the key solution below x is complete and sufficient. S^2=∑ [X1-Xbar ]^2/(n-1) is unbiased estimator of θ(1-θ) since the sample variance is an unbiased estimator of the...
Let X1,...,Xn be a random sample from Poisson(θ). Use the factorization theorem to find the sufficient...
Let X1,...,Xn be a random sample from Poisson(θ). Use the factorization theorem to find the sufficient statistic T for θ.
Let X1, . . . , Xn be a random sample from a Bernoulli(θ) distribution, θ...
Let X1, . . . , Xn be a random sample from a Bernoulli(θ) distribution, θ ∈ [0, 1]. Find the MLE of the odds ratio, defined by θ/(1 − θ) and derive its asymptotic distribution.
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.
Let θ > 1 and let X1, X2, ..., Xn be a random sample from the...
Let θ > 1 and let X1, X2, ..., Xn be a random sample from the distribution with probability density function f(x; θ) = 1/xlnθ , 1 < x < θ. c) Let Zn = nlnY1. Find the limiting distribution of Zn. d) Let Wn = nln( θ/Yn ). Find the limiting distribution of Wn.
Suppose X is a single observation from a Beta(θ, 1) distribution, and consider the hypotheses H0...
Suppose X is a single observation from a Beta(θ, 1) distribution, and consider the hypotheses H0 : θ ≥ 2 vs H1 : θ < 2. (a) Consider the test with rejection region R = {X < c}. Derive the power function of this test (as a function of θ and c). (b) Find the value of c so that the test has size α = 0.01. (c) Find the probability of a Type II error when θ = 1....
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT