Question

Y is a random variable with pdf f(y;theta) = ((1- y) ^ theta ) * (theta...

Y is a random variable with pdf

f(y;theta) = ((1- y) ^ theta ) * (theta + 1) 0 < y < 0, theta > 0

Find sufficient statistic and UMVUE for theta given

E(ln(1 - y)) = - 1/theta + 1

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
Y is a random variable pdf h(y) = (1/(y+ theta)^3) * 2 * theta^2 y >0,...
Y is a random variable pdf h(y) = (1/(y+ theta)^3) * 2 * theta^2 y >0, theta >0 Using a single observation, test H_0 : Theta = 1 H_a : theta > 1 Find a uniformly most power critical region for test if alpha = .05 Then find the power of test if theta = 2.5
Given random variable Y, E(Y) = theta Var(Y) = (theta^2)/50 theta hat = bY where b<...
Given random variable Y, E(Y) = theta Var(Y) = (theta^2)/50 theta hat = bY where b< 1 MSE(theta hat) = (11 * theta^2)/512 Find b
Suppose a random sample of size n is drawn from the pdf f(sub)Y(y;θ) =1/θ, 0 ≤...
Suppose a random sample of size n is drawn from the pdf f(sub)Y(y;θ) =1/θ, 0 ≤ y ≤ θ. Find a sufficient statistic for θ.
1. Let (X,Y ) be a pair of random variables with joint pdf given by f(x,y)...
1. Let (X,Y ) be a pair of random variables with joint pdf given by f(x,y) = 1(0 < x < 1,0 < y < 1). (a) Find P(X + Y ≤ 1). (b) Find P(|X −Y|≤ 1/2). (c) Find the joint cdf F(x,y) of (X,Y ) for all (x,y) ∈R×R. (d) Find the marginal pdf fX of X. (e) Find the marginal pdf fY of Y . (f) Find the conditional pdf f(x|y) of X|Y = y for 0...
Suppose the random variable (X, Y ) has a joint pdf for the form ?cxy 0≤x≤1,0≤y≤1...
Suppose the random variable (X, Y ) has a joint pdf for the form ?cxy 0≤x≤1,0≤y≤1 f(x,y) = . 0 elsewhere (a) (5 pts) Find c so that f is a valid distribution. (b) (6 pts) Find the marginal distribution, g(x) for X and the marginal distribution for Y , h(y). (c) (6 pts) Find P (X > Y ). (d) (6 pts) Find the pdf of X +Y. (e) (6 pts) Find P (Y < 1/2|X > 1/2). (f)...
Let X and Y be continuous random variable with joint pdf f(x,y) = y/144 if 0...
Let X and Y be continuous random variable with joint pdf f(x,y) = y/144 if 0 < 4x < y < 12 and 0 otherwise Find Cov (X,Y).
Let ? be a random variable with a PDF ?(?)= 1/(x+1) for ? ∈ (0, ?...
Let ? be a random variable with a PDF ?(?)= 1/(x+1) for ? ∈ (0, ? − 1). Answer the following questions (a) Find the CDF (b) Show that a random variable ? = ln(? + 1) has uniform ?(0,1) distribution. Hint: calculate the CDF of ?
4. Let X1. ..., Xn, be a random sample from Exponential(β) with pdf f(x) = 1/β(e^(-x/β))...
4. Let X1. ..., Xn, be a random sample from Exponential(β) with pdf f(x) = 1/β(e^(-x/β)) I(0, ∞)(x), B > 0 where β is an unknown parameter. Find the UMVUE of β2.
Let X1. ..., Xn, be a random sample from Exponential(β) with pdf f(x) = 1/β(e^(-x/β)) I(0,...
Let X1. ..., Xn, be a random sample from Exponential(β) with pdf f(x) = 1/β(e^(-x/β)) I(0, ∞)(x), B > 0 where β is an unknown parameter. Find the UMVUE of β^2.
Suppose that Y1, . . . , Yn are iid random variables from the pdf f(y...
Suppose that Y1, . . . , Yn are iid random variables from the pdf f(y | θ) = 6y^5/(θ^6) I(0 ≤ y ≤ θ). (a) Prove that Y(n) = max (Y1, . . . , Yn) is sufficient for θ. (b) Find the MLE of θ
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT