Question

Suppose that X follows a gamma distribution where alpha=2 but theta is unknown with the following...

Suppose that X follows a gamma distribution where alpha=2 but theta is unknown with the following observed values

50 100 200 300 1000

1) Find the sample mean of X

2) Find the MLE of theta

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 X1, … , Xn. be a random sample from gamma (2, theta), where theta is...
Let X1, … , Xn. be a random sample from gamma (2, theta), where theta is unknown. Construct a 100(1 - a)% confidence interval for theta. As a pivot r.v. consider 2 (n∑i=1) (Xi / theta)      NOTE: gamma (2, theta) = gamma (a, b), where a = 2 and b = theta.
Let X1, X2 be a sample of size 2 from the Gamma (Alpha=2, Lamba = 1/theta)...
Let X1, X2 be a sample of size 2 from the Gamma (Alpha=2, Lamba = 1/theta) distribution X1 = Gamma = x/(theta^2) e^(-x/theta) Derive the joint pdf of Y1=X1 and Y2 = X1+X2 Derive the conditional pdf of Y1 given Y2=y2. Can you name that conditional distribution? It might not have name
Let X have a gamma distribution with  and  which is unknown. Let  be a random sample from this distribution....
Let X have a gamma distribution with  and  which is unknown. Let  be a random sample from this distribution. (1.1) Find a consistent estimator for  using the method-of-moments. (1.2) Find the MLE of  denoted by . (1.3) Find the asymptotic variance of the MLE, i.e. (1.4) Find a sufficient statistic for . (1.5) Find MVUE for .
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
A) Suppose that X follows a normal distribution with a mean of 850 and a standard...
A) Suppose that X follows a normal distribution with a mean of 850 and a standard deviation of 100. Find P(X>700). B) Suppose that X follows a normal distribution with a mean of 500 and a standard deviation of 100. For what sample size would you expect a sample mean of 489 to be at the 33rd percentile?
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?
Let y1,y2,...,yn denote a random sample from a Weibull distribution with parameters m=3 and unknown alpha:...
Let y1,y2,...,yn denote a random sample from a Weibull distribution with parameters m=3 and unknown alpha: f(y)=(3/alpha)*y^2*e^(-y^3/alpha) y>0 0 otherwise Find the MLE of alpha. Check when its a maximum
The Greek Corporation (TGC) is considering whether launch the following 3 new products. Alpha Beta Gamma...
The Greek Corporation (TGC) is considering whether launch the following 3 new products. Alpha Beta Gamma Expected price and cost data for the various products are as follows. Alpha Beta Gamma Selling price $500 $350 $200 Variable Manufacturing Cost $300 $200 $120 Variable Non Manufacturing Cost $100 $50 $30 Fixed cost to manufacture all products is $90,000. The expected sales mix: for every 50 units that TGC sells, 25 units would be from selling Alpha, 15 units would be from...
Suppose that E[X]= E[Y] = mu, where mu is a fixed unknown number. We have independent...
Suppose that E[X]= E[Y] = mu, where mu is a fixed unknown number. We have independent simple random samples of size n each from the distribution of X and Y, respectively. Suppose that Var[X] = 2*Var[Y]. Consider the following estimators of mu: m1 = bar{X} m2 = bar{Y}/2 m3 = 3*bar{X}/4 + 2*bar{Y}/8 where bar{X} and bar{Y} are the sample mean of X and Y values, respectively. Which of the estimators are unbiased?
A thin dielectric ring, radius R has a charge distribution (lambda) = acos^2(theta), where (theta) is...
A thin dielectric ring, radius R has a charge distribution (lambda) = acos^2(theta), where (theta) is the usual polar angle and "a" is a constant with units of charge/length. The ring lies centered in the x-y plane. Find the total charge Q on the ring and the potential at the center of the ring. Now suppose the ring has a uniform charge density such that the total charge is still Q. Find the potential at the center of the ring...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT