Suppose that a random sample is taken from a distribution with density f(x ) 2x 2 for 0 x and f(x ) 0 otherwise Find the MLE of the median of this distribution, and show that this estimator is a minimal sufficient statistic

The Answer is in the image, click to view ...

Question: Suppose that a random sample is taken from a distribution with density f(x; ) = 2x/2 for 0 x and f(x; )=0

Suppose that a random sample is taken from a distribution with density f(x; θ) =

2x/θ2 for 0 ≤ x ≤ θ and f(x; θ)=0 otherwise. Find the MLE of the median of this distribution, and show that this estimator is a minimal sufficient statistic.

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Nonparametric Statistical Inference Questions!

12.6.8 Suppose that a random sample is taken from a distribution with density f(z;0 ) = 2z/02 for 0 5 5 5 0 and f(z;0 ) = 0 otherwise. Find the MLE of the median of this distribution, and show that...

Question 5: Suppose a random variable ) has a probability density function given by f ( x ) = 0.75x(2 -x) Ox=2 0 otherwise Find the mean of X. Question 6: The amount of water used per flush by a...

#1 STA355H1F due Wednesay, October 5, 2016 Problems to hand in: 1. Suppose that X1 , , Xn are independent Exponential random variables with density f (x; ) = exp(x) for x 0 where > 0 is an unknown...

Solve the question Consider the data in Exercise 1.5 on page 13. Compute the sample variance and the sample standard deviation for both control and treatment groups. Reference Exercise 1.5: Twenty...

need solution of these problems Consider the data in Exercise 1.5 on page 13. Compute the sample variance and the sample standard deviation for both control and treatment groups. Reference Exercise...

4. Let 6>0. Let X1, X2, ..., Xn be a random sample from the distribution with probability density function f ( x; 8) = 63 240 x2 e - Vox x>0, zero otherwise. a) (i) Obtain the maximum likelihood...

44. Component lifetimes have the exponential distribution with pdf f (x; l) lelx, x 0, and f (x; l) 0 otherwise, where l 0. However, we wish to estimate the mean m1/l based on the random sample...

please help with all parts. this is the complete info i have about the question. If the image is not visible properly please comment. Please solve all parts [ a ,by Page Cid Date Let B 20 be a...

Let X1, X2, .., An be a random sample from a distribution with probability density function In x 1 if 0 0; f (x0') = otherwise; Given: E (X) = : 2 ; and Var (1=]] -8. If f (x]o=) belongs to the...

Dengo Company makes a trail mix in two departments: Roasting and Blending Direct materials are added at the beginning of each process, and conversion costs are added evenly throughout each process....

Answer each of the following questions: a. What is found in Subpart A, 10.7 (a) of Circular 230? b. Describe the requirements of Rule 301 of the AICPA Code of Conduct. c. Which SSTS discusses the...

You feed to eitimate the value of Laputs Aviation. Woy have the following forecants [ in millons of dollani ) of its profiss and of ies fiture invertments in new plart and working choptat. \ table [...

What do you think is your strongest component of cultural intelligence? Your weakest? How would you go about shoring up your weaknesses?