If X 1 ,X 2 , . . . , X n is a random sample from
Question:
If X1,X2, . . . , Xn is a random sample from a distribution with pdf
show that Y = 2 ‾X is an unbiased estimator of θ and determine its efficiency.
Transcribed Image Text:
f(x; 0) =
{
303
(x+0)4
0
0
f(x; 0) =
{
303
(x+0)4
0
0
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 85% (7 reviews)
The estimator Y is unbiased for because EY E2 X 2 EX 2 The efficiency of Y ...View the full answer
Answered By
BillClinton Muguai
I have been a tutor for the past 5 years. I have experience working with students in a variety of subject areas, including computer science, math, science, English, and history. I have also worked with students of all ages, from elementary school to college. In addition to my tutoring experience, I have a degree in education from a top university. This has given me a strong foundation in child development and learning theories, which I use to inform my tutoring practices.
I am patient and adaptable, and I work to create a positive and supportive learning environment for my students. I believe that all students have the ability to succeed, and it is my job to help them find and develop their strengths. I am confident in my ability to tutor students and help them achieve their academic goals.
0.00
0 Reviews
10+ Question Solved
Related Book For
Introduction To Mathematical Statistics
ISBN: 9780321794710
7th Edition
Authors: Robert V., Joseph W. McKean, Allen T. Craig
Question Posted:
Students also viewed these Business questions
-
If X 1 ,X 2 , . . . , X n is a random sample from a distribution that has a pdf which is a regular case of the exponential class, show that the pdf of Y 1 = n 1 K(X i ) is of the form f Y 1 (y 1 ; )...
-
If X 1 ,X 2 , . . . , X n is a random sample from a distribution having pdf of the form f(x; ) = x 1 , 0 < x < 1, zero elsewhere, show that a best critical region for testing H 0 : = 1 against H 1 :...
-
Amandeep, a graduate of Cambrian Colleges Business Program, found a job as an online marketing specialist for Tangerine Bank. Within a year, he had saved {A} and decided to buy a new car but was not...
-
Jacob Corporation paid $ 536,200 for a 30% share of Gardner Enterprises on January 1 of the current year. Gardner reported net assets of $ 1,414,000 on the date of acquisition. On the date of...
-
Below are listed various costs that are found in organizations. 1. Hamburger buns in a Wendys restaurant. 2. Advertising by a dental office. 3. Apples processed and canned by Del Monte. 4. Shipping...
-
What are the treatments for a designed study with three LO4 factors, one qualitative with two levels (A and B) and one quantitative with three levels (5, 6, 7) and another quantitative with two...
-
Lydia Hartley, manager of UltraProducts New Zealand Division, is trying to set the production schedule for the last quarter of the year. The New Zealand Division had planned to sell 100,000 units...
-
Beech Corporation is a merchandising company that is preparing a master budget for the third quarter of the calendar year. The companys balance sheet as of June 30th is shown below: Beech Corporation...
-
Bristow University is a large private school located in the Midwest. The university is headed by a president who has five vice presidents reporting to him. These vice presidents are responsible for,...
-
Let X 1 ,X 2 , . . . , X n be a random sample from a N(, 2 ) distribution, where 2 is fixed but < < . (a) Show that the mle of is X. (b) If is restricted by 0 < , show that the mle of is ^ ...
-
The following data are observations of the random variable X = (1W)Y 1 + WY 2 , where W has a Bernoulli distribution with probability of success 0.70; Y 1 has a N(100, 20 2 ) distribution; Y 2 has a...
-
For the data in Exercise 1: a) Would you expect the mean age to be smaller than, bigger than, or about the same size as the median? Explain. b) Find the mean age. c) Find the median age.
-
Idenfity whether the following book - tax adjustments are permanent or temporary differences. ( a ) Federal Income Tax Expense ( b ) Depreciation Expense ( c ) Accrued Compensation ( d ) Dividends...
-
2 . ) Pozycki, LLC has reported losses of $ 1 0 0 , 0 0 0 per year since its founding in 2 0 1 6 . For 2 0 2 3 , Pozycki anticipates a profit of about $ 1 0 0 , 0 0 0 . There are 3 equal members of...
-
Elena is a single taxpayer for tax year 2023. On April 1st, 2022, Elena's husband Nathan died. On July 13, 2023, Elena sold the residence that Elena and Nathan had each owed and used as their...
-
Rodriguez Corporation issues 12,000 shares of its common stock for $56,600 cash on February 20. Prepare journal entries to record this event under each of the following separate situations. 1. The...
-
Problem 3: A large rectangular plate is loaded in such a way as to generate the unperturbed (i.e. far-field) stress field xx = Cy; yy = -C x; Oxy = 0 The plate contains a small traction-free circular...
-
If x represents an integer, then x + 1 represents the next consecutive integer. If x represents an even integer, then x + 2 represents the next consecutive even integer. If x represents an odd...
-
Do the three planes x + 2x + x 3 = 4, X X 3 = 1, and x + 3x = 0 have at least one common point of intersection? Explain.
-
Suppose X 1 , X 2 , . . . , X n is a random sample of size n drawn from a Poisson pdf where is an unknown parameter. Show that = X is unbiased for . For what type of parameter, in general, will the...
-
Let Y min be the smallest order statistic in a random sample of size n drawn from the uniform pdf, f Y (y; ) = 1/, 0 y . Find an unbiased estimator for based on Y min .
-
Let Y be the random variable described in Example 5.2.3, where fY (y, ) = e (y) , y , > 0. Show that Y min 1/n is an unbiased estimator of .
-
Consider a 5 year debt with a 15% coupon rate paid semi-annually, redeemable at Php1,000 par. The bond is selling at 90%. The flotation cost is Php50 per bind. The firm's tax bracket is 30%.
-
A project will generate annual cash flows of $237,600 for each of the next three years, and a cash flow of $274,800 during the fourth year. The initial cost of the project is $749,600. What is the...
-
You want to invest annual amounts over the next 15 years. If your goal is to have $15,000 at the end of that time and if you can earn 8 percent on your invested funds, how much do you need to invest...
Study smarter with the SolutionInn App