Let X 1 ,X 2 , . . . , X n denote a random sample from
Question:
Let X1,X2, . . . , Xn denote a random sample from a normal distribution with mean zero and variance θ, 0 < θ < ∞. Show that Σn1 X2i /n is an unbiased estimator of θ and has variance 2θ2/n.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 75% (8 reviews)
Proof Let X1X2 Xn be a random sample from a normal distribution with mean 0 and ...View the full answer
Answered By
James Warinda
Hi! I’m James Otieno and I'm an experienced professional online tutor with countless hours of success in tutoring many subjects in different disciplines. Specifically, I have handled general management and general business as a tutor in Chegg, Help in Homework and Trans tutor accounts.
I believe that my experience has made me the perfect tutor for students of all ages, so I'm confident I can help you too with finding the solution to your problems. In addition, my approach is compatible with most educational methods and philosophies which means it will be easy for you to find a way in which we can work on things together. In addition, my long experience in the educational field has allowed me to develop a unique approach that is both productive and enjoyable.
I have tutored in course hero for quite some time and was among the top tutors awarded having high helpful rates and reviews. In addition, I have also been lucky enough to be nominated a finalist for the 2nd annual course hero award and the best tutor of the month in may 2022.
I will make sure that any student of yours will have an amazing time at learning with me, because I really care about helping people achieve their goals so if you don't have any worries or concerns whatsoever you should place your trust on me and let me help you get every single thing that you're looking for and more.
In my experience, I have observed that students tend to reach their potential in academics very easily when they are tutored by someone who is extremely dedicated to their academic career not just as a businessman but as a human being in general.
I have successfully tutored many students from different grades and from all sorts of backgrounds, so I'm confident I can help anyone find the solution to their problems and achieve
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
-
Let X 1 ,X 2 , . . . , X n denote a random sample from a Poisson distribution with mean , 0 < < . Let Y = n 1 Xi. Use the loss function L[, (y)] = [(y)] 2 . Let be an observed value of the random...
-
Let X 1 ,X 2 , . . . , X n denote a random sample from a Poisson distribution with parameter , 0 < < . Let Y = n 1 X i and let L[, (y)] = [ (y)] 2 . If we restrict our considerations to decision...
-
Design a plan to research and select a new or used automobile.
-
Does a firm always measure the amount of interest capitalized by multiplying the weighted- average accumulated expenditures by the firms weighted- average interest rate? Explain.
-
A tank is fitted with a manometer on the side, as shown. The liquid in the bottom of the tank and in the manometer has a specific gravity (SG) of 3.0. Th e depth of this bottom liquid is 20 cm. A 15...
-
Petitioner Salman was indicted for federal securities-fraud crimes for trading on inside information he received from a friend and relative-by-marriage, Michael Kara, who, in turn, had received the...
-
Suppose AOL Time Warner, Inc., is having a bad year in 2011, as the company has incurred a $4.9 billion net loss. The loss has pushed most of the return measures into the negative column and the...
-
A 6-month bank loan of $1,000.00 required the equal payments monthly. After three payments were made, the borrower decided to pay off the loan at the 4th month before he paid his monthly payment. The...
-
If X1, X2, . . . , Xn constitute a random sample from a population with the mean , what condition must be imposed on the constants a1, a2, . . . , an so that a1X1 + a2X2 + + anXn is an unbiased...
-
Let Y 1 < Y 2 < < Y n be the order statistics of a random sample of size n from a distribution with pdf where < 1 < and 0 < 2 < . Find the joint minimal sufficient statistics for 1 and 2 ....
-
Let Y 1 < Y 2 < Y 3 < Y 4 denote the order statistics of a random sample of size n = 4 from a distribution having pdf f(x; ) = 1/, 0 < x < , zero elsewhere, where 0 < < . Argue that the complete...
-
1. Discuss whether and in what form each of the following links is present in Omegas performance management system: a. Prerequisites performance planning b. Performance planning performance...
-
Forty-six mountains in the Adirondacks of upstate New York are known as the High Peaks with elevations near or above 4000 feet. Below is some R output from a linear regression model of Y= Time...
-
What are scruples? Describe a situation where you demonstrated scruples. What are the dangers of social media for law enforcement officers? In what ways do police departments regulate social media...
-
Determine which values of x would cause the function g(x)=(1)/(x-(-2)) to be undefined.
-
Halbert is an international student who came to study in Australia. After 2 years, he went back home for a holiday and was given 21,000 AUD by his parents as family support funds. Later on, he wired...
-
MILITARY LAW Members of the United States military are subject to a special set of laws known as the Uniform Code of Military Justice (UCMJ). There are many offenses contained the UCMJ that...
-
Designers have developed small, fast, vertical-takeoff fighter aircraft that are invisible to radar (stealth aircraft). This aircraft concept uses quickly turning jet nozzles to steer the airplane...
-
Flicker, Inc., a closely held corporation, acquired a passive activity this year. Gross income from operations of the activity was $160,000. Operating expenses, not including depreciation, were...
-
Prove that the variance of Y can also be written Var(f) n ' (x x) i=1 n n (x x)2 i=1
-
Listed below are forty ordered computergenerated observations that presumably represent a normal distribution with = 5 and = 2. Can the sample be considered random with respect to the number of...
-
The growth of federal expenditures is one of the characteristic features of the U.S. economy. The rapidity of the increases from 2000 to 2015, as shown in the table below, suggests an exponential...
-
Now consider this code snippet: int alakazam = 0; for (int i = 0; i < 8; i ++){ for (int j = 0; j < i; j ++) { alakazam += j; } } What is the output from the following code snippet? How many total...
-
Eva has an accessories shop where she only sells rings and belts. She sells rings for $30 and belts for $40. It takes 30 minutes to make ring and 1 hour to make a belt, and, since Eva is a CS tutor,...
-
3. Write a recursive C++ program that returns the English integer equivalent of a roman numeral given a method with a string argument. Use the standard Roman numeral values: M, D, C, L, X, V, and I....
Study smarter with the SolutionInn App