If X 1 , X 2 , , X n constitute a random sample from a normal population with 0, show that Is an unbiased estimator of 2 3D1...

If X 1 , X 2 , . . . , X n constitute a random sample

Question:

If X₁, X₂, . . . , X_n constitute a random sample from a normal population with µ = 0, show that

Is an unbiased estimator of σ².

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

John E Freunds Mathematical Statistics With Applications

ISBN: 9780134995373

8th Edition

Authors: Irwin Miller, Marylees Miller

See More Books

Question Posted: Nov 04, 2015 03:31 AM

See More Questions

With reference to Example 10.4, find an unbiased estimator of based on the smallest sample value (that is, on the first order statistic, Y1). Example 10.4 If X1, X2, . . . , Xn constitute a random...
With reference to Example 10.3, find an unbiased estimator of d based on the smallest sample value (that is, on the first order statistic, Y 1 ). Example 10.3 If X 1 , X 2 , . . . , X n constitute a...
Use the corollary of Theorem 4.15 on page 136 to show that if X1, X2, . . . , Xn constitute a random sample from an infinite population, then cov(Xr , ) = 0 for r = 1, 2, . . . , n. Theorem 4.15 If...
4. Papo and Pepe are two barbers from a small barbershop. Theyhave their two court chairs plus two waiting chairs. The followingresults were found: P0 = 1/16 P1 = 4/16 P2 = 6/16 P3 = 4/16 a. What is...
A social worker is involved in a study about family structure. She obtains information regarding the number of children per family in a certain community from the census data. Identify the random...
3. Michelle received $6,600 in OAS pension income in 2018. Her total income for 2018 was $94,000. For 2018, the minimum income threshold is $75,910. a. What is her monthly OAS clawback? SHOW YOUR...
On March 1, 2008, Eckert and Kelley formed a partnership. Eckert contributed $82,500 cash and Kelley contributed land valued at $60,000 and a building valued at $100,000. The partnership also assumed...
A large St. Louis feed mill, Robert Orwig Processing, prepares its 6- month aggregate plan by forecasting demand for 50- pound bags of cattle feed as follows: January, 1,000 bags; February, 1,200;...
By filing an) petition under Chapter 7. creditors can attempt to force into bankruptcy a debtor who is not paying debts as they become due. Multiple Choice voluntary Involuntary declaratory...
What is the solution of the recursive equation T (n) = 0.015625T +n?? (1/4) a) O(n') b) O(n' lg n) c) O(n* Ign) d) O(7*)
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...
If X is a random variable having the binomial distribution with the parameters n and , show that n X/n (1 X/n) is a biased estimator of the variance of X.
On January 1, the company had 200,000 common shares outstanding. On April 1, the company issued 60,000 additional shares. On August 1, the company reacquired 100,000 shares. What was the...
?In civil engineering, what is the main use of a slump test in concrete technology?
Briefly explain what spatial autocorrelation means and what method can be used to measure it
Discuss the theoretical implications of adopting biodegradable materials in civil engineering for reducing environmental impact and enhancing sustainability.
Analyze the role of civil engineering in coastal erosion management. What are the engineering strategies for shoreline protection, beach nourishment, and coastal infrastructure design to mitigate...
Analyze the impact of climate change on civil engineering practices, particularly in the areas of coastal and floodplain management, and discuss strategies for mitigating these impacts
Consider any project you have been involved in. Which of the control tools would you use? Why?
You are the newly appointed tax practitioner to complete Emilys tax return and have downloaded the prefill report for Emilys tax return (hint, you can read what a prefill report is here (Links to an...
Goodwill impairment loss for 2016, following IFRS, is a. $$600,000 $ b. $$2,200,000$ c. $$5,600,000 $ d. $$6,000,000 $ A company reports the following intangibles at December 31, 2016,...
Suppose the events B1, B2, and B3 are mutually exclusive and complementary events such that P(B1) = .2, P(B2) = .15, and P(B3) = .65. Consider another event A such that P(A | B1) = .4, P(A | B2) =...
In Molecular Systems Biology (Vol. 3, 2007), geneticists at the University of Naples (Italy) used reverse engineering to identify genes. They calculated P(G | D), where D is a gene expression data...
Refer to the U.S. Army Corps of Engineers study on the DDT contamination of fish in the Tennessee River (in Alabama), presented in Example. Part of the investigation focused on how far upstream the...
! Required information [ The following information applies to the questions displayed below. ] Year 1 total cash dividends Year 2 total cash dividends Year 3 total cash dividends Year 4 total cash...
Built-Tight is preparing its master budget for the quarter ended September 30, 2015. Budgeted sales and cash payments for product costs for the quarter follow: July August September Budgeted sales $...
inepired. 2. Suppliei on hard at the eind of the month tedaled $16800. 2 The balance in Prepaid Rent represucks 4 months of rent coves. 5. Desreciationet bullines is $5060 per vear

If X 1 , X 2 , . . . , X n constitute a random sample

Question:

%3D1

Step by Step Answer:

h ...View the full answer

John E Freunds Mathematical Statistics With Applications

Students also viewed these Statistics questions