If 2n + 1 random observations are drawn from a continuous and symmetric pdf with mean
Question:
If 2n + 1 random observations are drawn from a continuous and symmetric pdf with mean μ and if fY(μ; μ) = 0, then the sample median, Yʹn+1, is unbiased for μ, and Var(Yʹn+1) = 1/(8[fY(μ; μ)]2n) Show that ˆμn = Yʹn+1 is consistent for μ.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 63% (11 reviews)
Because the symmetry of the p...View the full answer
Answered By
Amar Kumar Behera
I am an expert in science and technology. I provide dedicated guidance and help in understanding key concepts in various fields such as mechanical engineering, industrial engineering, electronics, computer science, physics and maths. I will help you clarify your doubts and explain ideas and concepts that are otherwise difficult to follow. I also provide proof reading services. I hold a number of degrees in engineering from top 10 universities of the US and Europe.
My experience spans 20 years in academia and industry. I have worked for top blue chip companies.
5.00+
1+ Reviews
10+ Question Solved
Related Book For
Introduction To Mathematical Statistics And Its Applications
ISBN: 9780321693945
5th Edition
Authors: Richard J. Larsen, Morris L. Marx
Question Posted:
Students also viewed these Statistics questions
-
Suppose that fY (y) is a continuous and symmetric pdf, where symmetry is the property that fY (y) = fY (y) for all y. Show that P (a Y a) =2FY (a) 1.
-
The following 20 observations are drawn from a censored normal distribution: The applicable model is y*i = + i, y + i = y*i if + i > 0, 0 otherwise, i ~ N [0, 2]. Exercises 1 through 4 in this...
-
Data with 250 observations are drawn from a bell-shaped distribution with a mean of 50 and a standard deviation of 12. Approximately how many observations are more than 74?
-
XYZ Co. It is currently trading at $5 per share and has announced a $0.50 per share dividend payable next year. Using historical information, one analyst estimates XYZ Co.'s dividend growth rate is...
-
Draw a dot plot of the televisions per household data from Problem 33. I 3-32-1 5 0 13-3 3 1-12-1 3 1-3 1-2 24-22 42-22-2 1 2-2 3-2
-
The following sample data represent the number of late and on time flights for Delta, United, and US Airways (Bureau of Transportation Statistics, March 2012). a. Formulate the hypotheses for a test...
-
Kelly Berryman Inc. reported 2000 earnings per share of \($3.26\) and had no extraordinary items. In 2001 earnings per share on income before extraordinary items was \($2.99\). and earnings per share...
-
Evaluate the market timing and security selection abilities of four managers whose performances are plotted in the accompanyingdiagrams. P-rf M If Mf -r, Mf M-rf
-
Problem 1 On January 1, 2021, Hooman Inc. leased equipment with a useful life of 8 years form Farhad Corp. for a six-year period. Equipment costs Farhad Inc. $150,000 and its estimated value the end...
-
On February 1, 20a4, Mira Delamar opened a store that sells school supplies. Her main customers are the students and teachers of Happy Students School which is situated in front of her store. Mira...
-
Suppose n = Y max is to be used as an estimator for the parameter in the uniform pdf, f Y (y; ) = 1/, 0 y . Show that n is squared-error consistent
-
Suppose that X is a geometric random variable, where p X (k|) = (1) k1 , k = 1, 2, . . . . Assume that the prior distribution for is the beta pdf with parameters r and s. Find the posterior...
-
Amy Monroe wants to create a fund today that will enable her to withdraw $25,000 per year for 8 years, with the first withdrawal to take place 5 years from today. If the fund earns 8% interest, how...
-
Preparing a schedule of cost of goods manufactured and an income statement for a manufacturing company Chewy Bones manufactures its own brand of pet chew bones. At the end of December 2024, the...
-
Activity 1. Suppose that you have a rectangle with height h cm, base 6 cm, and the height is growing at a rate of 10 cm/s, and the base is growing at a rate of 20 cm/s. What is the rate that the...
-
Assume a company has 5 million shares of common stock outstanding and intends to issue another 1,000,000 shares through a rights offering. The rights will carry a subscription price of $80. If the...
-
Find an upper bound for [Es in estimating O 5 (8x5-2x) dx with n = 10 steps.
-
In the fifth grade at Lenape Elementary School, there are 41 as many girls as there are boys. 7 There are 66 students in the fifth grade. How many students are girls? >> Solve on paper. Then check...
-
Cutin, lignin, and chlorophyll are not proteins. How is it possible for genes to control the synthesis of these polymers?
-
You've been asked to take over leadership of a group of paralegals that once had a reputation for being a tight-knit, supportive team, but you quickly figure out that this team is in danger of...
-
A sample preparation for a chemical measurement is completed correctly by 25% of the lab technicians, completed with a minor error by 70%, and completed with a major error by 5%. (a) If a technician...
-
A credit card contains 16 digits between 0 and 9. However, only 100 million numbers are valid. If a number is entered randomly, what is the probability that it is a valid number?
-
Suppose your vehicle is licensed in a state that issues license plates that consist of three digits (between 0 and 9) followed by three letters (between A and Z). If a license number is selected...
-
The records of Hoffman Company reflected the following balances in the stockholders equity accounts at December 31, 2018: Common stock, par $12 per share, 40,000 shares outstanding. Preferred stock,...
-
Problem 9-12 Direct Materials and Direct Labor Budgets [LO4, LO5] The production department of Prison Company has submitted the following forecast of units to be produced by quarter for the upcoming...
-
Exercise 10-6 (Algo) Contrasting Return on Investment (ROI) and Residual Income [LO10-1, LO10-2] Meiji Isetan Corporation of Japan has two regional divisions with headquarters in Osaka and Yokohama....
Study smarter with the SolutionInn App