Show that no unbiased estimate of x exists observation of y

Assignment Help Basic Statistics
Reference no: EM13908821

(a) Let Y = X2 + Z, where Z is a zero-mean unit variance Gaussian rv. Show that no unbiased estimate of X exists from observation of Y. Hint. Consider any x > 0 and compare with -x.

(b) Let Y = X + Z, where Z is uniform over (-1, 1) and X is a parameter lying in (-1, 1). Show that xˆ(y) = y is an unbiased estimate of x. Find a biased estimate xˆ1(y) for which |xˆ1(y) - x| ≤ |xˆ(y) - x| for all x and y with strict inequality with positive probability for all x ∈ (-1, 1).

Reference no: EM13908821

Questions Cloud

Who are you as a walden student : The first and longest section of your essay should describe who you are today as a result of this first-term course and starting your educational journey. Specifically consider your personal plan for success at Walden. Answer these questions to de..
Use the appropriate time value of money table : A financial company that advertises on television will pay you $65,000 now for annual payments of $10,300 that you are expected to receive for a legal settlement over the next 8 years. Assume you estimate the time value of money at 9 percent. Use the..
Pak company manufactures and sells mountain bikes : PAK Company manufactures and sells mountain bikes. It normally operates eight hours a day, five days a week.
About the retirement account : Carla Lopez deposits $7980 a year into her retirement account. If these funds have an average earning of 3 percent over the 19 years until her retirement, what will be the value of her retirement account?
Show that no unbiased estimate of x exists observation of y : Let Y = X2 + Z, where Z is a zero-mean unit variance Gaussian rv. Show that no unbiased estimate of X exists from observation of Y. Hint. Consider any x > 0 and compare with -x.
Deposit at the start of his studies to be able to withdraw : Pete Morton is planning to go to graduate school in a program of study that will take 2 years. Pete wants to have $19000available each year for various school and living expenses. If he earns 7 percent on his money, how much must be deposit at the st..
Create pipe-and-filter network that will read data stream : Create a pipe-and-filter network that will read the data stream in FlightData.dat file, convert the temperature measurements from Fahrenheit to Celsius, and convert altitude from feet to meters - How would this impact the key quality attributes of ..
Discuss the rationale that underlies management''s belief : Briefly discuss the rationale that underlies management's belief.
Inflation has relatively stable over last several decades : Inflation has been relatively stable over the last several decades, averaging roughly 2.85% per year. A local business owner began manufacturing snowshoes 6 years ago, at which time her raw materials cost $23.85 per pair. Taking into account the effe..

Reviews

Write a Review

 

Basic Statistics Questions & Answers

  Random sample is selected from a normal population

A random sample is selected from a normal population. The population mean is 60 and the standard deviation is 15. after treatment the sample mean is 65. the sample size is 25.

  The pulse rates for 13 adult women were as follows

the pulse rates for 13 adult women were as follows. construct a 0.95 confidence interval for the mean pulse rate. give

  Briefly restate your research area of interesta identify at

briefly restate your research area of interesta. identify at least 2 variables for which you would utilize a

  What is the probability that the mean will be less than 153

a population of cereal boxes has a normal weight with a mean of 16 ounces and a standard deviation of 0.2 ounces. if a

  What is the probability that d spoke the truth

B reports to C's statement to A. If A asserts that B denies that C claims D is a liar, what is the probability that D spoke the truth?

  Explanation of business statistics

The table below contains the opinions of a sample of 200 people (broken down by gender) about the latest congressional plan to fund abortion clinics.

  What score would sandra need to beat

What score would Sandra need to beat 91 percent of her mathematics class? The mean score was 73, and the standard deviation was 12.

  A simple random sample of 40 salaries of ncaa football

a simple random sample of 40 salaries of ncaa football coaches as a mean of 415953 and a standard deviation of 463364.

  What is the probability of randomly selecting 1 woman with

the height of woman ages 20-29 is normally distributed with a mean of 64.4 inches. assuming the standard diviation

  Explain the factors to be considered fixed effects

Are the factors to be considered fixed effects? Does it seem reasonable that if you were to repeat the survey, you would select the same sexes and species?

  Finding least-squares regression line and its slope

Find out the least-squares regression line and interpret its slope.

  Z-score in the original population

Using z-scores, a population with mean = 37 and standard deviation = 8 is standardized so that the new mean is mean = 50 and standard deviation = 10. How does an individual's z-score in the new distribution compare with his/her z-score in the orig..

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd