Unbiased estimator of theta

Assignment Help Basic Statistics
Reference no: EM1387848

Let m = mean

Let X ~ POI (m), and let theta = P[X = 0] = e^(-m).

a) Is theta(hat) = e^(-X) an unbiased estimator of theta?

b) Show that theta~ = u(X) is an unbiased estimator of theta, where u(0) = 1 and u(x) = 0 if x =1,2, ...

c) Compare the MSEs of theta(hat) and theta~ for estimating theta = e^(-m) when m=1 and m=2

Reference no: EM1387848

Construct confidence interval for the proportion of months

How many months had no days with 0.5 inches or more of precipitation? What proportion of months had no days with 0.5 inches or more of precipitation? Construct a 95% confide

Find shape of the distribution of sample mean

As a part of their testing program Sony tests samples of 25 batteries. What can you say about the shape of the distribution of sample mean?

Cross-tabulation describing the compressors

a. Construct a simple tabulation in which the counts are according to which company supplied the mechanical components. b. Construct a cross-tabulation describing

Mean selling price in the goodyear

A recent article in the Arizone Republic indicated that the mean sellingprice of the homes in the area is more than $220,000. Can we conclude that the mean selling price in

Explain alternatives choose to increase profits

Your fixed costs are presently $500,000 with a variable cost per unit of $25 per unit and a sales price of $43 Your options are: Increase your fixed costs by $50,000 which wil

Value of upper end of confidence interval

What is the value of the upper end of the confidence interval? (Note: Round to the nearest dollar. Be sure to enter only the number without commas, $ signs, or any other symbo

Law enforcement agencies around the world work

Access www.ftc.gov/sentinel to learn how law enforcement agencies around the world work together to fi ght consumer fraud. Each team should obtain current statistics on one

Explain how the means and standard deviations differ

Explain, to a person who has never had a course in statistics, what you have done. (c) Note the ways in which the means and standard deviations differ.


Write a Review

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