Find the minimum variance bound for an unbiased estimator

Assignment Help Basic Statistics

Reference no: EM13933530

1. Let {X1, X2, ... , Xn} depict a set of sample random variables drawn from a N(θ , 1) population. Find a best unbiased estimator of θ 2. Does the variance of this estimator attain the Cramér-Rao lower bound?

2. Let X1, ... , Xn depict a random sample drawn from the probability density function f (x; θ) = θxθ -1,0 x 1, θ > 0. Find the minimum variance bound for an unbiased estimator of θ .

Reference no: EM13933530

Questions Cloud

Teaching and learning program for science : Prepare a 5 week teaching and learning program for Science using the 5E model. You must focus on one year group from Years 3-6 and one conceptual area of Science.

Compute the price of a zero-coupon bond : Compute the price of a zero-coupon bond (ZCB) that matures at time t=10 and that has face value 100. Compute the price of a forward contract on the same ZCB of the previous question where the forward contract matures at time t=4

A topic in developmental mobile : You will be writing one research paper, the purpose of which is to allow you to learn more about a topic in developmental mobile, ubiquitous, and pervasive information systems and allow you to exercise your skills in scientific writing.

What challenges are unique to people with disabilities : As counsellors need to be mindful of their own biases and prejudice toward individuals with a disability, develop a comparison of how the culture of disability (that is those who disabled) is similar to and different from other cultures.

Find the minimum variance bound for an unbiased estimator : Let X1, ... , Xn depict a random sample drawn from the probability density function f (x; θ) = θxθ -1,0 x 1, θ > 0. Find the minimum variance bound for an unbiased estimator of θ .

Achievements of indigenous role models : The purpose of this assignment is to study the achievements of Indigenous role models and identify their contributions to Australian society. Within this task students research the life stories of Indigenous role models and the ways in which they ..

What is the standard error of the regression : What is the R2 of the regression model? What does it mean? What is the standard error of the regression? What does it mean? Explain in the context of this problem what the numbers for the following coefficients mean: Age, Pressure, and Family

Telecommunication''s impact on business : The objective of this project is to allow you to select an area of telecommunications and evaluate its impact on a particular business. The purpose is to evaluate how a company uses telecommunications to improve its strategic or competitive advantage..

Increased by sales transaction : A company delivered $10,000 of goods to a customer that agreed to pay cash within 30 days. The goods had cost $8,000 to manufacture. Which of the following items would be increased by this sales transaction?

User Account

All Pages