Homework Help is Here – Start Your Trial Now!
Math
Statistics
k=1 The sample variance is an unbiased estimator of o2. The sample standard deviation is defined as S = √S², and is commonly used as an estimator for o. Nevertheless, S is a biased estimator of σ.

k=1 The sample variance is an unbiased estimator of o2. The sample standard deviation is defined as S = √S², and is commonly used as an estimator for o. Nevertheless, S is a biased estimator of σ.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
Question
i need the answer quickly
Let X₁, X2, X3, ..., Xn be a random sample with mean EX₁ = μ<∞, and variance 0 < Var (X₂) = o² <oo. The sample variance of this random sample is defined as n n 1 S² 1 (X-X) ²: (x² Σx - nx 1-nt² n-1 n-1 k=1 The sample variance is an unbiased estimator of o2. The sample standard deviation is defined as S = √S², and is commonly used as an estimator for o. Nevertheless, S is a biased estimator of σ.
Transcribed Image Text:Let X₁, X2, X3, ..., Xn be a random sample with mean EX₁ = μ<∞, and variance 0 < Var (X₂) = o² <oo. The sample variance of this random sample is defined as n n 1 S² 1 (X-X) ²: (x² Σx - nx 1-nt² n-1 n-1 k=1 The sample variance is an unbiased estimator of o2. The sample standard deviation is defined as S = √S², and is commonly used as an estimator for o. Nevertheless, S is a biased estimator of σ.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman
SEE MORE TEXTBOOKS