Questions
ERMCPS5350_003_2025_3 - INTRO TO QUANTITATIVE RISK MANAGEMENT 8. Quiz for Class 8
Single choice
What's the variance of the average of n points of random variables X. All X's are independent and identically distributed. That is, what's V(), for i = 1 to n? ____________________________________________________ (reminder: )
View Explanation
Verified Answer
Please login to view
Step-by-Step Analysis
Question restatement: What's the variance of the average of n points of random variables X, where all X's are independent and identically distributed? That is, what's V(X̄) for i = 1 to n, with X̄ = (X1 + X2 + ... + Xn)/n.
Step 1: Consid......Login to view full explanationLog in for full answers
We've collected over 50,000 authentic exam questions and detailed explanations from around the globe. Log in now and get instant access to the answers!
Similar Questions
What is the variance of a mean of a set of n independent and identically distributed random variables? V(xbar) | X ~ iid
What's the variance of the average of n points of X. All X's are independent and identically distributed. That is, what's V(xbar)?
What's the variance of the average of n points of random variables X. All X's are independent and identically distributed. That is, what's V( ¯ X ), for i = 1 to n? ____________________________________________________ (reminder: )
Consider the likelihood of an i.i.d. sample from a Bernoulli population with parameter p L(x1,...,xT)= T ∏ t=1pxt(1−p)1−xt. If you estimate the parameter p using a Maximum Likelihood estimator, you obtain the point estimate ˆ p = 1 T ∑ T t=1 xt, which corresponds to the sample mean. We know that for a Bernoulli random variable the expected value and the variance are 𝔼(xt)=p, 𝕍(xt)=p(1−p). Using this information, what is the variance of the estimator 𝕍( ˆ p )?
More Practical Tools for Students Powered by AI Study Helper
Making Your Study Simpler
Join us and instantly unlock extensive past papers & exclusive solutions to get a head start on your studies!