
A First Course in Probability (10th Edition)
10th Edition
ISBN: 9780134753119
Author: Sheldon Ross
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Question
Answer all parts otherwise skip

Transcribed Image Text:4. The continuous random variable X has a lognormal distribution if the random variable Y = ln(X)
has a normal distribution with mean and variance o². Let X₁..., X20 be a random sample from a
lognormal distribution with unknown parameters and o2. If the sample values are:
μ
(a)
(b)
5.75
5.86
5.73
5.57
5.28 5.26
5.67 5.42 6.02
5.34 5.66 6.13
5.85 5.39 5.50
5.79
6.04 6.07
What is the value of the unbiased estimate of μ?
What is the value of the maximum likelihood estimate of μ?
(c) What is the value of the unbiased estimate of o2?
(d)
What is the value of the maximum likelihood estimate of o²?
5.37
5.64
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution
Trending nowThis is a popular solution!
Step by stepSolved in 5 steps

Knowledge Booster
Similar questions
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
- A First Course in Probability (10th Edition)ProbabilityISBN:9780134753119Author:Sheldon RossPublisher:PEARSON

A First Course in Probability (10th Edition)
Probability
ISBN:9780134753119
Author:Sheldon Ross
Publisher:PEARSON
