My Math Forum  

Go Back   My Math Forum > College Math Forum > Advanced Statistics

Advanced Statistics Advanced Probability and Statistics Math Forum

LinkBack Thread Tools Display Modes
February 13th, 2013, 04:23 AM   #1
Joined: May 2012

Posts: 2
Thanks: 0

Understanding Bayesian statistics, repeated measurements and

I am getting to grips with Bayesian statistics. I understand how to calculate the maximum a posteriori probability (MAP) estimate for the mean, given the sample data and the a priori mean and standard deviation.
However, for my own understanding of Bayesain statistics, i would also like to know how to answer the following question - in a Bayesian paradigm:

The coach of the local american footbal team has a hunch that the field is less than 100 yrds.
He also has an old yardstick, which he uses to measure the field, obtaining n=3 datapoints D={101, 100.5, 101.5}
Question: After each measurement, how should he update his belief about the field length? Specifically, how to re-calculate the probability the field is less then 100 yrds after each measurement?

I know i should start with replacing the 'hunch' with a probability that the field is less than 100 yrds. Then, i assume, i should also assign some measure of uncertainty to my measurements, but i dont know how.

Example taken from this very informative video lecture, series of lectures, really:


Tralala is offline  

  My Math Forum > College Math Forum > Advanced Statistics

bayesian, measurements, repeated, statistics, understanding

Thread Tools
Display Modes

Similar Threads
Thread Thread Starter Forum Replies Last Post
Word problem (measurements) k7k58 Elementary Math 1 May 12th, 2013 11:44 PM
Bayesian Statistics Artus Advanced Statistics 0 March 28th, 2013 05:29 AM
Bayesian statistics - choosing the right parameters in model trelek2 Advanced Statistics 0 January 5th, 2013 12:22 PM
Box measurements craigelliott0727 Algebra 8 May 30th, 2012 11:57 PM
Bayesian or not Bayesian; this is my problem! Marione Advanced Statistics 0 April 24th, 2008 03:51 PM

Copyright © 2019 My Math Forum. All rights reserved.