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
June 23rd, 2012, 08:51 AM   #1
Joined: Jun 2012

Posts: 1
Thanks: 0

Combining 2 data sets

Sorry the title is ambiguous but I don't know what one would call these types of data sets.
The situation is effectively this: There is a 10 sided weighted die which 2 people have rolled. For one person it is impossible for them to roll 1 or 2, for another person it is impossible to roll 3 or 4 however the weights of 5-10 are constant on both dice.
I have frequency data submitted by each person, the reason behind combining them is to firstly get a better idea of the relative weights of 5-10, and secondly to see the weights of 1-4 in one set.
Shakarii is offline  
August 10th, 2012, 02:32 AM   #2
Senior Member
Joined: Aug 2012

Posts: 229
Thanks: 3

Re: Combining 2 data sets

Hey Shakarii.

You can create a random variable by taking the cartesian product of both random variables A X B Where A is the state space for 1st player and B is for 2nd player.

You then have to define your random variable as a function of the two: for example the sum of the two rolls would be X = A + B. Since both rolls are independent we know that P(A and B) = P(A)P(B) (we assume independence to make things easier). Then if we want to find moments we use expectation formulas over the two variables.

If you want the probability distribution for X = A + B (i.e. PDF of X) then you need to use what is called a Probability Generating Function. Have you come across this?
chiro is offline  

  My Math Forum > College Math Forum > Advanced Statistics

combining, data, sets

Thread Tools
Display Modes

Similar Threads
Thread Thread Starter Forum Replies Last Post
Two data sets fitting Simon39 Abstract Algebra 4 November 29th, 2013 09:41 PM
Interpolation of larga data sets godric Real Analysis 1 August 31st, 2012 05:53 AM
Math - Data Management problem involving sets and subsets. police1.police2 Algebra 1 December 16th, 2011 12:57 PM
Help on comparing differing sets of data carter22 Algebra 2 March 1st, 2010 05:49 PM
Comparing multiple data sets with different n values cboldon Advanced Statistics 2 April 7th, 2008 03:01 PM

Copyright © 2019 My Math Forum. All rights reserved.