
Advanced Statistics Advanced Probability and Statistics Math Forum 
 LinkBack  Thread Tools  Display Modes 
February 10th, 2011, 03:27 PM  #1 
Senior Member Joined: Sep 2009 Posts: 115 Thanks: 0  Prior And Posterior
So I am told that an unknown quantity Y has a Galenshore(a, ) distribution if its density is given by: for Now assume that a is known. So for this density, 1.First of all I am asked to identify a class of conjugate prior densities for and then plot a few of these. 2.Now suppose Galenshore(a,) and that they are i.i.d. I am to find the posterior distribution of given using a prior from my conjugate class. 3. Then I need to determine My work so far: 1. I found a Jeffrey prior by taking the log of p(y)= Then differentiating twice with respect to I get: So then Then taking the square root of this I get So our prior is proportional to this, but this does not remind me of any distributions I know. Any help would be appreciated. To do number 2 and 3 I realize that I need to know the answer to number 1 beforehand. 
February 26th, 2011, 02:35 PM  #2 
Newbie Joined: Feb 2011 Posts: 2 Thanks: 8  Re: Prior And Posterior
This is the first of three so called ultimate collections of Mathematics (i have posted another ultimate collection for physics). The books included are compiled from the numerous fragmented torrents available on the net, each of which i have meticulously downloaded, fixed titles, organized by subject content and removed redundancies. I will be seeding this for the next three months everyday between 2am and 5am CST so be patient if you dont instantly record a substantial download speed. ================== Law Ebooks 
November 11th, 2011, 03:32 AM  #3 
Newbie Joined: Nov 2011 Posts: 1 Thanks: 0  Re: Prior And Posterior
I am with the same problem, someone can help me?

February 27th, 2013, 08:37 AM  #4 
Newbie Joined: Feb 2013 Posts: 1 Thanks: 0  Re: Prior And Posterior
did you ever get an answer to this?

February 27th, 2013, 05:36 PM  #5  
Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 14,415 Thanks: 1025  Re: Prior And Posterior Quote:
 

Tags 
posterior, prior 
Search tags for this page 
galenshore distribution,a galenshore distribution,galenshore distribution: an unknown quantity,galenshore conjugate prior,galenshore
Click on a term to search for related topics.

Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Posterior of the gamma and its conjugate  malaguena  Advanced Statistics  0  February 14th, 2011 12:11 AM 
Convex loss function & normal posterior  Bayes's rule?  boot20  Advanced Statistics  0  January 27th, 2011 03:59 PM 
Jeffreys Prior  kqed123  Advanced Statistics  0  February 23rd, 2010 04:04 PM 
Prior probability of selecting an alphabet character puzzler  WhatsTheChance  Advanced Statistics  0  October 5th, 2009 03:01 AM 