
Advanced Statistics Advanced Probability and Statistics Math Forum 
 LinkBack  Thread Tools  Display Modes 
April 13th, 2014, 10:41 AM  #1 
Senior Member Joined: Jan 2014 Posts: 196 Thanks: 3  Is this pdf bounded?
The question asks to find the constant $\displaystyle c$ so that $\displaystyle f(x)$ is a pdf of a random variable $\displaystyle X$. Then asks is this pdf bounded? I cannot find in my notes or text how to find if a pdf is bounded. To solve for $\displaystyle c$ $\displaystyle f(x) =c/\sqrt{x}$ , $\displaystyle 0<x<1$ so $\displaystyle \int_0^1 c x^{1/2}=1$ $\displaystyle 2cx^{1/2}_0^1$ $\displaystyle 2c\sqrt{1} 0=1$ $\displaystyle 2c=1$ $\displaystyle c=1/2$ So this pdf is bounded by zero, but no upper bound? If there more work to this? Thanks for any help! 
April 13th, 2014, 01:40 PM  #2 
Global Moderator Joined: May 2007 Posts: 6,761 Thanks: 696 
You obviously saw that as x > 0, f(x) > ∞, which means it is not bounded.


Tags 
bounded, pdf 
Search tags for this page 
Click on a term to search for related topics.

Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Every totally bounded set in a metric space is bounded  Pintosp  Real Analysis  2  April 21st, 2012 01:56 PM 
region bounded by  aaronmath  Calculus  2  October 10th, 2011 12:25 PM 
Prove that f[x] is bounded.  sivela  Calculus  2  January 15th, 2011 12:59 PM 
Prove T is bounded  450081592  Calculus  1  March 7th, 2010 02:59 AM 
not bounded  wannabe1  Applied Math  1  October 11th, 2009 01:22 PM 