My Math Forum  

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

Advanced Statistics Advanced Probability and Statistics Math Forum


Thanks Tree1Thanks
  • 1 Post By mathman
Reply
 
LinkBack Thread Tools Display Modes
April 13th, 2014, 11:41 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!
WWRtelescoping is offline  
 
April 13th, 2014, 02:40 PM   #2
Global Moderator
 
Joined: May 2007

Posts: 6,641
Thanks: 625

You obviously saw that as x -> 0, f(x) -> ∞, which means it is not bounded.
Thanks from WWRtelescoping
mathman is offline  
Reply

  My Math Forum > College Math Forum > Advanced Statistics

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 02:56 PM
region bounded by aaron-math Calculus 2 October 10th, 2011 01:25 PM
Prove that |f[x]| is bounded. sivela Calculus 2 January 15th, 2011 01:59 PM
Prove T is bounded 450081592 Calculus 1 March 7th, 2010 03:59 AM
not bounded wannabe1 Applied Math 1 October 11th, 2009 02:22 PM





Copyright © 2018 My Math Forum. All rights reserved.