My Math Forum  

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

Advanced Statistics Advanced Probability and Statistics Math Forum


Reply
 
LinkBack Thread Tools Display Modes
October 13th, 2013, 01:09 PM   #1
Newbie
 
Joined: Oct 2013

Posts: 25
Thanks: 0

measure of unbounded set

Suppose A is not a bounded set and m(A?B)?(3/4)m(B) for every B. what is m(A)??

here, m is Lebesgue Outer Measure

My attemption is :

Let An=A?[-n,n], then m(A)=lim m(An)= lim m(An?[-n,n]) ? lim (3/4)m([-n,n]) = infinite.

is my solution right? I am confusing m(A) < infinite , it doest make sence for me. Could someone help me???
James1973 is offline  
 
October 14th, 2013, 02:30 AM   #2
Senior Member
 
Joined: Feb 2013

Posts: 281
Thanks: 0

Re: measure of unbounded set

Quote:
m(A?B)?(3/4)m(B) for every B
choosing B = A, you get m(A) <=.75m(A), that is m(A)=0.

Quote:
I am confusing m(A) < infinite , it doest make sence for me.
You didn't show that m(A)<inf, you did show that m(A)<=inf.
csak is offline  
October 14th, 2013, 02:34 AM   #3
Newbie
 
Joined: Oct 2013

Posts: 25
Thanks: 0

Re: measure of unbounded set

Quote:
Originally Posted by csak
Quote:
m(A?B)?(3/4)m(B) for every B
choosing B = A, you get m(A) <=.75m(A), that is m(A)=0.

[quote:1ulqxtmx] I am confusing m(A) < infinite , it doest make sence for me.
You didn't show that m(A)<inf, you did show that m(A)<=inf.[/quote:1ulqxtmx]


Thanks , i get the point. !!
James1973 is offline  
Reply

  My Math Forum > College Math Forum > Advanced Statistics

Tags
measure, set, unbounded



Thread Tools
Display Modes


Similar Threads
Thread Thread Starter Forum Replies Last Post
measure DuncanThaw Real Analysis 4 November 23rd, 2013 11:02 AM
Minimum Real Part theorem issue on RHP (unbounded domain) aleberto69 Complex Analysis 2 October 12th, 2013 01:27 AM
Unbounded function on a closed graph abcdefgh Real Analysis 3 May 31st, 2012 02:23 AM
Complex Unbounded Sets BelaTalbot Complex Analysis 1 March 5th, 2010 04:57 AM
unbounded sequence rose3 Real Analysis 4 December 9th, 2009 01:20 PM





Copyright © 2019 My Math Forum. All rights reserved.