Understanding the size os this class of aleatory events
$begingroup$
Hi I am having problems to understand this:
I have:
$Omega = [0,1]$ , $Lambda =$ all subsets with defined length
Let $A_{0}$ = {A $subset$ [0,1]: A is finite union of intervals}
1º: My doubt is that $A_{0}$ is a algebra but its not a sigma algebra. Why?
Also,
A = $(0,1/2) cup (1/2,3/4) cup (3/4,7/8) cup ... cup(1-1/2^{n},1-1/2^{n+1})...$
2º: So the class of aleatory events would be bigger than $A_{0}$ . Why?
How the set A is greater than $A_{0}$?
measure-theory
asked Jan 8 at 19:17
Diogo BastosDiogo Bastos
1166
$endgroup$
add a comment |
$begingroup$
Hi I am having problems to understand this:
I have:
$Omega = [0,1]$ , $Lambda =$ all subsets with defined length
Let $A_{0}$ = {A $subset$ [0,1]: A is finite union of intervals}
1º: My doubt is that $A_{0}$ is a algebra but its not a sigma algebra. Why?
Also,
A = $(0,1/2) cup (1/2,3/4) cup (3/4,7/8) cup ... cup(1-1/2^{n},1-1/2^{n+1})...$
2º: So the class of aleatory events would be bigger than $A_{0}$ . Why?
How the set A is greater than $A_{0}$?
measure-theory
asked Jan 8 at 19:17
Diogo BastosDiogo Bastos
1166
$endgroup$
add a comment |
$begingroup$
Hi I am having problems to understand this:
I have:
$Omega = [0,1]$ , $Lambda =$ all subsets with defined length
Let $A_{0}$ = {A $subset$ [0,1]: A is finite union of intervals}
1º: My doubt is that $A_{0}$ is a algebra but its not a sigma algebra. Why?
Also,
A = $(0,1/2) cup (1/2,3/4) cup (3/4,7/8) cup ... cup(1-1/2^{n},1-1/2^{n+1})...$
2º: So the class of aleatory events would be bigger than $A_{0}$ . Why?
How the set A is greater than $A_{0}$?
measure-theory
asked Jan 8 at 19:17
Diogo BastosDiogo Bastos
1166
$endgroup$
Hi I am having problems to understand this:
I have:
$Omega = [0,1]$ , $Lambda =$ all subsets with defined length
Let $A_{0}$ = {A $subset$ [0,1]: A is finite union of intervals}
1º: My doubt is that $A_{0}$ is a algebra but its not a sigma algebra. Why?
Also,
A = $(0,1/2) cup (1/2,3/4) cup (3/4,7/8) cup ... cup(1-1/2^{n},1-1/2^{n+1})...$
2º: So the class of aleatory events would be bigger than $A_{0}$ . Why?
How the set A is greater than $A_{0}$?
measure-theory
measure-theory
asked Jan 8 at 19:17
Diogo BastosDiogo Bastos
1166
asked Jan 8 at 19:17
Diogo BastosDiogo Bastos
1166
asked Jan 8 at 19:17
Diogo BastosDiogo Bastos
1166
asked Jan 8 at 19:17
Diogo BastosDiogo Bastos
1166
asked Jan 8 at 19:17
Diogo BastosDiogo Bastos
1166
1166
add a comment |
add a comment |
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