An expression for a sequence of events

  • Thread starter hholzer
  • Start date
  • #1
hholzer
37
0
if you have a sequence of events {A_1, A_2, ...} then an expression
for the event that "infinitely many A_i's occur" is:

U(n = 1 to inf, U(m = n to inf, A_m) )

but wouldn't

U(n = 1 to inf, A_n)

also satisfy this?
 

Answers and Replies

  • #2
mathman
Science Advisor
8,059
540
if you have a sequence of events {A_1, A_2, ...} then an expression
for the event that "infinitely many A_i's occur" is:

U(n = 1 to inf, U(m = n to inf, A_m) )

but wouldn't

U(n = 1 to inf, A_n)

also satisfy this?
I believe the original expression, as stated, is incorrect. It should be the intersection of unions, not the union of unions.
 

Suggested for: An expression for a sequence of events

  • Last Post
Replies
8
Views
2K
  • Last Post
Replies
2
Views
1K
Replies
7
Views
2K
  • Last Post
Replies
5
Views
2K
  • Last Post
Replies
10
Views
2K
  • Last Post
Replies
3
Views
2K
Replies
4
Views
8K
  • Last Post
Replies
9
Views
2K
  • Last Post
Replies
1
Views
4K
Replies
2
Views
2K
Top