a***n
发帖数: 40 | 1 By Kolmogrove's 0-1 law, P(sigema |Xn| < infinitey) = 0 or 1.
Can we conclude that the infinite sum of |Xn| either converges almost surely,
or diverges almost surely?
Thank you. | H****h
发帖数: 1037 | 2 Yes.
,
【在 a***n 的大作中提到】
: By Kolmogrove's 0-1 law, P(sigema |Xn| < infinitey) = 0 or 1.
: Can we conclude that the infinite sum of |Xn| either converges almost surely,
: or diverges almost surely?
: Thank you.
| c*******n
发帖数: 718 | 3 No, only when Xn is independent
,
【在 a***n 的大作中提到】
: By Kolmogrove's 0-1 law, P(sigema |Xn| < infinitey) = 0 or 1.
: Can we conclude that the infinite sum of |Xn| either converges almost surely,
: or diverges almost surely?
: Thank you.
| H****h
发帖数: 1037 | 4 Yes.
,
【在 a***n 的大作中提到】
: By Kolmogrove's 0-1 law, P(sigema |Xn| < infinitey) = 0 or 1.
: Can we conclude that the infinite sum of |Xn| either converges almost surely,
: or diverges almost surely?
: Thank you.
|
|
