Criterion of weak convergence of probability measures [closed]
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How to prove that $P_n to P$(weak convergence)$quad$ if and only if $quadforall A- $open set, $P(partial A)=0 : P_n(A)to P(A) ?$
measure-theory proof-writing weak-convergence
asked Nov 14 at 16:24
Emerald
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closed as off-topic by Davide Giraudo, user10354138, Shailesh, Leucippus, Cesareo Nov 15 at 0:58
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – Davide Giraudo, user10354138, Shailesh, Leucippus, Cesareo
If this question can be reworded to fit the rules in the help center, please edit the question.
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How to prove that $P_n to P$(weak convergence)$quad$ if and only if $quadforall A- $open set, $P(partial A)=0 : P_n(A)to P(A) ?$
measure-theory proof-writing weak-convergence
asked Nov 14 at 16:24
Emerald
254
closed as off-topic by Davide Giraudo, user10354138, Shailesh, Leucippus, Cesareo Nov 15 at 0:58
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – Davide Giraudo, user10354138, Shailesh, Leucippus, Cesareo
If this question can be reworded to fit the rules in the help center, please edit the question.
3
That will depend on how you define weak convergence. Most texts that discuss weak convergence will contain a proof of the "portmanteau theorem" that gives a number of equivalent formulations.
– Michael Greinecker♦
Nov 14 at 16:38
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favorite
up vote
0
down vote
favorite
How to prove that $P_n to P$(weak convergence)$quad$ if and only if $quadforall A- $open set, $P(partial A)=0 : P_n(A)to P(A) ?$
measure-theory proof-writing weak-convergence
asked Nov 14 at 16:24
Emerald
254
How to prove that $P_n to P$(weak convergence)$quad$ if and only if $quadforall A- $open set, $P(partial A)=0 : P_n(A)to P(A) ?$
measure-theory proof-writing weak-convergence
measure-theory proof-writing weak-convergence
asked Nov 14 at 16:24
Emerald
254
asked Nov 14 at 16:24
Emerald
254
asked Nov 14 at 16:24
Emerald
254
asked Nov 14 at 16:24
Emerald
254
asked Nov 14 at 16:24
Emerald
254
254
closed as off-topic by Davide Giraudo, user10354138, Shailesh, Leucippus, Cesareo Nov 15 at 0:58
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – Davide Giraudo, user10354138, Shailesh, Leucippus, Cesareo
If this question can be reworded to fit the rules in the help center, please edit the question.
closed as off-topic by Davide Giraudo, user10354138, Shailesh, Leucippus, Cesareo Nov 15 at 0:58
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – Davide Giraudo, user10354138, Shailesh, Leucippus, Cesareo
If this question can be reworded to fit the rules in the help center, please edit the question.
3
That will depend on how you define weak convergence. Most texts that discuss weak convergence will contain a proof of the "portmanteau theorem" that gives a number of equivalent formulations.
– Michael Greinecker♦
Nov 14 at 16:38
add a comment |
3
That will depend on how you define weak convergence. Most texts that discuss weak convergence will contain a proof of the "portmanteau theorem" that gives a number of equivalent formulations.
– Michael Greinecker♦
Nov 14 at 16:38
3
3
That will depend on how you define weak convergence. Most texts that discuss weak convergence will contain a proof of the "portmanteau theorem" that gives a number of equivalent formulations.
– Michael Greinecker♦
Nov 14 at 16:38
That will depend on how you define weak convergence. Most texts that discuss weak convergence will contain a proof of the "portmanteau theorem" that gives a number of equivalent formulations.
– Michael Greinecker♦
Nov 14 at 16:38
add a comment |
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3
That will depend on how you define weak convergence. Most texts that discuss weak convergence will contain a proof of the "portmanteau theorem" that gives a number of equivalent formulations.
– Michael Greinecker♦
Nov 14 at 16:38