Does the definition of positive or null recurrence require aperiodicity?
0
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Do the notions of null or positive recurrence have to be defined with respect to irreducible, aperiodic chains or does irreducibility suffice?
markov-chains
asked Dec 26 '18 at 19:23
p-valuep-value
224111
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add a comment |
0
$begingroup$
Do the notions of null or positive recurrence have to be defined with respect to irreducible, aperiodic chains or does irreducibility suffice?
markov-chains
asked Dec 26 '18 at 19:23
p-valuep-value
224111
$endgroup$
$begingroup$
Sorry but after your rapid succession of basic questions on the subject, one needs to know: are you following a textbook? If not, why?
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– Did
Dec 31 '18 at 20:26
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@Did I am following a textbook and that is where this question came from. In Lawler's Stochastic Processes, Chapter 2 defines null and positive recurrence only for irreducible, aperiodic chains, which is why I wonder whether periodicity is needed here?
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– p-value
Jan 1 at 7:01
$begingroup$
@Did Ditto for the other two questions I posed; I was not able to find an answer to either on the book. If you could point me to a resource or post an answer, I would gladly accept it.
$endgroup$
– p-value
Jan 1 at 7:04
$begingroup$
The trouble is that you seem to stumble on very basic obstacles, well below the subject you are trying to tackle... hence my advice for a reference would be a mildly general and mildly complete textbook on probability theory (say, Durrett), to be worked on thoroughly before continuing the present string of essentially irrelevant questions.
$endgroup$
– Did
Jan 1 at 11:41
add a comment |
0
0
0
$begingroup$
Do the notions of null or positive recurrence have to be defined with respect to irreducible, aperiodic chains or does irreducibility suffice?
markov-chains
asked Dec 26 '18 at 19:23
p-valuep-value
224111
$endgroup$
Do the notions of null or positive recurrence have to be defined with respect to irreducible, aperiodic chains or does irreducibility suffice?
markov-chains
markov-chains
asked Dec 26 '18 at 19:23
p-valuep-value
224111
asked Dec 26 '18 at 19:23
p-valuep-value
224111
asked Dec 26 '18 at 19:23
p-valuep-value
224111
asked Dec 26 '18 at 19:23
p-valuep-value
224111
asked Dec 26 '18 at 19:23
p-valuep-value
224111
224111
$begingroup$
Sorry but after your rapid succession of basic questions on the subject, one needs to know: are you following a textbook? If not, why?
$endgroup$
– Did
Dec 31 '18 at 20:26
$begingroup$
@Did I am following a textbook and that is where this question came from. In Lawler's Stochastic Processes, Chapter 2 defines null and positive recurrence only for irreducible, aperiodic chains, which is why I wonder whether periodicity is needed here?
$endgroup$
– p-value
Jan 1 at 7:01
$begingroup$
@Did Ditto for the other two questions I posed; I was not able to find an answer to either on the book. If you could point me to a resource or post an answer, I would gladly accept it.
$endgroup$
– p-value
Jan 1 at 7:04
$begingroup$
The trouble is that you seem to stumble on very basic obstacles, well below the subject you are trying to tackle... hence my advice for a reference would be a mildly general and mildly complete textbook on probability theory (say, Durrett), to be worked on thoroughly before continuing the present string of essentially irrelevant questions.
$endgroup$
– Did
Jan 1 at 11:41
add a comment |
$begingroup$
Sorry but after your rapid succession of basic questions on the subject, one needs to know: are you following a textbook? If not, why?
$endgroup$
– Did
Dec 31 '18 at 20:26
$begingroup$
@Did I am following a textbook and that is where this question came from. In Lawler's Stochastic Processes, Chapter 2 defines null and positive recurrence only for irreducible, aperiodic chains, which is why I wonder whether periodicity is needed here?
$endgroup$
– p-value
Jan 1 at 7:01
$begingroup$
@Did Ditto for the other two questions I posed; I was not able to find an answer to either on the book. If you could point me to a resource or post an answer, I would gladly accept it.
$endgroup$
– p-value
Jan 1 at 7:04
$begingroup$
The trouble is that you seem to stumble on very basic obstacles, well below the subject you are trying to tackle... hence my advice for a reference would be a mildly general and mildly complete textbook on probability theory (say, Durrett), to be worked on thoroughly before continuing the present string of essentially irrelevant questions.
$endgroup$
– Did
Jan 1 at 11:41
$begingroup$
Sorry but after your rapid succession of basic questions on the subject, one needs to know: are you following a textbook? If not, why?
$endgroup$
– Did
Dec 31 '18 at 20:26
$begingroup$
Sorry but after your rapid succession of basic questions on the subject, one needs to know: are you following a textbook? If not, why?
$endgroup$
– Did
Dec 31 '18 at 20:26
$begingroup$
@Did I am following a textbook and that is where this question came from. In Lawler's Stochastic Processes, Chapter 2 defines null and positive recurrence only for irreducible, aperiodic chains, which is why I wonder whether periodicity is needed here?
$endgroup$
– p-value
Jan 1 at 7:01
$begingroup$
@Did I am following a textbook and that is where this question came from. In Lawler's Stochastic Processes, Chapter 2 defines null and positive recurrence only for irreducible, aperiodic chains, which is why I wonder whether periodicity is needed here?
$endgroup$
– p-value
Jan 1 at 7:01
$begingroup$
@Did Ditto for the other two questions I posed; I was not able to find an answer to either on the book. If you could point me to a resource or post an answer, I would gladly accept it.
$endgroup$
– p-value
Jan 1 at 7:04
$begingroup$
@Did Ditto for the other two questions I posed; I was not able to find an answer to either on the book. If you could point me to a resource or post an answer, I would gladly accept it.
$endgroup$
– p-value
Jan 1 at 7:04
$begingroup$
The trouble is that you seem to stumble on very basic obstacles, well below the subject you are trying to tackle... hence my advice for a reference would be a mildly general and mildly complete textbook on probability theory (say, Durrett), to be worked on thoroughly before continuing the present string of essentially irrelevant questions.
$endgroup$
– Did
Jan 1 at 11:41
$begingroup$
The trouble is that you seem to stumble on very basic obstacles, well below the subject you are trying to tackle... hence my advice for a reference would be a mildly general and mildly complete textbook on probability theory (say, Durrett), to be worked on thoroughly before continuing the present string of essentially irrelevant questions.
$endgroup$
– Did
Jan 1 at 11:41
add a comment |
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$begingroup$
Sorry but after your rapid succession of basic questions on the subject, one needs to know: are you following a textbook? If not, why?
$endgroup$
– Did
Dec 31 '18 at 20:26
$begingroup$
@Did I am following a textbook and that is where this question came from. In Lawler's Stochastic Processes, Chapter 2 defines null and positive recurrence only for irreducible, aperiodic chains, which is why I wonder whether periodicity is needed here?
$endgroup$
– p-value
Jan 1 at 7:01
$begingroup$
@Did Ditto for the other two questions I posed; I was not able to find an answer to either on the book. If you could point me to a resource or post an answer, I would gladly accept it.
$endgroup$
– p-value
Jan 1 at 7:04
$begingroup$
The trouble is that you seem to stumble on very basic obstacles, well below the subject you are trying to tackle... hence my advice for a reference would be a mildly general and mildly complete textbook on probability theory (say, Durrett), to be worked on thoroughly before continuing the present string of essentially irrelevant questions.
$endgroup$
– Did
Jan 1 at 11:41