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~subject:"Markov chain"
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Markov chain
probability generating function
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waiting time
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discrete distributions
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double generating function
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Markov chain imbedding method
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62E15 Run Pattern Type III binomial distribution of order k Empirical process Weak convergence Distribution theory
1
62G30 secondary
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Bernoulli trials
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Aki, Sigeo
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Hirano, Katuomi
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Inoue, Kiyoshi
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Han, Qing
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Uchida, Masayuki
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Annals of the Institute of Statistical Mathematics
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1
Joint Distributions of Numbers of Runs of Specified Lengths in a Sequence of Markov Dependent Multistate Trials
Inoue, Kiyoshi
;
Aki, Sigeo
- In:
Annals of the Institute of Statistical Mathematics
59
(
2007
)
3
,
pp. 577-595
Persistent link: https://www.econbiz.de/10005395760
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2
Generalized binomial and negative binomial distributions of orderk by thel-overlapping enumeration scheme
Inoue, Kiyoshi
;
Aki, Sigeo
- In:
Annals of the Institute of Statistical Mathematics
55
(
2003
)
1
,
pp. 153-167
Persistent link: https://www.econbiz.de/10005616099
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3
Joint distributions associated with patterns, successes and failures in a sequence of multi-state trials
Inoue, Kiyoshi
- In:
Annals of the Institute of Statistical Mathematics
56
(
2004
)
1
,
pp. 143-168
Persistent link: https://www.econbiz.de/10005616114
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4
On the Waiting Time for the First Success Run
Aki, Sigeo
;
Hirano, Katuomi
- In:
Annals of the Institute of Statistical Mathematics
59
(
2007
)
3
,
pp. 597-602
Persistent link: https://www.econbiz.de/10005169335
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5
Sooner and later waiting time problems in a two-state Markov chain
Uchida, Masayuki
;
Aki, Sigeo
- In:
Annals of the Institute of Statistical Mathematics
47
(
1995
)
3
,
pp. 415-433
Persistent link: https://www.econbiz.de/10005616116
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6
Joint distributions of numbers of success-runs and failures until the first consecutivek successes
Aki, Sigeo
;
Hirano, Katuomi
- In:
Annals of the Institute of Statistical Mathematics
47
(
1995
)
2
,
pp. 225-235
Persistent link: https://www.econbiz.de/10005616124
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7
Distributions of numbers of failures and successes until the first consecutivek successes
Aki, Sigeo
;
Hirano, Katuomi
- In:
Annals of the Institute of Statistical Mathematics
46
(
1994
)
1
,
pp. 193-202
Persistent link: https://www.econbiz.de/10005616194
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8
Waiting Time Problems in a Two-State Markov Chain
Han, Qing
;
Aki, Sigeo
- In:
Annals of the Institute of Statistical Mathematics
52
(
2000
)
4
,
pp. 778-789
Persistent link: https://www.econbiz.de/10005616299
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9
Numbers of Success-Runs of Specified Length Until Certain Stopping Time Rules and Generalized Binomial Distributions of Order k
Aki, Sigeo
;
Hirano, Katuomi
- In:
Annals of the Institute of Statistical Mathematics
52
(
2000
)
4
,
pp. 767-777
Persistent link: https://www.econbiz.de/10005616365
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