메뉴 건너뛰기




Volumn 10, Issue 2, 2000, Pages 573-591

Compound Poisson approximation for counts of rare patterns in Markov chains and extreme sojourns in birth-death chains

Author keywords

Birth death chain; Compound Poisson approximation; Counts of rare patterns; Error bound; Extreme sojourns; Head run; Stationary Markov chain

Indexed keywords


EID: 0034376430     PISSN: 10505164     EISSN: None     Source Type: Journal    
DOI: 10.1214/aoap/1019487356     Document Type: Article
Times cited : (14)

References (19)
  • 3
    • 0000549988 scopus 로고
    • Compound Poisson approximation for nonnegative random variables via Stein's method
    • BARBOUR, A. D., CHEN, L. H. Y. and LOH, W.-L. (1992). Compound Poisson approximation for nonnegative random variables via Stein's method. Ann. Probab. 20 1843-1866.
    • (1992) Ann. Probab. , vol.20 , pp. 1843-1866
    • Barbour, A.D.1    Chen, L.H.Y.2    Loh, W.-L.3
  • 5
    • 0039262622 scopus 로고
    • Extreme sojourns for random walks and birth-and-death processes
    • BERMAN, S. M. (1986). Extreme sojourns for random walks and birth-and-death processes. Comm. Statist. Stochastic Models 2 393-408.
    • (1986) Comm. Statist. Stochastic Models , vol.2 , pp. 393-408
    • Berman, S.M.1
  • 8
    • 0033244644 scopus 로고    scopus 로고
    • Compound Poisson approximation for Markov chains using Stein's method
    • ERHARDSSON, T. (1999). Compound Poisson approximation for Markov chains using Stein's method. Ann. Probab. 27 565-596.
    • (1999) Ann. Probab. , vol.27 , pp. 565-596
    • Erhardsson, T.1
  • 9
    • 0034372148 scopus 로고    scopus 로고
    • On stationary renewal reward processes where most rewards are zero
    • To appear
    • ERHARDSSON, T. (2000). On stationary renewal reward processes where most rewards are zero. Probab. Theory Related Fields. To appear.
    • (2000) Probab. Theory Related Fields
    • Erhardsson, T.1
  • 10
    • 0002590276 scopus 로고
    • Eigenvalue bounds on convergence to stationarity for nonreversible Markov chains, with an application to the exclusion process
    • FILL, J. A. (1991). Eigenvalue bounds on convergence to stationarity for nonreversible Markov chains, with an application to the exclusion process. Ann. Appl. Probab. 1 62-87.
    • (1991) Ann. Appl. Probab. , vol.1 , pp. 62-87
    • Fill, J.A.1
  • 16
    • 84996141000 scopus 로고
    • Compound Poisson approximation of word counts in DNA sequences
    • SCHBATH, S. (1995). Compound Poisson approximation of word counts in DNA sequences. ESAIM Probab. Statist. 1 1-16.
    • (1995) ESAIM Probab. Statist. , vol.1 , pp. 1-16
    • Schbath, S.1
  • 17
    • 0041041208 scopus 로고
    • High-level exceedances of regenerative and semi-stationary processes
    • SERFOZO, R. (1980). High-level exceedances of regenerative and semi-stationary processes. J. Appl. Probab. 17 423-431.
    • (1980) J. Appl. Probab. , vol.17 , pp. 423-431
    • Serfozo, R.1
  • 18
    • 0031526698 scopus 로고    scopus 로고
    • Explicit distributional results in pattern formation
    • STEFANOV, V. T. and PAKES, A. G. (1997). Explicit distributional results in pattern formation. Ann. Appl. Probab. 7 666-678.
    • (1997) Ann. Appl. Probab. , vol.7 , pp. 666-678
    • Stefanov, V.T.1    Pakes, A.G.2
  • 19
    • 21844513034 scopus 로고
    • Limit theorems for the number of occurrences of consecutive k successes in n Markovian trials
    • WANG, Y. H. and JI, S. (1995). Limit theorems for the number of occurrences of consecutive k successes in n Markovian trials. J. Appl. Probab. 32 727-735.
    • (1995) J. Appl. Probab. , vol.32 , pp. 727-735
    • Wang, Y.H.1    Ji, S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.