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Volumn 7, Issue 2, 1997, Pages 314-325

On the Karlin-McGregor theorem and applications

Author keywords

Moving boundaries; Noncoincidence probabilities; Order statistics; Queueing

Indexed keywords


EID: 0031287496     PISSN: 10505164     EISSN: None     Source Type: Journal    
DOI: 10.1214/aoap/1034625333     Document Type: Article
Times cited : (11)

References (15)
  • 1
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    • (1993) J. Appl. Probab. , vol.30 , pp. 737-741
    • Böhm, W.1    Jain, J.L.2    Mohanty, S.G.3
  • 2
    • 34250142002 scopus 로고
    • Walks, walls, wetting and melting
    • FISHER, M. E. (1984). Walks, walls, wetting and melting. J. Statist. Phys. 34 667-730.
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    • Fisher, M.E.1
  • 3
    • 0000868570 scopus 로고
    • Binomial determinants, paths and hook length formulae
    • GESSEL, I. and VIENNOT, G. (1985). Binomial determinants, paths and hook length formulae. Adv. in Math. 58 300-321.
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    • Gessel, I.1    Viennot, G.2
  • 4
    • 0000970678 scopus 로고
    • Coincident probabilities and applications in combinatorics
    • KARLIN, S. (1988). Coincident probabilities and applications in combinatorics. J. Appl. Probab. 25A 185-200.
    • (1988) J. Appl. Probab. , vol.25 A , pp. 185-200
    • Karlin, S.1
  • 5
    • 0000036102 scopus 로고
    • The differential equations of birth-and-death processes and the Stieltjes moment problem
    • KARLIN, S. and MCGREGOR, J. G. (1957). The differential equations of birth-and-death processes and the Stieltjes moment problem. Trans. Amer. Math. Soc. 85 489-546.
    • (1957) Trans. Amer. Math. Soc. , vol.85 , pp. 489-546
    • Karlin, S.1    McGregor, J.G.2
  • 6
    • 84972545947 scopus 로고
    • Coincidence probabilities
    • KARLIN, S. and MCGREGOR, J. G. (1959). Coincidence probabilities. Pacific J. Math. 9 1141-1164.
    • (1959) Pacific J. Math. , vol.9 , pp. 1141-1164
    • Karlin, S.1    McGregor, J.G.2
  • 8
    • 0000687941 scopus 로고
    • Calculating exit times for series Jackson networks
    • MASSEY, W. A. (1987). Calculating exit times for series Jackson networks. J. Appl. Probab. 27 226-234.
    • (1987) J. Appl. Probab. , vol.27 , pp. 226-234
    • Massey, W.A.1
  • 9
    • 0003115536 scopus 로고
    • The calculation of two-sided Kolmogorov-Smirnov type statistics
    • NOE, M. (1972). The calculation of two-sided Kolmogorov-Smirnov type statistics. Ann. Math. Statist. 43 58-64.
    • (1972) Ann. Math. Statist. , vol.43 , pp. 58-64
    • Noe, M.1
  • 12
    • 0001770263 scopus 로고
    • Distribution of first-exit times for empirical counting and Poisson processes with moving boundaries
    • STADJE, W. (1993). Distribution of first-exit times for empirical counting and Poisson processes with moving boundaries. Stochastic Models 9 91-103.
    • (1993) Stochastic Models , vol.9 , pp. 91-103
    • Stadje, W.1
  • 13
    • 0010940526 scopus 로고
    • The busy period of some queueing systems
    • STADJE, W. (1995). The busy period of some queueing systems. Stochastic Process. Appl. 55 159-167.
    • (1995) Stochastic Process. Appl. , vol.55 , pp. 159-167
    • Stadje, W.1
  • 15
    • 0000585763 scopus 로고
    • Distributions of stopping times for Poisson processes with linear boundaries
    • ZACKS, S. (1991). Distributions of stopping times for Poisson processes with linear boundaries. Stochastic Models 7 233-242.
    • (1991) Stochastic Models , vol.7 , pp. 233-242
    • Zacks, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.