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Volumn 35, Issue 3, 1998, Pages 671-682

The final size of a nearly critical epidemic, and the first passage time of a wiener process to a parabolic barrier

Author keywords

Airy functions; Diffusion approximation; Epidemic model; Nearly critical epidemic; Parabolic barrier; Passage time; Size of epidemic; Spectral theory; Wiener process

Indexed keywords


EID: 0032259304     PISSN: 00219002     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0021900200016326     Document Type: Article
Times cited : (68)

References (8)
  • 3
    • 85033881371 scopus 로고
    • Department of Mathematical Statistics, Stockholm University
    • DHLAKAMA, R. (1994). Research Report no. 178, Department of Mathematical Statistics, Stockholm University.
    • (1994) Research Report No. 178
    • Dhlakama, R.1
  • 4
    • 0002641355 scopus 로고
    • Brownian motion with a parabolic drift and Airy functions
    • GROENEBOOM, P. (1989). Brownian motion with a parabolic drift and Airy functions. Prob. Theory. Rel. Fields 81, 79-109.
    • (1989) Prob. Theory. Rel. Fields , vol.81 , pp. 79-109
    • Groeneboom, P.1
  • 6
    • 0000618154 scopus 로고
    • Symmetric sampling procedures, general epidemic processes and their threshold limit theorems
    • MARTIN-LÖF, A. (1986). Symmetric sampling procedures, general epidemic processes and their threshold limit theorems. J. Appl. Prob. 23, 265-282.
    • (1986) J. Appl. Prob. , vol.23 , pp. 265-282
    • Martin-Löf, A.1
  • 7
    • 0002242439 scopus 로고
    • The threshold concept in stochastic epidemic and endemic models
    • Ed D. Mollison. Publications of the Newton Institute, Cambridge University Press, Cambridge
    • NASELL, I. (1995). The threshold concept in stochastic epidemic and endemic models. In Epidemic Models: Their Structure and Relation to Data. Ed D. Mollison. Publications of the Newton Institute, Cambridge University Press, Cambridge.
    • (1995) Epidemic Models: Their Structure and Relation to Data
    • Nasell, I.1
  • 8
    • 0001364639 scopus 로고
    • On the first hitting time and the last exit time for a brownian motion to/from a moving boundary
    • SALMINEN, P. (1988). On the first hitting time and the last exit time for a Brownian motion to/from a moving boundary. Adv. Appl. Prob. 20, 411-426.
    • (1988) Adv. Appl. Prob. , vol.20 , pp. 411-426
    • Salminen, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.