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Volumn 77, Issue 5, 2007, Pages 503-513

Age and residual lifetime distributions for branching processes

Author keywords

Age distributions; Branching processes; Immigration; Residual lifetime distributions

Indexed keywords


EID: 33846181000     PISSN: 01677152     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.spl.2006.08.018     Document Type: Article
Times cited : (22)

References (21)
  • 1
    • 0043121201 scopus 로고
    • Convergence of the age distribution in the one-dimensional supercritical age-dependent branching process
    • Athreya K.B., and Kaplan N. Convergence of the age distribution in the one-dimensional supercritical age-dependent branching process. Ann. Probab. 4 1 (1976) 38-50
    • (1976) Ann. Probab. , vol.4 , Issue.1 , pp. 38-50
    • Athreya, K.B.1    Kaplan, N.2
  • 2
    • 0039785458 scopus 로고
    • Distributions associated with cell populations
    • Bartlett M.S. Distributions associated with cell populations. Biometrika 56 (1969) 391-400
    • (1969) Biometrika , vol.56 , pp. 391-400
    • Bartlett, M.S.1
  • 3
    • 0014844140 scopus 로고
    • Age distributions
    • Bartlett M.S. Age distributions. Biometrics 26 (1970) 377-385
    • (1970) Biometrics , vol.26 , pp. 377-385
    • Bartlett, M.S.1
  • 4
    • 0033009866 scopus 로고    scopus 로고
    • A stochastic model of temporally regulated generation of oligodendrocytes in vitro
    • Boucher K., Yakovlev A.Y., Mayer-Proschel M., and Noble M. A stochastic model of temporally regulated generation of oligodendrocytes in vitro. Math. Biosci. 159 (1999) 47-78
    • (1999) Math. Biosci. , vol.159 , pp. 47-78
    • Boucher, K.1    Yakovlev, A.Y.2    Mayer-Proschel, M.3    Noble, M.4
  • 5
    • 33846126305 scopus 로고    scopus 로고
    • Feller, W., 1971. An Introduction to Probability and Its Applications, vol. 2, second ed. Wiley, New York.
  • 7
    • 15044348748 scopus 로고    scopus 로고
    • A stochastic model to analyze clonal data on multi-type cell populations
    • Hyrien O., Mayer-Proschel M., Noble M., and Yakovlev A.Y. A stochastic model to analyze clonal data on multi-type cell populations. Biometrics 61 (2005) 199-207
    • (2005) Biometrics , vol.61 , pp. 199-207
    • Hyrien, O.1    Mayer-Proschel, M.2    Noble, M.3    Yakovlev, A.Y.4
  • 9
    • 0037196872 scopus 로고    scopus 로고
    • The utility of Ki-67 and BrdU as proliferative markers of adult neurogenesis
    • Kee N., Sivalingam S., Boonstra R., and Wojtowicz J.M. The utility of Ki-67 and BrdU as proliferative markers of adult neurogenesis. J. Neurosci. Methods 115 (2002) 97-105
    • (2002) J. Neurosci. Methods , vol.115 , pp. 97-105
    • Kee, N.1    Sivalingam, S.2    Boonstra, R.3    Wojtowicz, J.M.4
  • 10
    • 0035711637 scopus 로고    scopus 로고
    • Limit theorems for alternating renewal processes in the infinite mean case
    • Mitov K.V., and Yanev N.M. Limit theorems for alternating renewal processes in the infinite mean case. Adv. Appl. Probab. 33 (2001) 896-911
    • (2001) Adv. Appl. Probab. , vol.33 , pp. 896-911
    • Mitov, K.V.1    Yanev, N.M.2
  • 11
    • 0035533798 scopus 로고    scopus 로고
    • Regenerative processes in the infinite mean cycle case
    • Mitov K.V., and Yanev N.M. Regenerative processes in the infinite mean cycle case. J. Appl. Probab. 38 (2001) 165-179
    • (2001) J. Appl. Probab. , vol.38 , pp. 165-179
    • Mitov, K.V.1    Yanev, N.M.2
  • 12
    • 28244480273 scopus 로고    scopus 로고
    • Critical Bellman-Harris branching processes with infinite variance allowing state-dependent immigration
    • Mitov K.V., and Yanev N.M. Critical Bellman-Harris branching processes with infinite variance allowing state-dependent immigration. Stochastic Models 18 2 (2002) 281-300
    • (2002) Stochastic Models , vol.18 , Issue.2 , pp. 281-300
    • Mitov, K.V.1    Yanev, N.M.2
  • 13
    • 33344459899 scopus 로고    scopus 로고
    • Superposition of renewal processes with heavy-tailed interarrival times
    • Mitov K.V., and Yanev N.M. Superposition of renewal processes with heavy-tailed interarrival times. Statist. Probab. Lett. 76 (2006) 555-561
    • (2006) Statist. Probab. Lett. , vol.76 , pp. 555-561
    • Mitov, K.V.1    Yanev, N.M.2
  • 14
    • 0014327503 scopus 로고
    • Age distributions in stochastically dividing populations
    • Nooney G.C. Age distributions in stochastically dividing populations. J. Theoret. Biol. 20 (1968) 314-320
    • (1968) J. Theoret. Biol. , vol.20 , pp. 314-320
    • Nooney, G.C.1
  • 15
    • 33748200411 scopus 로고
    • A limit theorem for branching stochastic processes of special form
    • (in Russian)
    • Sevastyanov B.A. A limit theorem for branching stochastic processes of special form. Theoret. Probab. Appl. 2 (1957) 121-136 (in Russian)
    • (1957) Theoret. Probab. Appl. , vol.2 , pp. 121-136
    • Sevastyanov, B.A.1
  • 18
    • 33748199744 scopus 로고
    • Backward and forward recurrence times and their interrelations in Bellman-Harris branching processes
    • Taylor J.R. Backward and forward recurrence times and their interrelations in Bellman-Harris branching processes. Statist. Probab. Letters 1 (1982) 12-16
    • (1982) Statist. Probab. Letters , vol.1 , pp. 12-16
    • Taylor, J.R.1
  • 19
    • 33846151104 scopus 로고    scopus 로고
    • Yakovlev, A.Y., Yanev, N.M., 1989. Transient Processes in Cell Proliferation Kinetics. Series Lecture Notes in Biomathematics, vol. 82, Springer, Berlin.
  • 20
    • 33846165128 scopus 로고    scopus 로고
    • Yakovlev, A.Y., Zorin, A.V., 1988. Computer Simulation in Cell Radiobiology, Series Lecture Notes in Biomathematics, vol. 74, Springer, Berlin.
  • 21
    • 33344460632 scopus 로고    scopus 로고
    • Renewal, regenerative and branching processes with stable distributions
    • Yanev N.M., Mitov K.V., and Yanev G.P. Renewal, regenerative and branching processes with stable distributions. J. Math. Sci. 122 4 (2004) 3438-3448
    • (2004) J. Math. Sci. , vol.122 , Issue.4 , pp. 3438-3448
    • Yanev, N.M.1    Mitov, K.V.2    Yanev, G.P.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.