메뉴 건너뛰기




Volumn 45, Issue 1, 2000, Pages 136-147

Asymptotic properties of extrema of compound cox processes and their applications to some problems of financial mathematics

Author keywords

Compound Cox process; Doubly stochastic poisson process (Cox process); Maximum sums of independent random variables

Indexed keywords


EID: 0034747572     PISSN: 0040585X     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0040585X97978130     Document Type: Article
Times cited : (13)

References (18)
  • 1
    • 0003214054 scopus 로고
    • Doubly stochastic poisson processes
    • Springer-Verlag, Berlin
    • J. GRANDELL, Doubly Stochastic Poisson Processes, Lecture Notes in Math. 529, Springer-Verlag, Berlin, 1976.
    • (1976) Lecture Notes in Math. , vol.529
    • Grandell, J.1
  • 2
    • 0007158574 scopus 로고    scopus 로고
    • On approximations to generalized poisson processes
    • V. E. BENING, V. YU KOROLEV, AND S. YA. SHORGIN, On approximations to generalized Poisson processes, J. Math. Sci., 83 (1997), pp. 360-373.
    • (1997) J. Math. Sci. , vol.83 , pp. 360-373
    • Bening, V.E.1    Korolev, V.Yu.2    Shorgin, S.Ya.3
  • 4
    • 0007224027 scopus 로고    scopus 로고
    • Modeling of the distributions of stock prices by methods of the asymptotic theory of random summation
    • in Russian
    • V. YU. KOROLEV, Modeling of the distributions of stock prices by methods of the asymptotic theory of random summation, Obozrenie Prikladnoi i Promyshlennoi Matematiki, 4 (1997), pp. 86-102 (in Russian).
    • (1997) Obozrenie Prikladnoi i Promyshlennoi Matematiki , vol.4 , pp. 86-102
    • Korolev, V.Yu.1
  • 5
    • 0038979606 scopus 로고    scopus 로고
    • On convergence of distributions of compound Cox processes to stable laws
    • V. YU. KOROLEV, On convergence of distributions of compound Cox processes to stable laws, Theory Probab. Appl., 43 (1998), pp. 644-650.
    • (1998) Theory Probab. Appl. , vol.43 , pp. 644-650
    • Korolev, V.Yu.1
  • 6
    • 0007228814 scopus 로고    scopus 로고
    • A general theorem on the limit behavior of superpositions of independent random processes with applications to Cox processes
    • V. YU. KOROLEV, A general theorem on the limit behavior of superpositions of independent random processes with applications to Cox processes, J. Math. Sci., 81 (1996), pp. 2951-2956.
    • (1996) J. Math. Sci. , vol.81 , pp. 2951-2956
    • Korolev, V.Yu.1
  • 7
    • 0031350983 scopus 로고    scopus 로고
    • To the invariance principle
    • V. M. KRUGLOV, To the invariance principle, Theory Probab. Appl., 42 (1997), pp. 225-243.
    • (1997) Theory Probab. Appl. , vol.42 , pp. 225-243
    • Kruglov, V.M.1
  • 8
    • 0007289891 scopus 로고
    • Convergence of random sequences with independent random indices. I
    • V. YU. KOROLEV, Convergence of random sequences with independent random indices. I, Theory Probab. Appl., 39 (1994), pp. 282-297.
    • (1994) Theory Probab. Appl. , vol.39 , pp. 282-297
    • Korolev, V.Yu.1
  • 12
    • 0007159401 scopus 로고
    • Convergence rate estimates in some limit theorems for maximum random sums
    • V. YU. KOROLEV AND D. O. SELIVANOVA, Convergence rate estimates in some limit theorems for maximum random sums, J. Math. Sci., 76 (1995), pp. 2163-2168.
    • (1995) J. Math. Sci. , vol.76 , pp. 2163-2168
    • Korolev, V.Yu.1    Selivanova, D.O.2
  • 17
    • 0007291921 scopus 로고
    • Probabilistic and statistical models of the evolution of financial indices
    • in Russian
    • A. N. SHIRYAEV, Probabilistic and statistical models of the evolution of financial indices, Obozrenie Prikladnoi i Promyshlennoi Matematiki, 2 (1995), pp. 527-555 (in Russian).
    • (1995) Obozrenie Prikladnoi i Promyshlennoi Matematiki , vol.2 , pp. 527-555
    • Shiryaev, A.N.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.