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Volumn 46, Issue 7, 2003, Pages 1073-1079

Increment Processes and Its Stochastic Exponential with Markov Switching in Poisson Approximation Scheme

Author keywords

Increment process; Markov process; Poisson approximation; Semimartingale; Stochastic exponential process; Weak convergence

Indexed keywords

APPROXIMATION THEORY; CONVERGENCE OF NUMERICAL METHODS; MATHEMATICAL OPERATORS; PERTURBATION TECHNIQUES; POISSON DISTRIBUTION; THEOREM PROVING;

EID: 0242663282     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0898-1221(03)90121-0     Document Type: Conference Paper
Times cited : (4)

References (19)
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    • C. Kluppelberg and T. Mikosch, Explosive Poisson shot processes with applications to risk reserves, Bernoulli 1 (1/2), 125-147, (1995).
    • (1995) Bernoulli , vol.1 , Issue.1-2 , pp. 125-147
    • Kluppelberg, C.1    Mikosch, T.2
  • 7
  • 11
    • 0002809590 scopus 로고
    • Switching processes; Averaging principle, diffusion approximation and applications
    • V.V. Anisimov, Switching processes; Averaging principle, diffusion approximation and applications, Acta Aplicandae Mathematical 40, 95-141, (1995).
    • (1995) Acta Aplicandae Mathematical , vol.40 , pp. 95-141
    • Anisimov, V.V.1
  • 14
    • 0242453946 scopus 로고    scopus 로고
    • A singular perturbation approach for Liptser's functional limit theorem and some extensions
    • V.S. Korolyuk and N. Limnios, A singular perturbation approach for Liptser's functional limit theorem and some extensions, Theory Probab. and Math. Statist. 58, 83-88, (1999).
    • (1999) Theory Probab. and Math. Statist. , vol.58 , pp. 83-88
    • Korolyuk, V.S.1    Limnios, N.2
  • 15
    • 0242537636 scopus 로고    scopus 로고
    • Diffusion approximation of integral functional in merging and averaging scheme
    • V.S. Korolyuk and N. Limnios, Diffusion approximation of integral functional in merging and averaging scheme, Theory Probab. and Math. Statist. 59, 91-98, (1999).
    • (1999) Theory Probab. and Math. Statist. , vol.59 , pp. 91-98
    • Korolyuk, V.S.1    Limnios, N.2
  • 16
    • 0242453947 scopus 로고    scopus 로고
    • Diffusion approximation of integral functionals in double merging and averaging scheme
    • V.S. Korolyuk and N. Limnios, Diffusion approximation of integral functionals in double merging and averaging scheme, Theory Probab. and Math. Statist. 60, 87-94, (2000).
    • (2000) Theory Probab. and Math. Statist. , vol.60 , pp. 87-94
    • Korolyuk, V.S.1    Limnios, N.2
  • 18
    • 0242453948 scopus 로고
    • Martingales and limit theorems for stochastic processes
    • Edited by Yu. Prokhorov and A.N. Shiryaev, Springer
    • R.Sh. Liptser and A.N. Shiryayev, Martingales and limit theorems for stochastic processes, In Encyclopaedia of Mathematical Sciences. Probability Theory III, (Edited by Yu. Prokhorov and A.N. Shiryaev), pp. 158-247, Springer, (1991).
    • (1991) Encyclopaedia of Mathematical Sciences. Probability Theory III , pp. 158-247
    • Liptser, R.Sh.1    Shiryayev, A.N.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.