메뉴 건너뛰기




Volumn 115, Issue 12, 2005, Pages 1954-1978

Tail of the stationary solution of the stochastic equation Y n+1=anYn+bn with Markovian coefficients

Author keywords

Ladder heights; Markov chains; Markov switching auto regression; Non negative matrices; Random walk; Renewal theory; Spectral radius; Stochastic difference equation

Indexed keywords

DIFFERENCE EQUATIONS; INFORMATION THEORY; MARKOV PROCESSES; MATRIX ALGEBRA;

EID: 27644478343     PISSN: 03044149     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.spa.2005.06.009     Document Type: Article
Times cited : (43)

References (17)
  • 1
    • 84972048966 scopus 로고
    • An extension of Cramér's estimate for the absorption probability of a random walk
    • E. Arjas, and T.P. Speed An extension of Cramér's estimate for the absorption probability of a random walk Proc. Camb. Phil. Soc. 73 1973 355 359
    • (1973) Proc. Camb. Phil. Soc. , vol.73 , pp. 355-359
    • Arjas, E.1    Speed, T.P.2
  • 2
    • 0000911117 scopus 로고
    • Aspects of matrix Wiener-Hopf factorisation in applied probability
    • S. Asmussen Aspects of matrix Wiener-Hopf factorisation in applied probability Math. Scientist 14 1989 101 116
    • (1989) Math. Scientist , vol.14 , pp. 101-116
    • Asmussen, S.1
  • 4
    • 0042909130 scopus 로고
    • Feller's renewal theorem for systems of renewal equations
    • K.B. Athreya, and K. Rama Murthy Feller's renewal theorem for systems of renewal equations J. Indian Inst. Sci. 58 1976 437 459
    • (1976) J. Indian Inst. Sci. , vol.58 , pp. 437-459
    • Athreya, K.B.1    Rama Murthy, K.2
  • 5
    • 0001103803 scopus 로고
    • n with stationary coefficients
    • A. Brandt The stochastic equation Y n + 1 = A n Y n + B n with stationary coefficients Adv. Appl. Probab. 18 1986 211 220
    • (1986) Adv. Appl. Probab. , vol.18 , pp. 211-220
    • Brandt, A.1
  • 7
    • 0001328093 scopus 로고
    • On systems of renewal equations
    • K.S. Crump On systems of renewal equations J. Math. Anal. Appl. 30 1970 425 434
    • (1970) J. Math. Anal. Appl. , vol.30 , pp. 425-434
    • Crump, K.S.1
  • 9
    • 0000732230 scopus 로고
    • Implicit renewal theory and tails of solutions of random equations
    • C.M. Goldie Implicit renewal theory and tails of solutions of random equations Ann. Appl. Probab. 1 1991 26 166
    • (1991) Ann. Appl. Probab. , vol.1 , pp. 26-166
    • Goldie, C.M.1
  • 10
    • 0002226905 scopus 로고
    • Products of random affine transformations
    • A.K. Grincevičius Products of random affine transformations Lithuanian Math. J. 20 1980 279 282
    • (1980) Lithuanian Math. J. , vol.20 , pp. 279-282
    • Grincevičius, A.K.1
  • 11
    • 70350342015 scopus 로고
    • Estimation, inference and forecasting of time series subject to change in regime
    • G. Maddala C.R. Rao D.H. Vinod
    • J.D. Hamilton Estimation, inference and forecasting of time series subject to change in regime G. Maddala C.R. Rao D.H. Vinod Handbook of Statistics vol. 11 1993 230 260
    • (1993) Handbook of Statistics , vol.11 , pp. 230-260
    • Hamilton, J.D.1
  • 12
  • 13
    • 2942672026 scopus 로고
    • Random difference equations and renewal theory for products of random matrices
    • H. Kesten Random difference equations and renewal theory for products of random matrices Acta Math. 131 1973 207 248
    • (1973) Acta Math. , vol.131 , pp. 207-248
    • Kesten, H.1
  • 14
    • 0001661229 scopus 로고
    • Renewal theory for functionals of a Markov chain with general state space
    • H. Kesten Renewal theory for functionals of a Markov chain with general state space Ann. Probab. 2 1974 355 386
    • (1974) Ann. Probab. , vol.2 , pp. 355-386
    • Kesten, H.1
  • 15
    • 13344293785 scopus 로고    scopus 로고
    • The tail of the stationary distribution of a random coefficient AR(q) model
    • C. Klüppelberg, S. Pergamenchtchikov, The tail of the stationary distribution of a random coefficient AR(q) model, Ann. Appl. Probab. 14 (2004) 971-1005.
    • (2004) Ann. Appl. Probab. , vol.14 , pp. 971-1005
    • Klüppelberg, C.1    Pergamenchtchikov, S.2
  • 16
    • 14544302928 scopus 로고
    • Théorèmes de renouvellement pour les produits de matrices aléatoires. Equations aux différences aléatoires
    • E. Le Page, Théorèmes de renouvellement pour les produits de matrices aléatoires. Equations aux différences aléatoires, Séminaires de probabilités de Rennes, 1983.
    • (1983) Séminaires de Probabilités de Rennes
    • Le Page, E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.