메뉴 건너뛰기




Volumn 15, Issue 1, 1998, Pages 41-52

Saddlepoint approximations for stochastic processes with truncated cumulant generating functions

Author keywords

Cumulants; Logistic; Power law processes; Saddlepoint approximation; Tail probabilities; Truncation

Indexed keywords

ARTICLE; NONLINEAR SYSTEM; POPULATION DYNAMICS; STATISTICAL MODEL; STATISTICS; STOCHASTIC MODEL;

EID: 0031747972     PISSN: 02650746     EISSN: None     Source Type: Journal    
DOI: 10.1093/imammb/15.1.41     Document Type: Article
Times cited : (26)

References (23)
  • 2
    • 0001367156 scopus 로고
    • Saddlepoint approximations in statistics
    • DANIELS, H. E. 1954 Saddlepoint approximations in statistics. Ann. Math. Statist. 25, 631-650.
    • (1954) Ann. Math. Statist. , vol.25 , pp. 631-650
    • Daniels, H.E.1
  • 3
    • 0010293403 scopus 로고
    • Approximate solutions of Green's type for univariate stochastic processes
    • DANIELS, H. E. 1960 Approximate solutions of Green's type for univariate stochastic processes. J. Roy. Statist. Soc. B 22, 376-401.
    • (1960) J. Roy. Statist. Soc. B , vol.22 , pp. 376-401
    • Daniels, H.E.1
  • 4
    • 0002600304 scopus 로고
    • Saddlepoint approximations for estimating equations
    • DANIELS, H. E. 1983 Saddlepoint approximations for estimating equations. Biometrika 70, 89-96.
    • (1983) Biometrika , vol.70 , pp. 89-96
    • Daniels, H.E.1
  • 5
    • 0003175161 scopus 로고
    • Tail probability approximations
    • DANIELS, H. E. 1987 Tail probability approximations. Internat. Statist. Rev. 55, 37-48.
    • (1987) Internat. Statist. Rev. , vol.55 , pp. 37-48
    • Daniels, H.E.1
  • 7
    • 0026335575 scopus 로고
    • Assessing the variability of stochastic epidemics
    • ISHAM, V. 1991 Assessing the variability of stochastic epidemics. Math. Biosci. 107, 209-224.
    • (1991) Math. Biosci. , vol.107 , pp. 209-224
    • Isham, V.1
  • 8
    • 0002305276 scopus 로고
    • Stochastic models for epidemics with special reference to AIDS
    • ISHAM, V. 1993 Stochastic models for epidemics with special reference to AIDS. Ann. Appl. Prob. 3, 1-27.
    • (1993) Ann. Appl. Prob. , vol.3 , pp. 1-27
    • Isham, V.1
  • 9
    • 0038903484 scopus 로고
    • Correlated random-walk model for scattering
    • JAKEMAN, E. & RENSHAW, E. 1987 Correlated random-walk model for scattering. J. Opt. Soc. Amer. A 4, 1206-1212.
    • (1987) J. Opt. Soc. Amer. A , vol.4 , pp. 1206-1212
    • Jakeman, E.1    Renshaw, E.2
  • 11
    • 0013835129 scopus 로고
    • Some properties of the 'Hermite' distribution
    • KEMP, C. D. & KEMP, A. W. 1965 Some properties of the 'Hermite' distribution. Biometrika 52, 381-394.
    • (1965) Biometrika , vol.52 , pp. 381-394
    • Kemp, C.D.1    Kemp, A.W.2
  • 13
    • 0000660352 scopus 로고
    • Saddlepoint approximations for the distribution of the sum of independent random variables
    • LUGANNANI, R. & RICE, S. 1980 Saddlepoint approximations for the distribution of the sum of independent random variables. Adv. Appl. Prob. 12, 475-490.
    • (1980) Adv. Appl. Prob. , vol.12 , pp. 475-490
    • Lugannani, R.1    Rice, S.2
  • 14
    • 0029839711 scopus 로고    scopus 로고
    • On approximating the moments of the equilibrium distribution of a stochastic logistic model
    • MATIS, J. H. & KIFFE, T. R. 1996 On approximating the moments of the equilibrium distribution of a stochastic logistic model. Biometrics 52, 980-991.
    • (1996) Biometrics , vol.52 , pp. 980-991
    • Matis, J.H.1    Kiffe, T.R.2
  • 16
    • 0026360188 scopus 로고
    • Dependence of epidemic and population velocities on basic parameters
    • MOLLISON, D. 1991 Dependence of epidemic and population velocities on basic parameters. Math. Biosci. 107, 255-287.
    • (1991) Math. Biosci. , vol.107 , pp. 255-287
    • Mollison, D.1
  • 17
    • 84972528712 scopus 로고
    • Saddlepoint methods and statistical inference
    • REID, N. 1988 Saddlepoint methods and statistical inference. Statist. Sci. 3, 213-238.
    • (1988) Statist. Sci. , vol.3 , pp. 213-238
    • Reid, N.1
  • 18
    • 0000114984 scopus 로고
    • A survey of stepping-stone models in population dynamics
    • RENSHAW, E. 1986 A survey of stepping-stone models in population dynamics. Adv. Appl. Prob. 18, 581-627.
    • (1986) Adv. Appl. Prob. , vol.18 , pp. 581-627
    • Renshaw, E.1
  • 19
    • 0040264573 scopus 로고
    • The high-order autocovariance structure of the Telegraph Wave
    • RENSHAW, E. 1988 The high-order autocovariance structure of the Telegraph Wave. J. Appl. Prob. 25, 744-751.
    • (1988) J. Appl. Prob. , vol.25 , pp. 744-751
    • Renshaw, E.1
  • 21
    • 0005406723 scopus 로고
    • Non-linear waves on the Turing ring
    • RENSHAW, E. 1994 Non-linear waves on the Turing ring. Math. Scientist 19, 22-46.
    • (1994) Math. Scientist , vol.19 , pp. 22-46
    • Renshaw, E.1
  • 22
    • 0002011401 scopus 로고
    • The chemical basis of morphogenesis
    • TURING, A. M. 1952 The chemical basis of morphogenesis. Phil. Trans. Roy. Soc. Lond. B 237, 37-72.
    • (1952) Phil. Trans. Roy. Soc. Lond. B , vol.237 , pp. 37-72
    • Turing, A.M.1
  • 23
    • 0001637131 scopus 로고
    • On the use of the Normal approximation in the treatment of stochastic processes
    • WHITTLE, P. 1957 On the use of the Normal approximation in the treatment of stochastic processes. J. Roy. Statist. Soc. B 19, 268-281.
    • (1957) J. Roy. Statist. Soc. B , vol.19 , pp. 268-281
    • Whittle, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.