메뉴 건너뛰기




Volumn 25, Issue 2, 1999, Pages 181-195

Hattendorff's theorem for non-smooth continuous-time Markov models I: Theory

Author keywords

60J75; 62P05; Hattendorff's theorem; Loss in a given state; Markov jump process; Variance of the loss

Indexed keywords


EID: 0041425916     PISSN: 01676687     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-6687(99)00033-5     Document Type: Article
Times cited : (5)

References (27)
  • 5
    • 0009079710 scopus 로고
    • Lectures on Survival Analysis
    • In: Bakry, D., Gill, R., Molchanov, S., Lectures on Probability Theory Springer, Berlin
    • Gill, R., 1994. Lectures on Survival Analysis. In: Bakry, D., Gill, R., Molchanov, S., Lectures on Probability Theory. Lecture Notes in Mathematics 1581. Springer, Berlin.
    • (1994) Lecture Notes in Mathematics , vol.1581
    • Gill, R.1
  • 6
    • 0001232443 scopus 로고
    • A survey of product-integration with a view toward application in survival analysis
    • Gill R., Johansen S. A survey of product-integration with a view toward application in survival analysis. Ann. Statist. 18:1990;1501-1555.
    • (1990) Ann. Statist. , vol.18 , pp. 1501-1555
    • Gill, R.1    Johansen, S.2
  • 9
    • 51249188215 scopus 로고
    • Markov chain models in life insurance
    • Hoem J.M. Markov chain models in life insurance. Blätter der DGVM. IX:1969;91-107.
    • (1969) Blätter der DGVM , vol.9 , pp. 91-107
    • Hoem, J.M.1
  • 10
  • 11
    • 0000531113 scopus 로고
    • Multivariate point processes: Predictable projection, Radon-Nikodym derivatives, representation of martingales
    • Jacod J. Multivariate point processes: predictable projection, Radon-Nikodym derivatives, representation of martingales. Z. Wahrscheinlichkeitstheorie Verw. Geb. 31:1975;235-253.
    • (1975) Z. Wahrscheinlichkeitstheorie Verw. Geb. , vol.31 , pp. 235-253
    • Jacod, J.1
  • 13
    • 0011003890 scopus 로고
    • Product integrals and Markov processes
    • Johansen S. Product integrals and Markov processes. CWI Newsletter. 12:1986;3-13.
    • (1986) CWI Newsletter , vol.12 , pp. 3-13
    • Johansen, S.1
  • 14
    • 0041777913 scopus 로고    scopus 로고
    • Hattendorf's theorem for non-smooth continuous-time Markov models. II: Applications
    • in press
    • Milbrodt, H., 2000. Hattendorf's theorem for non-smooth continuous-time Markov models. II: Applications. Insurance: Mathematics and Economics, in press.
    • (2000) Insurance: Mathematics and Economics
    • Milbrodt, H.1
  • 16
    • 0031142822 scopus 로고    scopus 로고
    • Markov models and Thiele's integral equations for the prospective reserve
    • Milbrodt H., Stracke A. Markov models and Thiele's integral equations for the prospective reserve. Insurance: Mathematics and Economics. 19:1997;187-235.
    • (1997) Insurance: Mathematics and Economics , vol.19 , pp. 187-235
    • Milbrodt, H.1    Stracke, A.2
  • 17
    • 0011003891 scopus 로고
    • Payment measures, interest and discounting
    • Norberg, R., 1990. Payment measures, interest and discounting. Scand. Actuarial J., 14-33.
    • (1990) Scand. Actuarial J. , pp. 14-33
    • Norberg, R.1
  • 18
    • 84950614243 scopus 로고
    • Reserves in life and pension insurance
    • Norberg, R., 1991. Reserves in life and pension insurance. Scand. Actuarial J., 3-24.
    • (1991) Scand. Actuarial J. , pp. 3-24
    • Norberg, R.1
  • 19
    • 0011030917 scopus 로고
    • Hattendorff's theorem and Thiele's differential equation generalized
    • Norberg, R., 1992. Hattendorff's theorem and Thiele's differential equation generalized. Scand. Actuarial J., 2-14.
    • (1992) Scand. Actuarial J. , pp. 2-14
    • Norberg, R.1
  • 20
    • 0000871435 scopus 로고
    • Differential equations for higher order moments of present values in life insurance
    • Norberg R. Differential equations for higher order moments of present values in life insurance. Insurance: Mathematics and Economics. 17:1995;171-180.
    • (1995) Insurance: Mathematics and Economics , vol.17 , pp. 171-180
    • Norberg, R.1
  • 21
    • 0011030917 scopus 로고
    • Addendum to Hattendorff's theorem and Thiele's differential equation generalized
    • Norberg, R., 1996. Addendum to Hattendorff's theorem and Thiele's differential equation generalized, SAJ 1992, 2-14. Scand. Actuarial J., 50-53.
    • (1992) SAJ , pp. 2-14
    • Norberg, R.1
  • 22
    • 0347907837 scopus 로고    scopus 로고
    • Norberg, R., 1996. Addendum to Hattendorff's theorem and Thiele's differential equation generalized, SAJ 1992, 2-14. Scand. Actuarial J., 50-53.
    • Scand. Actuarial J. , pp. 50-53
  • 23
    • 84946275003 scopus 로고
    • Hattendorff's theorem: A Markov chain and counting process approach
    • Ramlau-Hansen, H., 1988a. Hattendorff's theorem: a Markov chain and counting process approach. Scand. Actuarial J., 143-156.
    • (1988) Scand. Actuarial J. , pp. 143-156
    • Ramlau-Hansen, H.1
  • 27
    • 0347277575 scopus 로고
    • Hattendorff's theorem for a continuous-time Markov model
    • Wolthuis, H., 1987. Hattendorff's theorem for a continuous-time Markov model. Scand. Actuarial J., 157-175.
    • (1987) Scand. Actuarial J. , pp. 157-175
    • Wolthuis, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.