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ORDERING OF CLAIM SIZE RISKS AND ACTUARIAL IMPLICATIONS

Year 2002, Volume: 5 Issue: 1, 7 - 13, 01.01.2002

Abstract

Ordering of claim size risks can be done by stochastic dominance, stop-loss dominance andseveral other modalities of stochastic orders for decision making under uncertainty. Emergence of risks can bedeteected in terms of some interdependent variables and factors such as risk reserves and premium amounts.Risk ordering must be done by models that take account of this interdependence.This paper discusses some major stochastic order modalities for comparisons of risks and introduces anew risk ordering criterion in terms or record values of claim size sequences. Comparison of two independentportfolios is shown by these risk ordering approaches

References

  • Ahsanullah, M. (1985), Record Statistics. Nova Scince Publisher
  • Bairamov, I.G., (1997) Some distribution free properties of statistics based on record values and charecterization of the distributions through a record, Journal of Applies Statistical Science, Vol.5 No.1 pp.17-25.
  • Daykin, C.D., Pentikainen, T., Pesonen, E., (1995), Practical Risk Theory for Actuaries. Chapman and Hall
  • Goldie C., Rogers L.C.G., (1984), The k-record process are iid. Z. Wahrscheinlichkeitstheorie Verw Gebiete Vol. 67, 197-211.
  • Goovaerts, M.J., Kaas, R., Heerwaarden, A.E., Bauwelinckx, T., (1990), Effective Actuarial Methods, North Holland.
  • Gupta R.C., (1984), Relations between order statistics and record values and some charecterization results. Journal of Applied Probability, 21, 425-430.
  • Heilmann W.R., (1986), Fundamentals of Risk Theory, VVW Karlsruhe
  • Mosler K., Scarsini M. (1991), Stochastic Orders and Decision Under Risk, IMS Lecture Notes-Mongraph Series, Vol.19
  • Nagaraja H.N. (1978), On the expected values of record values, Australian Journal of Statistics, 20(2), 182.
  • Nagaraja H.N. (1988), Record values and related statistics-A revies. Communications in Statistics
  • Theory and Methods, 17(7),2223-2238.
  • Resnick S.L., (1987), Extreme Values, Regular Variation and Point Process, Springer-Verlag.
  • Shaked M., Shantikumar J.G, (1994), Stochastic Orders and Their Applications, Academic Press.
Year 2002, Volume: 5 Issue: 1, 7 - 13, 01.01.2002

Abstract

References

  • Ahsanullah, M. (1985), Record Statistics. Nova Scince Publisher
  • Bairamov, I.G., (1997) Some distribution free properties of statistics based on record values and charecterization of the distributions through a record, Journal of Applies Statistical Science, Vol.5 No.1 pp.17-25.
  • Daykin, C.D., Pentikainen, T., Pesonen, E., (1995), Practical Risk Theory for Actuaries. Chapman and Hall
  • Goldie C., Rogers L.C.G., (1984), The k-record process are iid. Z. Wahrscheinlichkeitstheorie Verw Gebiete Vol. 67, 197-211.
  • Goovaerts, M.J., Kaas, R., Heerwaarden, A.E., Bauwelinckx, T., (1990), Effective Actuarial Methods, North Holland.
  • Gupta R.C., (1984), Relations between order statistics and record values and some charecterization results. Journal of Applied Probability, 21, 425-430.
  • Heilmann W.R., (1986), Fundamentals of Risk Theory, VVW Karlsruhe
  • Mosler K., Scarsini M. (1991), Stochastic Orders and Decision Under Risk, IMS Lecture Notes-Mongraph Series, Vol.19
  • Nagaraja H.N. (1978), On the expected values of record values, Australian Journal of Statistics, 20(2), 182.
  • Nagaraja H.N. (1988), Record values and related statistics-A revies. Communications in Statistics
  • Theory and Methods, 17(7),2223-2238.
  • Resnick S.L., (1987), Extreme Values, Regular Variation and Point Process, Springer-Verlag.
  • Shaked M., Shantikumar J.G, (1994), Stochastic Orders and Their Applications, Academic Press.
There are 13 citations in total.

Details

Other ID JA73RS88MA
Journal Section Research Article
Authors

Omer L. Gebizlioglu This is me

Fatih Tank. This is me

Publication Date January 1, 2002
Published in Issue Year 2002 Volume: 5 Issue: 1

Cite

APA Gebizlioglu, O. L., & Tank., F. (2002). ORDERING OF CLAIM SIZE RISKS AND ACTUARIAL IMPLICATIONS. Istatistik Journal of The Turkish Statistical Association, 5(1), 7-13.
AMA Gebizlioglu OL, Tank. F. ORDERING OF CLAIM SIZE RISKS AND ACTUARIAL IMPLICATIONS. IJTSA. January 2002;5(1):7-13.
Chicago Gebizlioglu, Omer L., and Fatih Tank. “ORDERING OF CLAIM SIZE RISKS AND ACTUARIAL IMPLICATIONS”. Istatistik Journal of The Turkish Statistical Association 5, no. 1 (January 2002): 7-13.
EndNote Gebizlioglu OL, Tank. F (January 1, 2002) ORDERING OF CLAIM SIZE RISKS AND ACTUARIAL IMPLICATIONS. Istatistik Journal of The Turkish Statistical Association 5 1 7–13.
IEEE O. L. Gebizlioglu and F. Tank., “ORDERING OF CLAIM SIZE RISKS AND ACTUARIAL IMPLICATIONS”, IJTSA, vol. 5, no. 1, pp. 7–13, 2002.
ISNAD Gebizlioglu, Omer L. - Tank., Fatih. “ORDERING OF CLAIM SIZE RISKS AND ACTUARIAL IMPLICATIONS”. Istatistik Journal of The Turkish Statistical Association 5/1 (January 2002), 7-13.
JAMA Gebizlioglu OL, Tank. F. ORDERING OF CLAIM SIZE RISKS AND ACTUARIAL IMPLICATIONS. IJTSA. 2002;5:7–13.
MLA Gebizlioglu, Omer L. and Fatih Tank. “ORDERING OF CLAIM SIZE RISKS AND ACTUARIAL IMPLICATIONS”. Istatistik Journal of The Turkish Statistical Association, vol. 5, no. 1, 2002, pp. 7-13.
Vancouver Gebizlioglu OL, Tank. F. ORDERING OF CLAIM SIZE RISKS AND ACTUARIAL IMPLICATIONS. IJTSA. 2002;5(1):7-13.