The problem of determining estimators for different structural parameters in the case of credibility results for weighted contracts

Virginia Atanasiu

Mathematica Bohemica (2007)

  • Volume: 132, Issue: 4, page 389-405
  • ISSN: 0862-7959

Abstract

top
This paper presents and analyzes the estimators of the structural parameters, in the Bühlmann-Straub model, involving complicated mathematical properties of conditional expectations and of conditional covariances. So to enable to use the better linear credibility results obtained in this model, we will provide useful estimators for the structure parameters. From the practical point of view it is stated the attractive property of unbiasedness for these estimators.

How to cite

top

Atanasiu, Virginia. "The problem of determining estimators for different structural parameters in the case of credibility results for weighted contracts." Mathematica Bohemica 132.4 (2007): 389-405. <http://eudml.org/doc/250242>.

@article{Atanasiu2007,
abstract = {This paper presents and analyzes the estimators of the structural parameters, in the Bühlmann-Straub model, involving complicated mathematical properties of conditional expectations and of conditional covariances. So to enable to use the better linear credibility results obtained in this model, we will provide useful estimators for the structure parameters. From the practical point of view it is stated the attractive property of unbiasedness for these estimators.},
author = {Atanasiu, Virginia},
journal = {Mathematica Bohemica},
keywords = {credibility premium; structure parameters; unbiased estimators; Bühlmann-Straub model; credibility premium; structure parameters; unbiased estimators; Bühlmann-Straub model},
language = {eng},
number = {4},
pages = {389-405},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {The problem of determining estimators for different structural parameters in the case of credibility results for weighted contracts},
url = {http://eudml.org/doc/250242},
volume = {132},
year = {2007},
}

TY - JOUR
AU - Atanasiu, Virginia
TI - The problem of determining estimators for different structural parameters in the case of credibility results for weighted contracts
JO - Mathematica Bohemica
PY - 2007
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 132
IS - 4
SP - 389
EP - 405
AB - This paper presents and analyzes the estimators of the structural parameters, in the Bühlmann-Straub model, involving complicated mathematical properties of conditional expectations and of conditional covariances. So to enable to use the better linear credibility results obtained in this model, we will provide useful estimators for the structure parameters. From the practical point of view it is stated the attractive property of unbiasedness for these estimators.
LA - eng
KW - credibility premium; structure parameters; unbiased estimators; Bühlmann-Straub model; credibility premium; structure parameters; unbiased estimators; Bühlmann-Straub model
UR - http://eudml.org/doc/250242
ER -

References

top
  1. Optimale Prämienstufensysteme, Mitt. Verein. Schweiz. Versicherungsmath. 64 (1964), 193–214. (1964) 
  2. Mathematical Methods in Risk Theory, Springer, Berlin, 1970. (1970) MR0278448
  3. Practical Risk Theory for Actuaries, Chapman & Hall, 1993. (1993) MR1284039
  4. 10.1017/S0515036100006395, ASTIN Bulletin 10 (1978), 99–112. (1978) MR0538489DOI10.1017/S0515036100006395
  5. Effective Actuarial Methods, volume 3, Elsevier Science Publishers (1990), 105–239. (1990) 
  6. 10.1016/0167-6687(82)90001-4, Insur. Math. Econ. 1 (1982), 73–80. (1982) Zbl0504.62090MR0662150DOI10.1016/0167-6687(82)90001-4
  7. 10.1080/03461238.1979.10413716, Scand. Actuar. J. (1979), 115–123. (1979) Zbl0423.62081MR0547269DOI10.1080/03461238.1979.10413716
  8. An Introduction to Non-Life Insurance Mathematics, Verlag Versicherungswissenschaft, Karlsruhe, 1984, pp. 22–54. (1984) Zbl0543.62087MR1100280

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.