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In most cases, loss in non-life insurance is calculated based on claim severity and frequency and an assumption of independence. However, in some cases, claim severity depends upon the claim frequency. This paper presents the derivation of aggregate loss calculation by modeling claim severity and frequency as the assumption of independence is eliminated. The authors modeled average claim severity using claim frequency as the covariate to induce the dependence among them. For that purpose, we use the generalized linear model. After doing parameters estimation, we will obtain the calculated loss.


Aggregate Loss Claim Frequency Claim Severity Dependency

Article Details

How to Cite
Lestari, D., Tanujaya, R., Al Kafi, R., & Devila, S. (2022). Generalized Linear Models for Loss Calculation in General Insurance. Pakistan Journal of Statistics and Operation Research, 18(3), 505-510.


  1. Czado, C., Kastenmeier, R., Brechmann, E. C. and Min, A. (2012). A mixed copula model for insurance claims and claim size. Scandinavian Actuarial Journal, 2012(4), 278-305. DOI:
  2. Frees, E. W. and Wang, P. (2006). Copula credibility for aggregate loss models. Insurance: Mathematics and Economics, 38(2), 360-373. DOI:
  3. Frees, E. W., Gao, J. and Rosenberg, M. A. (2011). Predicting the frequency and amount of health care expenditures. North American Actuarial Journal, 15(3), 377-392. DOI:
  4. Garrido, J., Genest, C. and Schulz, J. (2016). Generalized linear models for dependent frequency and severity of insurance claims. Insurance: Mathematics and Economics, 70(C), 205-215. DOI:
  5. Jorgensen, B. and de Souza, M. C. P. (1994). Fitting Tweedie’s compound Poisson model to insurance claims data. Scandinavian Actuarial Journal, 1994(1), 69-93. DOI:
  6. Jong, P. D. and Heller, G.Z. (2008). Generalized Linear Models for Insurance Data. Cambridge University Press. New York. DOI:
  7. Montgomery, C. Douglas, Peck, E. A. and Vining, G. G. (2012). Introduction to Linear Regression Analysis 5th ed. John Wiley & Sons, Inc. New Jersey.
  8. Quijano-Xacur, O. A. and Garrido, J. (2015). Generalised linear models for aggregate claims: to Tweedie or not?. European Actuarial Journal, 5, 181-202. DOI:
  9. Shi, P., Feng, X. and Ivantsova. A. (2015). Dependent frequency-severity modeling of insurance claims. Insurance: Mathematics and Economics, 64(C), 417-428. DOI:

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