On the Importance of Dispersion Modelling for Claims Reserving: Application of the Double Glm Theory

نویسندگان

  • Jean-Philippe Boucher
  • Danäıl Davidov
چکیده

The claims reserves analysis is performed using a Tweedie distribution. Since the aggregate cost per cell of a run-off triangle is generated by a compound distribution, we show that modelling of the variance is important. Dispersion modelling, as well as double GLM theory are not only used to predict the total amount of reserves, but also the mean square error of prediction of the reserves. A numerical illustration, based on a real run-off triangle, is included to support this discussion.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Application of the Bankruptcy Theory and Conflicting Claims on Water Resources Allocation of Zayanderud

Solving the Water conflict and optimal allocation of common water resources are the most important service of cooperative game theory to water economics. Zayandehrud basin is the most important disputed basin in several neighboring provinces in the first class basin of Iran's central plateau. The purpose of this research is to use the game theory with application of Bankruptcy approach (conflic...

متن کامل

Modelling of Crack Growth Using a New Fracture Criteria Based Peridynamics

Peridynamics (PD) is a nonlocal continuum theory based on integro-differential equations without spatial derivatives. The elongation fracture criterion is implicitly incorporated in the PD theory, and fracture is a natural outcome of the simulation. On the other hand, a new fracture criterion based on the crack opening displacement combined with peridynamic (PD-COD) is proposed. When the relati...

متن کامل

Fitting Tweedie's Compound Poisson Model to Insurance Claims Data: Dispersion Modelling

We reconsider the problem of producing fair and accurate tariffs based on aggregated insurance data giving numbers of claims and total costs for the claims. Jorgensen and de Souza (Scand. Actuarial J., 1994) assumed Poisson arrival of claims and gamma distributed costs for individual claims. Jorgensen and de Souza (1994) directly modelled the risk or expected cost of claims per insured unit, p ...

متن کامل

Application of Stochastic Optimal Control, Game Theory and Information Fusion for Cyber Defense Modelling

The present paper addresses an effective cyber defense model by applying information fusion based game theoretical approaches‎. ‎In the present paper, we are trying to improve previous models by applying stochastic optimal control and robust optimization techniques‎. ‎Jump processes are applied to model different and complex situations in cyber games‎. ‎Applying jump processes we propose some m...

متن کامل

APPLICATION OF THE RANDOM MATRIX THEORY ON THE CROSS-CORRELATION OF STOCK ‎PRICES

The analysis of cross-correlations is extensively applied for understanding of interconnections in stock markets. Variety of methods are used in order to search stock cross-correlations including the Random Matrix Theory (RMT), the Principal Component Analysis (PCA) and the Hierachical ‎Structures.‎ In ‎this work‎, we analyze cross-crrelations between price fluctuations of 20 ‎company ‎stocks‎...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2009