Introduction

Compound Distribution Models

The HPCDM procedure computes an estimate of the compound distribution model, given the distributions of the parameters. For example, PROC HPCDM can estimate the distribution of the aggregate loss during a time period of interest, given the distribution models of the frequency (count) and of the severity of loss.

The HPCDM procedure includes the following features:

  • accepts severity models estimated by the SEVERITY procedure and frequency models estimated by the COUNTREG procedure

  • scenario analysis with regression effects

  • group scenario analysis with classification and interaction effects

  • support for externally simulated counts

  • parameter perturbation analysis that assesses the effect of parameter uncertainty associated with frequency and severity models

  • ability to compute the distribution of aggregate adjusted loss

Last updated: June 19, 2025