TY - JOUR
TI - The mixed negative binomial process risk model with small claims stochastic process and ruin probability
AU - Yuan Hiufang
AU - Xiao Min
JN - Thermal Science
PY - 2025
VL - 29
IS - 3
SP - 2041
EP - 2049
PT - Article
AB - If the random variable changes with time, we can consider it a stochastic  process. The stochastic claims process is particularly important in  insurance, where the frequency of claims is a random variable. Classical  risk models typically assume that the number of claims by insurance  companies follows an (a, b, 0) type distribution. In practice, however, the  number of claims is often an over-dispersed or heavy-tailed phenomenon. To  compensate for this deficiency, mixed distributions have been proposed. This  article discusses the lapse probability of a general compound mixed negative  binomial small claims process risk model based on a negative binomial  mixture distribution.