Article ID: | iaor20083211 |
Country: | United Kingdom |
Volume: | 23 |
Issue: | 5 |
Start Page Number: | 429 |
End Page Number: | 437 |
Publication Date: | Sep 2007 |
Journal: | Applied Stochastic Models in Business and Industry |
Authors: | Pai Jeffrey S., Wang Xikui, Shand Kevin J. |
Keywords: | markov processes, stochastic processes |
We use a semi-Markov model to analyse the stochastic dynamics of disease occurrence of dogs insured in Canada from 1990 to 1999, and the probability pattern of death from illness. After statistically justifying the use of a stochastic model, we demonstrate that a stationary first-order semi-Markov process is appropriate for analysing the available data set. The probability transition function is estimated and its stationarity is tested statistically. Homogeneity of the semi-Markov model with respect to important covariates (such as geographic location, insurance plan, breed and age) is also statistically examined. We conclude with discussions and implications of our results in veterinary contents.