A semi-Markov model of disease recurrence in insured dogs

A semi-Markov model of disease recurrence in insured dogs

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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: , ,
Keywords: markov processes, stochastic processes
Abstract:

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.

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