The Stochastic SIR Household Epidemics With TI ≡ 4:1 and TI Having GAMMA(a, b) Infectious Period Distribution
Abstract
Model estimates, their functions are in no doubt affected by wrong choice of the infectious period distribution, TI when the actual one is unknown. This is a misspecification problem which is often accompanied with biased and imprecise estimates. This work does not com- pletely examined this problem but explored the choice of constant infectious period, TI ≡ 4.1 and TI distributed as Γ(2, 2.05) for the household epidemic and then examined their effects on the behaviours of the model functions and quality of its maximum likelihood estimates in order to see if there are considerable disparities in the maximum likelihood estimates and behaviours of the functions giving these scenarios and whether constant infectious period is a reasonable assumption for the stochastic SIR household epidemic.
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