An insurance company is modelling claim numbers on its portfolio of motor insurance policies using a...
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An insurance company is modelling claim numbers on its portfolio of motor insurance policies using a Poisson distribution, whose mean depends on the age and gender of the policyholder. (i) Suggest a link function for fitting a generalised linear model for the mean of the Poisson distribution. (ii) Specify the corresponding linear predictor used for modelling the age and gender dependence as: (a) age + gender (b) age + gender + age. gender An insurance company is modelling claim numbers on its portfolio of motor insurance policies using a Poisson distribution, whose mean depends on the age and gender of the policyholder. (i) Suggest a link function for fitting a generalised linear model for the mean of the Poisson distribution. (ii) Specify the corresponding linear predictor used for modelling the age and gender dependence as: (a) age + gender (b) age + gender + age. gender
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