# cbd: Create a Cairns-Blake-Dowd mortality model In StMoMo: Stochastic Mortality Modelling

## Description

Utility function to initialise a StMoMo object representing a Cairns-Blake-Dowd mortality model.

## Usage

 1 cbd(link = c("logit", "log")) 

## Arguments

 link defines the link function and random component associated with the mortality model. "log" would assume that deaths follow a Poisson distribution and use a log link while "logit" would assume that deaths follow a Binomial distribution and a logit link. Note that the default is the logit link.

## Details

The created model is either a logit-Binomial or a log-Poisson version of the Cairns-Blake-Dowd mortality model which has predictor structure

η_{xt} = κ_t^{(1)} + (x-\bar{x})κ_t^{(2)},

where \bar{x} is the average age in the data.

## Value

An object of class "StMoMo".

## References

Cairns, A. J. G., Blake, D., & Dowd, K. (2006). A Two-Factor Model for Stochastic Mortality with Parameter Uncertainty: Theory and Calibration. Journal of Risk and Insurance, 73(4), 687-718.

StMoMo, central2initial, m6, m7, m8
 1 2 3 CBD <- cbd() CBDfit <- fit(CBD, data = central2initial(EWMaleData), ages.fit = 55:89) plot(CBDfit, parametricbx = FALSE)