birdring (version 1.2)

overlap: Overlap between the prior and posterior distribution

Description

Gives the overlap of two distributions (such as a prior and a posterior distribution) based on one sample of simulated values from each distribution

Usage

overlap(posterior, prior, from = 0, to = 1, nsim = 1e+05)

Arguments

posterior

A numeric vector, a sample of simulated random values from the posterior distribution

prior

A numeric vector, a sample of simulated random values from the prior distribution

from

Lower limit of the parameter space over which the posterior and prior distributions are compared.

to

Upper limit of the parameter space over which the posterior and prior distributions are compared.

nsim

Number of simulated values used for the Monte Carlo simulation to measure the overlap.

Value

• a numeric value which is the proportion of the overlap of the posterior with the prior distribution.

Details

The function first uses the function density to obtain density functions of the prior and posterior distributions and then the overlap is measured by a Monte Carlo simulation.

References

Gimenez, O., S. P. Brooks, et al. (2009). Weak identiability in models for mark-recapture-recovery data. Modelling Demographic Processes in Marked Populations. Series: Environmental and Ecological Statistics. D. L. Thomson, E. G. Cooch and M. J. Conroy.

See Also

density

Examples

prior <- rbeta(2000, 1,1)
posterior <- rbeta(2000, 14, 35)
overlap(posterior, prior)