EPPMprob

Calculates a vector of probabilities given a vector of rates using the matrix 
exponential function from Maechler, Dutang, Goulet, Bates, Firth (2023).

 distribution

Under- and over-dispersed binary data are modeled using an extended Poisson
process model (EPPM) appropriate for binary data. A feature of the model is that the
under-dispersion relative to the binomial distribution only needs to be greater than
zero, but the over-dispersion is restricted compared to other distributional models
such as the beta and correlated binomials. Because of this, the examples focus on
under-dispersed data and how, in combination with the beta or correlated distributions,
flexible models can be fitted to data displaying both under- and over-dispersion. Using
Generalized Linear Model (GLM) terminology, the functions utilize linear predictors for
the probability of success and scale-factor with various link functions for p, and log
link for scale-factor, to fit a variety of models relevant to areas such as bioassay.
Details of the EPPM are in Faddy and Smith (2012) <doi:10.1002/bimj.201100214> and
Smith and Faddy (2019) <doi:10.18637/jss.v090.i08>.

David Smith

BinaryEPPM

Mean and Scale-Factor Modeling of Under- And Over-Dispersed
Binary Data

EPPMprob function

<dl> <dt>vlambda</dt>
<dd>a vector of rates of an extended Poisson process.</dd></dl>

Arguments

David M. Smith &lt;dmccsmith@verizon.net&gt;

Author

Calculation of vector of probabilities for a extended Poisson process model (EPPM). — EPPMprob

<dl>

 <dt>vlambda</dt>
<dd>a vector of rates of an extended Poisson process.</dd>

</dl>

EPPMprob: Calculation of vector of probabilities for a extended Poisson process model (EPPM).

Description

Usage

Value

Arguments

Author

Details

References