piecewise_xy

Given the vectors <code>(breaks[1],...,breaks[n])</code> and the list of <code>IBMPopSim</code> compatible
functions <code>funs = (f[0],f[1],...,f[n])</code> (one value more!), <code>piecewise_xy(breaks, funs)</code> returns
the function
$$f(x,y) = f_0(x) {1}_{y\le breaks[1]}+\sum_{k=1}^{n-1} f_k(x) {1}_{[breaks_{k}, breaks_{k+1})}(y) + f_n(x){1}_{y \ge breaks[n]}$$

Simulation of the random evolution of heterogeneous populations using stochastic Individual-Based Models (IBMs) <doi:10.48550/arXiv.2303.06183>.
The package enables users to simulate population evolution, in which individuals are characterized by their age and some characteristics, and the population is modified by different types of events, including births/arrivals, death/exit events, or changes of characteristics. The frequency at which an event can occur to an individual can depend on their age and characteristics, but also on the characteristics of other individuals (interactions).
Such models have a wide range of applications. For instance, IBMs can be used for simulating the evolution of a heterogeneous insurance portfolio with selection or for validating mortality forecasts.
This package overcomes the limitations of time-consuming IBMs simulations by implementing new efficient algorithms based on thinning methods, which are compiled using the 'Rcpp' package while providing a user-friendly interface.

Daphnc3<a9> Giorgi

IBMPopSim

Individual Based Model Population Simulation

Daphné Giorgi

Sarah Kaakai

Vincent Lemaire

piecewise_xy function

<dl><dt>breaks</dt>
<dd>Numeric vector giving the breaks of functions given in <code>funs</code>. Must be sorted with unique values.</dd>
<dt>funs</dt>
<dd>List of functions.</dd></dl>

Arguments

Piecewise real function of two variables. — piecewise_xy

<dl>

<dt>breaks</dt>
<dd>Numeric vector giving the breaks of functions given in <code>funs</code>. Must be sorted with unique values.</dd>


<dt>funs</dt>
<dd>List of functions.</dd>

</dl>

piecewise_xy: Piecewise real function of two variables.

Description

Usage

Value

Arguments

Details

Examples