discrete_optimal

Implementation of Discrete Symmetric Optimal Kernel for estimating count data distributions, as described by T. Senga Kiessé and G. Durrieu (2024) <doi:10.1016/j.spl.2024.110078>.The nonparametric estimator using the discrete symmetric optimal kernel was illustrated on simulated data sets and a real-word data set included in the package, in comparison with two other discrete symmetric kernels.

Thomas Fillon

kernopt

Estimating Count Data Distributions with Discrete Optimal
Symmetric Kernel

Tristan Senga Kiesse

Gilles Durrieu

INRAE, Institut Agro, CNRS - UMR SAS 

Université de Bretagne Sud, CNRS - UMR 6205 LMBA 

discrete_optimal function

<dl><dt>x</dt>
<dd>the target point at which the density is calculated</dd>
<dt>z</dt>
<dd>the vector of observations</dd>
<dt>h</dt>
<dd>the bandwidth (or smoothing parameter), which should match the
condition (3 / 5) * (1 - 1 / k)) &lt; h &lt; 1</dd>
<dt>k</dt>
<dd>the integer (positive) parameter that defined the support of
the kernel function</dd></dl>

Arguments

Discrete optimal kernel — discrete_optimal

<dl>

<dt>x</dt>
<dd>the target point at which the density is calculated</dd>


<dt>z</dt>
<dd>the vector of observations</dd>


<dt>h</dt>
<dd>the bandwidth (or smoothing parameter), which should match the
condition (3 / 5) * (1 - 1 / k)) &lt; h &lt; 1</dd>


<dt>k</dt>
<dd>the integer (positive) parameter that defined the support of
the kernel function</dd>

</dl>

Discrete optimal kernel

discrete_optimal: Discrete optimal kernel

Description

Usage

Value

Arguments

Examples