densityExpressions: Distributions formulas for OBRE

In OBRE: Optimal B-Robust Estimator Tools

Distributions formulas for OBRE

Description

Function containing expressions of density and cumulative functions, plus the first and second derivatives.

Usage

densityExpressions(strDistribution = "normal", eDensityFun = NA)

Arguments

strDistribution	Distribution input between "normal" (Normal distribution), "logNormal" (logNormal distribution), "weibull" (Weibull distribution), "logLogistic" (logLogistic distribution), "gpd2" (Generalized Pareto Distribution with two parameters) or "custom" if the distribution is written by the user.
eDensityFun	The density of a two parameters distribution. This should be an expression object, the two parameters should be called "nTheta1" and "nTheta2", the data "nvData" and its formula should be derivable

Value

Returns list containing all the symbolic functions.

Examples

# Generates the Normal distribution input for OBRE
distrForOBRE <- densityExpressions(strDistribution = "normal")
# The same result can be generated by inserting manually the formula
distrForOBRE <- densityExpressions(strDistribution = "custom",
eDensityFun = expression((exp( -((nvData - nTheta1)^2) / (2 * nTheta2^2)) /
(sqrt(2 * pi) * nTheta2))))

OBRE documentation built on July 9, 2023, 5:53 p.m.