MixBetaDens: Mixture of Beta Functions

In oclust: Gaussian Model-Based Clustering with Outliers

Mixture of Beta Functions

Description

MixBetaDens generates the pdf and cdf of a mixture of beta functions, and calculates the area under the graph between two points.

Usage

MixBetaDens(
  n,
  p,
  x = seq(0, 15, by = 0.01),
  a = 0,
  b = 1,
  n_g = n_g,
  var = var
)

Arguments

n	The number of observations in the dataset
p	The dimension
x	A vector of x values to evaluate. Default value is seq(0, 15, by=0.01)
a	Lower bound for area evaluation. Default value is 0
b	Upper bound for area evaluation. Default value is 1
n_g	Vector describing the number of observations in each cluster
var	A list of cluster variance matrices

Details

The domain for this function is not [0,1] as is typical with a beta function. The domain encompasses the shifted log-likelihoods generated in oclust.

Value

MixBetaDens returns a list with

pdf	The probability density at each x value
cdf	The cumulative density at each x value
area	The area under the pdf graph between a and b

oclust documentation built on Dec. 28, 2022, 2 a.m.