# dmixt: Probabilty density function of mixture model. In gendist: Generated Probability Distribution Models

## Description

Computes pdf of the mixture model.

## Usage

 1 dmixt(x, phi, spec1, arg1, spec2, arg2, log = FALSE) 

## Arguments

 x scalar or vector of values to compute the pdf. phi the value of φ parameter, φ>0. spec1 a character string specifying the first parent distribution (for example, "lnorm" if the parent distribution corresponds to the lognormal). arg1 list of arguments/parameters of the first parent distribution. spec2 a character string specifying the second parent distribution (for example, "exp" if the parent distribution corresponds to the exponential). arg2 list of arguments/parameters of the second parent distribution. log logical; if TRUE, log(pdf) are returned.

## Details

The pdf of mixture model with parameter phi has a general form of:

f(x) = \frac{1}{1+φ} ≤ft( g_{1}(x) + φ g_{2}(x)\right)

where x follows the support of parent distributions, φ is the weight component and g_{i}(x) for i=1,2 are the pdfs of first and second parent distributions, respectively.

## Value

An object of the same length as x, giving the pdf values computed at x.

## Author(s)

Shaiful Anuar Abu Bakar

## References

S.A. Abu Bakar, S. Nadarajah, Z.A. ABSL Kamarul Adzhar, I. Mohamed. gendist: An R package for generated probability distribution models, submitted.
Pearson, K. (1894). Contributions to the mathematical theory of evolution. Philosophical Transactions of the Royal Society of London. A, 71-110.

## Examples

 1 2 3 x=runif(10, min=0, max=1) y=dmixt(x, phi=0.5, spec1="lnorm", arg1=list(meanlog=1,sdlog=2), spec2="exp", arg2=list(rate=2) ) 

gendist documentation built on May 30, 2017, 12:32 a.m.