pmixt {gendist}

Cumulative distribution function of mixture model.

Description

Computes cdf of the mixture model.

Usage

pmixt(q, phi, spec1, arg1, spec2, arg2, lower.tail = TRUE, log.p = FALSE)

Arguments

q

scalar or vector of values to compute the cdf.

phi

the value of \phi parameter, \phi>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.

lower.tail

logical; if TRUE, cdf are returned, otherwise 1-cdf.

log.p

logical; if TRUE, probabilities returned are given as log(cdf).

Details

The cdf of mixture model has a general form of:

F(x) = \\frac{1}{1+\phi} \left(G_{1}(x) + \phi G_{2}(x) \right)

where x follows the support of parent distributions, \phi is the weight component and G_{i}(x) for i=1,2 are the cdfs of first and second parent distributions, respectively.

Value

An object of the same length as q, giving the cdf values computed at q.

Author(s)

Shaiful Anuar Abu Bakar

References

Abu Bakar, S. A., Nadarajah, S., Adzhar, Z. A. A. K., & Mohamed, I. (2016). gendist: An R package for generated probability distribution models. PloS one, 11(6).
Pearson, K. (1894). Contributions to the mathematical theory of evolution. Philosophical Transactions of the Royal Society of London. A, 71-110.

Examples

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