dtgiw (version 1.0.0)

pDTGIW: The cumulative distribution function (CDF) for Discrete Transmuted Generalized Inverse Weibull (DTGIW) distribution.

Description

This function calculated the CDF of the DTGIW distribution.

Usage

pDTGIW(q, alpha, beta, lambda, theta, lower.tail = TRUE, log.p = FALSE)

Arguments

q

vector of quantiles.

alpha

shape parameter#1.

beta

scale parameter.

lambda

shape pameter#2.

theta

the transmuted parameter.

lower.tail

logical; if TRUE (default), probabilities are Prob of X less than or equal to x. Otherwise, Prob of X greater than x.

log.p

logical(TRUE or FALSE); if log.p=FALSE, then return the CDF; if log.p=TRUE, then return the natural logarithms of the CDF.

Value

the cdf of DTGIW distribution

Details

The PMF of DTGIW distribution is shown in Theorem 1. based on the research paper in references. For discrete random variables, the CDF of DTGIW distribution can be calculated by summation of the PMF.

References

Atchanut Rattanalertnusorn and Sirinapa Aryuyuen (2021). The zero-truncated discrete transmuted generalized inverse Weibull distribution and its applications, Songklanakarin Journal of Science and Technology (SJST), Volume 43 No.4 (July - August 2021), pp. 1140 - 1151. DOI: 10.14456/sjst-psu.2021.149

Examples

# NOT RUN {
x <- c(0:10)
pDTGIW(x,3.45,0.7,1.05,0)

# }