ploggamma: PDF of Mixture Distribution

In austinragotzy/mathstat: Introduction to Mathematical Statistics R Package

Description

Computes the PDF of the loggamma of the continuous-type random variable X given the following: P(a < x < b) = definite integral from z to b of (f(x)dx) f(x) is the density See Remark 3.7.1 on page 219 of the book.

Usage

ploggamma(x, alpha, beta)

Arguments

x	Vector of quantiles used in pgamma() function. All components are >= 1.
alpha	Shape value used in pgamma() function. Must be positive.
beta	Rate value used in pgamma() function. Cannot be zero.

Value

Distribution function from pgamma() function.

References

Hogg, R. McKean, J. Craig, A (2018) Introduction to Mathematical Statistics, 8th Ed. Boston: Pearson

Examples

# Example where parameters are passed in as variables.
x <- 10
alpha <- 1
beta <- 1
result <- ploggamma(x, alpha, beta)

# Example where parameters are passed in as values.
result <- ploggamma(10, 1, 1)

austinragotzy/mathstat documentation built on May 13, 2019, 11:30 a.m.