dlogF: Density of Log Distribution

In austinragotzy/mathstat: Introduction to Mathematical Statistics R Package

Description

Computes the probability density function (PDF) of a log F random variable. The PDF is given in expression 1.7.9 on page 52 of the book.

Usage

dlogF(x)

Arguments

x	Real number (or vector of numbers) where -inf < x < inf. In R, these limits are determined by data limitations. Thus we get the following piecewise function, { 0, x <= -746 dlogF(x) = { pdf, -745 <= x <= 589 { 0, 590 <= x <= 709 { NaN, x >= 710

Value

PDF (single value or vector based on input) of X.

References

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

Examples

pdf <- dlogF(0)
pdf <- dlogF(589)
pdf <- dlogF(3.14159)

# Example where input is a vector of numbers to be passed into function.
# Each number in this input vector is evaluated independently.
v <- c(1, 2, 3, 4, 5, 10, 20.5)
pdf_vec <- dlogF(v)

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