qpearson7: Evaluate the quantile function for the Pearson VII...

In pearson7: Maximum Likelihood Inference for the Pearson VII Distribution with Shape Parameter 3/2

Description

Evaluate the quantile function for the Pearson VII distribution with shape parameter 3/2.

Usage

qpearson7(p, mu = 0, sigma = 1, lower.tail = TRUE, log.p = FALSE)

Arguments

p	vector of probabilities.
mu	vector of means.
sigma	vector of scales.
lower.tail	logical; if TRUE (default), probabilities are P(X≤ x), otherwise P(X>x).
log.p	logical; if TRUE, probabilities p are given as log(p).

Details

If mu is not specified, it assumes the default value of 0. If sigma is not specified, it assumes the default value of 1.

The Pearson VII distribution with location μ, scale σ, and shape 3/2 has quantile function

F^{-1}(x)=μ+(σ/2)(2x-1)/√{x(1-x)}.

Value

the quantile.

References

Hughes, J., Shastry, S., Hancock, W. O., and Fricks, J. (2013) Estimating velocity for processive motor proteins with random detachment. Journal of Agricultural, Biological, and Environmental Statistics, in press.

See Also

dpearson7, ppearson7, rpearson7

Examples

curve(qpearson7(x), 0, 1, lwd = 2, ylab = expression(F^{-1}*(x)))
curve(qnorm(x), lwd = 2, lty = 2, n = 500, add = TRUE)

pearson7 documentation built on July 2, 2020, 3:59 a.m.