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VGAM (version 1.1-13)

Hurea: The Husler-Reiss Angular Surface Distribution

Description

Density for the Husler-Reiss angular surface distribution.

Usage

dhurea(x, shape, log = FALSE)

Value

dhurea gives the density.

Arguments

x

Same as Uniform.

shape

the positive (shape) parameter. It is often called lambda and it might not be a shape parameter at all.

log

Logical. If log = TRUE then the logarithm of the density is returned.

Author

T. W. Yee

Warning

The cases x == 0, x == 1, shape == 0 and shape == Inf may not be handled correctly.

Details

See hurea, the VGAM family function for estimating the (shape) parameter s by maximum likelihood estimation, for the formula of the probability density function.

See Also

hurea.

Examples

Run this code
integrate(dhurea, 0, 1, shape = 0.20)  # Incorrect
integrate(dhurea, 0, 1, shape = 0.35)  # struggling but okay
if (FALSE) x <- seq(0, 1, length = 501)
par(mfrow = c(2, 2))
plot(x, dhurea(x, 0.7), col = "blue", type = "l")
plot(x, dhurea(x, 1.1), col = "blue", type = "l")
plot(x, dhurea(x, 1.4), col = "blue", type = "l")
plot(x, dhurea(x, 3.0), col = "blue", type = "l")

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