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Density, distribution function, quantile function and random
generation for the Fisk distribution with shape parameter a
and scale parameter scale
.
dfisk(x, scale = 1, shape1.a, log = FALSE)
pfisk(q, scale = 1, shape1.a, lower.tail = TRUE, log.p = FALSE)
qfisk(p, scale = 1, shape1.a, lower.tail = TRUE, log.p = FALSE)
rfisk(n, scale = 1, shape1.a)
vector of quantiles.
vector of probabilities.
number of observations.
If length(n) > 1
then the length is taken to be the number required.
shape parameter.
scale parameter.
Logical.
If log = TRUE
then the logarithm of the density is returned.
dfisk
gives the density,
pfisk
gives the distribution function,
qfisk
gives the quantile function, and
rfisk
generates random deviates.
See fisk
, which is the VGAM family function
for estimating the parameters by maximum likelihood estimation.
Kleiber, C. and Kotz, S. (2003) Statistical Size Distributions in Economics and Actuarial Sciences, Hoboken, NJ, USA: Wiley-Interscience.
# NOT RUN {
fdata <- data.frame(y = rfisk(n = 1000, shape = exp(1), scale = exp(2)))
fit <- vglm(y ~ 1, fisk(lss = FALSE), data = fdata, trace = TRUE)
coef(fit, matrix = TRUE)
Coef(fit)
# }
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