HyperbolicDistribution {HyperbolicDist} | R Documentation |
This library provides a collection of functions for working with
the hyperbolic distribution. Included are the
density function, distribution function, quantiles,
random number generation and fitting the hyperbolic distribution
to data (fit.hyperb
). The function hyperb.change.pars
will interchange parameter values between different parameterisations.
The mean, variance and mode of a given hyperbolic distribution are
given by hyperb.mean
, hyperb.var
, and hyperb.mode
respectively. For assessing the fit of the hyperbolic distribution to
a set of data, the log-histogram is useful. See log.hist
.
A number of students have worked on the package: Ai-Wei Lee, Jennifer Tso, and Richard Trendall.
Thanks to Ross Ihaka and Paul Murrell for their willingness to answer my questions, and to all the core group for the development of R.
This library and its documentation are usable under the terms of the "GNU General Public License", a copy of which is distributed with the package.
David Scott d.scott@auckland.ac.nz
Barndorff-Nielsen, O. (1977) Exponentially decreasing distributions for the logarithm of particle size, Proc. Roy. Soc. Lond., A353, 401–419.
Barndorff-Nielsen, O. and Blaesild, P (1983). Hyperbolic distributions. In Encyclopedia of Statistical Sciences, eds., Johnson, N. L., Kotz, S. and Read, C. B., Vol. 3, pp. 700–707. New York: Wiley.
Fieller, N. J., Flenley, E. C. and Olbricht, W. (1992) Statistics of particle size data. Appl. Statist., 41, 127–146.
dhyperb
, fit.hyperb
,
log.hist
, hyperb.change.pars
, and
hyperb.mean
.