HyperbolicDistribution {HyperbolicDist}R Documentation

The Library 'HyperbolicDist': Summary Information

Description

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.

Acknowledgements

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.

LICENCE

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.

Author(s)

David Scott d.scott@auckland.ac.nz

References

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.

See Also

dhyperb, fit.hyperb, log.hist, hyperb.change.pars, and hyperb.mean.


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