Description Usage Arguments Details Value Author(s) References Examples

Names and points of nonsmoothness for the 28 distributions from Berlinet/Devroye (1994).

1 2 |

`dnum` |
number of distribution as in Berlinet/Devroye (1994), Section 3.2. |

These functions implement the 28 distributions from Berlinet and Devroye (1994), Section 3.2, which are:

`dnum == 1`

"uniform" on [0,1] as in stats-package

`dnum == 2`

"exponential" as in stats-package

`dnum == 3`

"Maxwell"

`dnum == 4`

"double exponential"

`dnum == 5`

"logistic" as in stats-package

`dnum == 6`

"Cauchy" as in stats-package

`dnum == 7`

"extreme value"

`dnum == 8`

"infinite peak"

`dnum == 9`

"Pareto"

`dnum == 10`

"symmetric Pareto"

`dnum == 11`

"normal" as in stats-package

`dnum == 12`

"lognormal"

`dnum == 13`

"uniform scale mixture"

`dnum == 14`

"Matterhorn"

`dnum == 15`

"logarithmic peak"

`dnum == 16`

"isosceles triangle"

`dnum == 17`

"beta 2,2" as in stats-package

`dnum == 18`

"chi-square 1" as in stats-package

`dnum == 19`

"normal cubed"

`dnum == 20`

"inverse exponential"

`dnum == 21`

"Marronite"

`dnum == 22`

"skewed bimodal"

`dnum == 23`

"claw"

`dnum == 24`

"smooth comb"

`dnum == 25`

"caliper"

`dnum == 26`

"trimodal uniform"

`dnum == 27`

"sawtooth"

`dnum == 28`

"bilogarithmic peak"

`nberdev` |
gives the name of the distribution (the same as |

`bberdev` |
Since evaluation of loss functions
in nonparametric density estimation often requires numerical
integration, |

Thoralf Mildenberger, Henrike Weinert and Sebastian Tiemeyer

A. Berlinet and L. Devroye, "A comparison of kernel density estimates", Publications de l'Institut de Statistique de l'Universite de Paris, vol. 38(3), pp. 3-59, 1994. http://cg.scs.carleton.ca/~luc/devs.html

T. Mildenberger and H. Weinert, "The benchden Package: Benchmark Densities for Nonparametric Density Estimation", Journal of Statistical Software, vol. 46(14), 1-14, 2012. http://www.jstatsoft.org/v46/i14/

1 2 | ```
# name of "Claw"-distribution
nberdev(dnum=23)
``` |

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