berdev {benchden} | R Documentation |

Name, position of modes, support and points of nonsmoothness for the 28 distributions from Berlinet/Devroye (1994).

berdev(dnum = 1)

`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"

`berdev`

returns a list with components

`name` |
gives the name of the distribution, |

`peaks` |
gives a vector of the positions of peaks or modes of the density, and |

`support` |
gives a matrix as follows: in each row an interval is defined (with the first column giving the left and the second column the right end of the interval). Together the intervals give the support of the distribution (for most distributions only one interval). |

`breaks` |
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/

# position of peaks of "Claw"-distribution berdev(dnum=23)$peaks # support of the "Trimodal uniform" berdev(dnum=26)$support

[Package *benchden* version 1.0.5 Index]