bberdev {benchden} | R Documentation |
Names and points of nonsmoothness for the 28 distributions from Berlinet/Devroye (1994).
bberdev(dnum = 1) nberdev(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"
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/
# name of "Claw"-distribution nberdev(dnum=23)