Names and points of nonsmoothness for the 28 distributions from Berlinet/Devroye (1994).
bberdev(dnum = 1)
nberdev(dnum = 1)gives the name of the distribution (the same as name in berdev).
Since evaluation of loss functions
in nonparametric density estimation often requires numerical
integration, bberdev returns a vector of points you should
generally take care not to integrate over, e.g. points where
the density is not continous or not differentiable
(gives the same as breaks in berdev).
number of distribution as in Berlinet/Devroye (1994), Section 3.2.
Thoralf Mildenberger, Henrike Weinert and Sebastian Tiemeyer
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"
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. https://hal.science/hal-03659919
T. Mildenberger and H. Weinert, "The benchden Package: Benchmark Densities for Nonparametric Density Estimation", Journal of Statistical Software, vol. 46(14), 1-14, 2012. https://www.jstatsoft.org/v46/i14/
# name of "Claw"-distribution
nberdev(dnum=23)
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