sumry: A brief summary of the results

In Disake: Discrete associated kernel estimators

Description

For a given data sample, the function gives a summary of the results of five computed values: p.m.f. f_0, estimated values \tilde{f}_n, ISE_0, normalizing constant C_n and smoothing parameter h; see Kokonendji and Senga Kiessé (2011), and also Zougab et al. (2012).

Usage

sumry(Vec,type_bw, ker = "bino", h = NULL,  a = 1, c = 2)

Arguments

Vec	The data sample.
ker	The kernel function: "dirDU" DiracDU,"bino" Binomial, "triang" Discrete Triangular.
h	The bandwidth or smoothing parameter. If NULL,it is calculated depending on the value of type_bw.
type_bw	The technique of bandwidth selection: Bayesian or cross-validation.
a	The arm in the Discrete Triangular kernel.
c	The number of categories in DiracDU.

Value

Returns a list containing:

n	The number of observations.
support_of_f_n	The support of the p.m.f. fn.
f_0	The couples (x,f0(x)).
f_n	The couples (x,fn(x)).
ISE_0	The integrated square error.
C_n	The normalizing constant.
h	The bandwith parameter used to compute fn.

Author(s)

W. E. Wansouwé, C. C. Kokonendji and D. T. Kolyang

References

Kokonendji, C.C. and Senga Kiessé, T. (2011). Discrete associated kernel method and extensions, Statistical Methodology 8, 497 - 516.

Zougab, N., Adjabi, S. and Kokonendji, C.C. (2012). Binomial kernel and Bayes local bandwidth in discrete functions estimation. Journal of Nonparametric Statistics 24, 783 - 795.

Examples

## A sample data with n=60.
V<-c(10,0,1,0,4,0,6,0,0,0,1,1,1,2,4,4,5,6,6,6,6,7,1,7,0,7,7,
7,8,0,8,12,8,8,9,9,0,9,9,10,10,10,10,0,10,10,11,12,12,10,12,12,
13,14,15,16,16,17,0,12)

sumry(V,type_bw="CV")

Disake documentation built on May 29, 2017, 8:37 p.m.