# sumry: A brief summary of the results

Description Usage Arguments Value Author(s) References Examples

### 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

 1 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

 1 2 3 4 5 6 ## 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") 

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