densplit {delt} R Documentation

## Calculation of an overfitting histogram

### Description

The function returns an overfitting histogram when a data matrix is given as an input. The output is an evaluation tree which is grown with greedy growing. The evaluation tree defines a partition of the sample space. The evaluation tree may be pruned to get a density estimate.

### Usage

```densplit(dendat, minobs=NULL, leaf=0, method="loglik",
splitscan=0, seedf=1, suppo=NULL)
```

### Arguments

 `dendat` n*d data matrix `minobs` non-negative integer; splitting of a bin will be continued if the bin containes "minobs" or more observations `leaf` internal (maximal number of leafs in the evaluation tree) `method` "loglik" or "projec"; the contrast function `splitscan` internal (random selection of splits) `seedf` internal `suppo` 2*d vector of real numbers; the rectangle to be splitted; the rectangle has to contain the data

### Value

Returns an evaluation tree as a list of vectors.

 `direc ` integer in 1,...,d; variable which is splitted `split ` real number; splitting point `mean ` nonnegative number; value of the histogram on the rectangle corresponding to the node `nelem ` nonnegative integer; number of observations in the rectangle corresponding to the node `ssr ` real number; value of the likelihood criterion `volume ` non-negative number; volume of the rectangle corresponding to the node `left ` non-negative integer; link to the left child, 0 if terminal node `right ` non-negative integer; link to the right child, 0 if terminal node `low ` the lower vertice of the rectangles `upp ` the upper vertice of the rectangles `N ` the number of grid points at each direction `support` the support of the histogram

### Author(s)

Jussi Klemela

`prune`, `eval.pick`

### Examples

```dendat<-sim.data(n=200,seed=5,type="mulmodII")
et<-densplit(dendat)

treeseq<-prune(et)
treeseq\$leafs
len<-length(treeseq\$leafs)

leaf<-treeseq\$leafs[len-10]
leaf
etsub<-eval.pick(treeseq,leaf=leaf)

dp<-draw.pcf(etsub)
persp(dp\$x,dp\$y,dp\$z,phi=25,theta=-120)

```

[Package delt version 0.8.0 Index]