# Class "kernsm"

### Description

This class refers to objects created by function kernsm. These objects contain

### Objects from the Class

Objects can be created by calls of the form ```
new("kernsm", ...). they are usually
created by a call to function{kernsm}
```

.

### Slots

`.Data`

:Object of class

`"list"`

, usually empty.`y`

:Object of class

`"array"`

containing the response in nonparametric regression. The design is assumed to be a 1D, 2D or 3D grid, with dimensionality determined by`dim(y)`

.`dy`

:Object of class

`"numeric"`

containing dim(y).`x`

:Object of class

`"numeric"`

currently not used.`h`

:Object of class

`"numeric"`

containing the bandwidth employed.`kern`

:Object of class

`"character"`

determining the kernel that was used, can be one of`c("Gaussian","Uniform","Triangle","Epanechnikov","Biweight","Triweight")`

`m`

:Object of class

`"integer"`

with length`length(dy)`

determining the order of derivatives in the corresponding coordinate directions. If`m[i6>0]`

a dirivative kernel derived from`kern`

has been used for the corresponding coordinate direction.`nsector`

:Object of class

`"integer"`

. If`nsector>1`

positive weights are restricted to a segment of a circle (1D or 2D only). The segment is given by`sector`

.`sector`

:Object of class

`"integer"`

containing the number of the segment used in case of`nsector>1`

`symmetric`

:Object of class

`"logical"`

determines if the sector is mirrored at the origin.`yhat`

:Object of class

`"array"`

with same size and dimension as`y`

providing the convolution of`y`

with the chosen kernel.`vred`

:Object of class

`"array"`

Variance reduction achieved by convolution assuming independence.`call`

:Object of class

`"function"`

, call that created the object.

### Methods

- extract
`signature(x = "aws")`

: ...- risk
`signature(y = "aws")`

: ...- plot
Method for Function ‘plot’ in Package ‘aws’.

- show
Method for Function ‘show’ in Package ‘aws’.

Method for Function ‘print’ in Package ‘aws’.

- summary
Method for Function ‘summary’ in Package ‘aws’.

### Author(s)

J\"org Polzehl polzehl@wias-berlin.de

### See Also

`kernsm`

,
`ICIsmooth`

,
`ICIcombined`

,
`ICIsmooth`

### Examples

1 | ```
showClass("kernsm")
``` |