Description Usage Arguments Details Value Author(s) References See Also Examples

View source: R/MortSmooth_bbase.R

This is an internal function of package `MortalitySmooth`

which
creates equally-spaced B-splines basis over an abscissa of data within
the function `Mort1Dsmooth`

.

1 | ```
MortSmooth_bbase(x, xl, xr, ndx, deg)
``` |

`x` |
vector for the abscissa of data. |

`xl` |
left boundary. |

`xr` |
right boundary. |

`ndx` |
number of internal knots minus one or number of internal intervals. |

`deg` |
degree of the splines. |

The function reproduce an algorithm presented by Eilers and Marx
(2010) using differences of truncated power functions (see
`MortSmooth_tpower`

). The final matrix has a single
B-spline for each of the [`ndx`

+ `deg`

] columns. The number
of rows is equal to the length of `x`

.

The function differs from `bs`

in the package `splines`

since it automatically constructed B-splines with identical
shape. This would allow a simple interpretation of coefficients and
application of simple differencing.

A matrix containing equally-spaced B-splines of degree `deg`

along `x`

for each column.

Carlo G Camarda

Eilers P. H. C. and B. D. Marx (2010). Splines, Knots, and
Penalties. *Wiley Interdisciplinary Reviews: Computational
Statistics*. 2, 637-653.

1 2 3 4 5 6 7 8 9 | ```
x <- seq(0,1,length=500)
## B-splines basis of degree 1
B1 <- MortSmooth_bbase(x=x, xl=min(x), xr=max(x),
ndx=10, deg=1)
matplot(x, B1, t="l", main="B-splines basis of degree 1")
## B-splines basis of degree 3
B3 <- MortSmooth_bbase(x=x, xl=min(x), xr=max(x),
ndx=10, deg=3)
matplot(x, B3, t="l", main="B-splines basis of degree 3")
``` |

MortalitySmooth documentation built on May 29, 2017, 7:11 p.m.

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