degrossData.object {degross} | R Documentation |

## Object generated from grouped summary statistics, including tabulated frequencies and central moments of order 1 up to 4, to estimate the underlying density using `degross`

.

### Description

An object returned by the `degrossData`

function from tabulated frequencies and central moments of order 1 up to 4. It is used in a second step by `degross`

to estimate the underlying density.

### Value

A list containing :

`small.bins`

:` `

a vector of length`I+1`

with the small bin limits.`ui`

:` `

the`I`

midpoints of the small bins.`delta`

:` `

width of the small bins.`I`

:` `

the number of small bins.`B.i`

:` `

a matrix of dim`I`

by`K`

with the B-spline basis evaluated at the small bin midpoints.`K`

:` `

number of B-splines in the basis.`knots`

:` `

equidistant knots supporting the B-splines basis.`Big.bins`

:` `

vector of length`J+1`

with the limits of the`J`

big bins containing the data used to produce the tabulated statistics.`freq.j`

:` `

the number of data observed within each big bin.`m.j`

:` `

a matrix of dim`J`

by 4 giving the first 4 sample central moments within each big bin.`J`

:` `

the number of big bins.`small.to.big`

:` `

a vector of length`I`

indicating to what big bin each element of`ui`

belongs.

### Author(s)

Philippe Lambert p.lambert@uliege.be

### References

Lambert, P. (2021) Moment-based density and risk estimation from grouped summary statistics. arXiv:2107.03883.

### See Also

`degrossData`

, `print.degrossData`

*degross*version 0.9.0 Index]