sumvalpr: Sum of a geometric series

In ibr: Iterative Bias Reduction

Sum of a geometric series

Description

Calculates the sum of the first (k+1) terms of a geometric series with initial term 1 and common ratio equal to valpr (lower or equal to 1).

Usage

sumvalpr(k,n,valpr,index1,index0)

Arguments

k	The number of terms minus 1.
n	The length of valpr.
valpr	Vector of common ratio in decreasing order.
index1	The index of the last common ratio equal to 1.
index0	The index of the first common ratio equal to 0.

Value

Returns the vector of the sums of the first (k+1) terms of the geometric series.

Author(s)

Pierre-Andre Cornillon, Nicolas Hengartner and Eric Matzner-Lober.

References

Cornillon, P.-A.; Hengartner, N.; Jegou, N. and Matzner-Lober, E. (2012) Iterative bias reduction: a comparative study. Statistics and Computing, 23, 777-791.

Cornillon, P.-A.; Hengartner, N. and Matzner-Lober, E. (2013) Recursive bias estimation for multivariate regression smoothers Recursive bias estimation for multivariate regression smoothers. ESAIM: Probability and Statistics, 18, 483-502.

Cornillon, P.-A.; Hengartner, N. and Matzner-Lober, E. (2017) Iterative Bias Reduction Multivariate Smoothing in R: The ibr Package. Journal of Statistical Software, 77, 1–26.

See Also

ibr

ibr documentation built on Sept. 13, 2023, 5:08 p.m.