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pkmon (version 1.1)

Least-Squares Estimator under k-Monotony Constraint for Discrete Functions

Description

We implement two least-squares estimators under k-monotony constraint using a method based on the Support Reduction Algorithm from Groeneboom et al (2008) . The first one is a projection estimator on the set of k-monotone discrete functions. The second one is a projection on the set of k-monotone discrete probabilities. This package provides functions to generate samples from the spline basis from Lefevre and Loisel (2013) , and from mixtures of splines.

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Version

Install

install.packages('pkmon')

Monthly Downloads

171

Version

1.1

License

CC BY 4.0

Maintainer

Francois Deslandes

Last Published

August 28th, 2023

Functions in pkmon (1.1)

pkmon-package

Least-squares estimator under k-monotony constraint for discrete functions
BaseNorm

Normalized spline basis
Delta

Discrete laplacian
kKnot

k-Knot
Spline

Random generation and distribution function of k-monotone densities
pEmp

Empirical estimator of a discrete function
estMonotone

Estimators of discrete probabilities under k-monotony constraint