FunctionalCalibration: an R package for estimation in aggregated functional data model

TL;DR

FunctionalCalibration is an R package designed to estimate individual constituent curves from aggregated functional data using spline or wavelet basis expansion, addressing a common problem in chemometrics and related fields.

Contribution

The package introduces methods for estimating constituent curves from aggregated data within an additive error model, utilizing spline and wavelet basis functions.

Findings

Provides practical tools for estimating individual curves from aggregated data.

Applicable to chemometrics and other fields with similar data structures.

Facilitates analysis of aggregated functional data with additive errors.

Abstract

We consider the statistical problem of estimating constituent curves from observations of their aggregated curves, referred to as aggregated functional data, in models with additive errors. A typical model arises in chemometrics via the Beer-Lambert law. The package FunctionalCalibration provides functions to estimate individual curves from aggregated curves by using splines or wavelet basis expansion.