intData-class: Interval Data Class

In AIDA: Analysis of Interval DAta

Interval Data Class

Description

A class to represent interval data.

Slots

Centers

A data frame of centers of the intervals.

Ranges

A data frame of ranges of the intervals.

LatentParam

A list with the parameters of the latent variables' distribution defined according to the LatentCase:

• "U_id_symmetric": The latent variables are identically distributed and symmetric, so its parameters are:

  • \delta=\mathbb{E}(U^2)/4

• "U_id": The latent variables are identically distributed, so its parameters are:

  • \delta=\mathbb{E}(U^2)/4

  • \mathbb{E}(U)

• "General": The latent variables do not have any nice properties, so its parameters are:

  • [\boldsymbol{\mathfrak{E}}_{UU}]_{j\ell}=\mathcal{E}(U_j,U_\ell), j\neq \ell, with \mathcal{E}(U_j,U_\ell)=\int_0^1 F_{U_j}^{-1}(t) F_{U_\ell}^{-1}(t) \, dt, and [\boldsymbol{\mathfrak{E}}_{UU}]_{jj}=\mathbb{E}(U_j^2), j,\ell=1,\dots,p

  • \boldsymbol{\Psi}=\text{Diag}(\mathbb{E}(U_1),\dots,\mathbb{E}(U_p))

LatentCase

A string specifying which of the three scenarios applies to the latent variables:

• "U_id_symmetric": The case where the latent variables are identically distributed and symmetric.

• "U_id": The case where the latent variables are identically distributed.

• "General": The case where the latent variables do not have any nice properties.

Defaults to "U_id_symmetric".

LatentDist

A string or vector of strings specifying the distribution(s) of the latent variables. If the variables are identically distributed it can be one of ("Unif", "Triang", "TNorm", "InvTri", "Beta", "KDE", "Degenerated"), if not, it is a vector with the distribution for each variable.

ObsNames

A character vector of observation names.

VarNames

A character vector of variable names.

NObs

A numeric value indicating the number of observations.

NIVar

A numeric value indicating the number of interval variables.

NbMicroUnits

An integer vector indicating the number of individual observations (microdata) aggregated by interval (macrodata).

References

Oliveira, M. R., Pinheiro, D., & Oliveira, L. (2025). Location and association measures for interval-valued data based on Mallows' distance. arXiv preprint arXiv:2407.05105. https://arxiv.org/abs/2407.05105

Adapted from package MAINT.Data (https://cran.r-project.org/package=MAINT.Data).

AIDA documentation built on Nov. 4, 2026, 9:06 a.m.