Module tolerance 

Tolerance bands for functional data.

This module provides methods for constructing regions expected to contain a given fraction of individual curves in a population — the functional analogue of classical tolerance intervals.

Methods

• fpca_tolerance_band — FPCA + bootstrap tolerance band (pointwise or simultaneous)
• elastic_tolerance_band — Amplitude-only band after elastic alignment
• phase_tolerance_band — Phase band on warping functions via tangent-space FPCA
• elastic_tolerance_band_with_config — Joint amplitude + phase bands (single alignment)
• conformal_prediction_band — Distribution-free conformal prediction band
• scb_mean_degras — Simultaneous confidence band for the mean (Degras method)
• exponential_family_tolerance_band — Tolerance band for exponential family data

Structs

ElasticToleranceBandResult

Joint amplitude and phase elastic tolerance bands.

ElasticToleranceConfig

Configuration for elastic_tolerance_band_with_config.

EquivalenceTestResult

Result of a functional equivalence test (TOST).

PhaseToleranceBand

Phase tolerance band on warping functions.

ToleranceBand

Result of a tolerance band computation.

Enums

BandType

Type of tolerance band.

EquivalenceBootstrap

Bootstrap method for the equivalence test.

ExponentialFamily

Exponential family for generalized FPCA tolerance bands.

MultiplierDistribution

Multiplier distribution for Degras SCB.

NonConformityScore

Non-conformity score for conformal prediction.

Functions

conformal_prediction_band

Compute a distribution-free conformal prediction band.

elastic_tolerance_band

Compute a tolerance band in the elastic (aligned) space.

elastic_tolerance_band_with_config

Compute joint amplitude and phase elastic tolerance bands.

equivalence_test

Test functional equivalence between two groups using TOST.

equivalence_test_one_sample

Test functional equivalence of one group’s mean to a reference function.

exponential_family_tolerance_band

Compute a tolerance band for exponential family functional data.

fpca_tolerance_band

Compute a tolerance band via FPCA and bootstrap.

phase_tolerance_band

Compute a phase tolerance band on warping functions.

scb_mean_degras

Compute a simultaneous confidence band for the mean function (Degras method).