al_band_model           Band arc length of the normal reference curve
                        (C back-end)
al_band_sample          Sample band arc length of the empirical
                        distribution curve (C back-end)
al_moments              Exact mean, variance and support of the
                        arc-length statistic (C back-end)
al_pvalue               Saddlepoint right-tail probability of the
                        arc-length statistic (C back-end)
al_scale                Scale by arc-length band matching, in the
                        scale-equivariant standardised form (C
                        back-end)
al_statistic            Arc-length goodness-of-fit statistic (C
                        back-end)
al_test                 Arc-length goodness-of-fit test
arc_generator           Arc-length generator: transform a
                        bounded-support base into a new distribution
arcc_c3max              Largest admissible shape parameter of the
                        smooth circular family
arcc_exact_ci           Exact confidence interval for the shape
                        parameter of the wrapped order-three family
arcc_gof                Goodness of fit of a fitted circular arc-length
                        member
arccirc                 The smooth circular arc-length family
arccirc_fr              Fejer-Riesz form of the circular arc-length
                        family
arcq                    Construct a quantile arc-length distribution
bb_evidence             Bayesian arc-length goodness-of-fit evidence
bb_post_disc            Bayesian-bootstrap posterior arc-length
                        discrepancies
bb_ref_disc             Null reference distribution of the arc-length
                        discrepancy
bc_cdf                  Beta-companion distribution function
bc_pdf                  Beta-companion density
bc_q                    Beta-companion quantile function (standardised
                        support)
cf_arclength            Arc length of the empirical characteristic
                        function (C back-end)
cf_arclength_family     Closed-form characteristic-function arc length
                        for named families
dtemper_vm              Arc-length tempering of a von Mises base
eq_E                    Closed-form equivalence discrepancy
eq_bstar                Equivalence curve
eq_readings             Quantile-domain induction readings and
                        equivalence discrepancy for tilted beta-kernel
                        quantile densities q(u) = u^alpha (1-u)^beta
                        exp(sum theta_j P_j(u))
eq_ub_quad              Quadratic shoulder and mode of the kernel
                        family
eqfit_bc                The equivalence-system paper's fitting and
                        simulation loops, in the back end
fit_arccirc             Method-of-moments fit of the smooth circular
                        arc-length family
fit_arccirc_fr          Closed-form fit of the Fejer-Riesz circular
                        arc-length family
fit_arcq                Fit an arcq distribution to data by matching
                        L-moments
fit_arcq_cf             Closed-form L-moment fit of the order-two arcq
                        family
k4_band_model           Band arc lengths of a scaled kappa curve and of
                        a data polyline
k4_band_trop_mean       Exact mean of the tropical band arc length
                        under Gaussian error
k4_fit_lmom             Deterministic kappa fits: L-moment shape
                        inversion, quantile-domain arc-length shape
                        fit, curve-domain NLS and NALR (banded arc
                        lengths of the running-median presmoothed
                        polyline)
k4_fit_varpro           Variable-projection fit of the drifted kappa
                        response
k4_icc                  One-way variance components and the intraclass
                        correlation
k4_locus_dist           Distance from fitted shapes to the equivalence
                        locus
k4_mv_boot              The fitting-method multiverse of one induction
                        run: eight admissible pipelines under one
                        moving-block residual bootstrap
k4_q                    Four-parameter kappa quantile, distribution and
                        density functions
k4_readings             The two standard induction-period readings of a
                        fitted kappa curve
k4_runmed               Running median with shrinking symmetric windows
                        at the edges
k4_tau34                Theoretical L-moment ratios of the standard
                        kappa distribution
lmom_circ               Circular L-moments
lmoments                Theoretical L-moments of an arcq distribution
lmratios                L-moment ratios (tau_3, tau_4, ...) from a
                        vector of L-moments
sample_lmoments         Sample L-moments of data
