| admiss_rho |
Circular L-moments |
| 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 |
| arccirc |
The smooth circular arc-length family |
| arccirc_fr |
Fejer-Riesz form of the circular arc-length family |
| 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 |
| arclength |
Construct a quantile arc-length distribution |
| arcq |
Construct a quantile arc-length distribution |
| arc_generator |
Arc-length generator: transform a bounded-support base into a new 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 |
| darccirc |
The smooth circular arc-length family |
| darccirc_fr |
Fejer-Riesz form of the circular arc-length family |
| darcq |
Construct a quantile arc-length distribution |
| dgen |
Arc-length generator: transform a bounded-support base into a new distribution |
| dtemper_vm |
Arc-length tempering of a von Mises base |
| eqfit_bc |
The equivalence-system paper's fitting and simulation loops, in the back end |
| eqfit_bc_boot |
The equivalence-system paper's fitting and simulation loops, in the back end |
| eqfit_blocklen |
The equivalence-system paper's fitting and simulation loops, in the back end |
| eqfit_estsim |
The equivalence-system paper's fitting and simulation loops, in the back end |
| eqfit_k4eq |
The equivalence-system paper's fitting and simulation loops, in the back end |
| eqfit_k4eq_boot |
The equivalence-system paper's fitting and simulation loops, in the back end |
| eqfit_msim |
The equivalence-system paper's fitting and simulation loops, in the back end |
| eqfit_nullT |
The equivalence-system paper's fitting and simulation loops, in the back end |
| eqfit_score_at |
The equivalence-system paper's fitting and simulation loops, in the back end |
| eqfit_taus |
The equivalence-system paper's fitting and simulation loops, in the back end |
| eq_bstar |
Equivalence curve |
| eq_E |
Closed-form equivalence discrepancy |
| eq_E_sweep |
The equivalence-system paper's fitting and simulation loops, in the back end |
| 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_readings_vsl |
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 |
| factorise_rho |
Circular L-moments |
| 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_ab_sweep |
The equivalence-system paper's fitting and simulation loops, in the back end |
| k4_band_model |
Band arc lengths of a scaled kappa curve and of a data polyline |
| k4_band_sample |
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_b_sweep |
The equivalence-system paper's fitting and simulation loops, in the back end |
| k4_cdf |
Four-parameter kappa quantile, distribution and density functions |
| k4_fit_aleq |
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_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_nalr |
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_nls |
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_pdf |
Four-parameter kappa quantile, distribution and density functions |
| 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 |
| lmoments |
Theoretical L-moments of an arcq distribution |
| lmom_circ |
Circular L-moments |
| lmratios |
L-moment ratios (tau_3, tau_4, ...) from a vector of L-moments |
| parcq |
Construct a quantile arc-length distribution |
| pgen |
Arc-length generator: transform a bounded-support base into a new distribution |
| qarcq |
Construct a quantile arc-length distribution |
| qd_arccirc |
The smooth circular arc-length family |
| qd_arccirc_fr |
Fejer-Riesz form of the circular arc-length family |
| qmin_rho |
Circular L-moments |
| Q_arccirc |
The smooth circular arc-length family |
| Q_arccirc_fr |
Fejer-Riesz form of the circular arc-length family |
| rarccirc |
The smooth circular arc-length family |
| rarccirc_fr |
Fejer-Riesz form of the circular arc-length family |
| rarcq |
Construct a quantile arc-length distribution |
| rgen |
Arc-length generator: transform a bounded-support base into a new distribution |
| rho_arccirc |
The smooth circular arc-length family |
| rho_from_lmom |
Circular L-moments |
| sample_lmoments |
Sample L-moments of data |
| trigmom_arccirc |
The smooth circular arc-length family |
| trigmom_arccirc_fr |
Fejer-Riesz form of the circular arc-length family |
| trigmom_temper_vm |
Arc-length tempering of a von Mises base |
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