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emergent family

πŸ“ Distributional shape (L-moments & quantiles)

15 novel Β· 0 crypto-prior Β· 0 excluded. Each row links its FOSS implementation + license + paper. Empirical orthogonality deferred.

#CandidateFOSS implementation @ licensePaper Β· provenanceCoverage
#1 l_skewness_tau3
Robust, parameter-free measure of return/tick-move asymmetry built from linear combinations of order statistics (L-moments) rather than third powers β€”
OpenHydrology/lmoments3
GPL-3 (lmoments3); BSD (scipy)
DOI:10.1111/j.2517-6161.1990.t
git-anchor: absent @c803ef96e + @2d308f1c
not-covered
#2 l_kurtosis_tau4
Robust, parameter-free tail-peakedness measure from L-moments; concords with goodness-of-fit power and resists outliers far better than classical kurt
OpenHydrology/lmoments3
GPL-3 (lmoments3); BSD (scipy)
DOI:10.1111/j.2517-6161.1990.t
git-anchor: absent @c803ef96e + @2d308f1c
not-covered
#3 gini_mean_difference
Expected absolute difference between two independent draws of the within-bar return/spread distribution; a robust, distribution-free scale measure equ
cran/lmomco
GPL-2.0-or-later
DOI:10.1111/j.2517-6161.1990.t
git-anchor: absent @c803ef96e + @2d308f1c
not-covered
#4 bowley_quantile_skewness
Quartile-based (Bowley/Galton) skewness coefficient: a bounded, outlier-robust asymmetry measure built from Q1, median, Q3 with fixed quartile positio
scipy/scipy (quantiles) + ~3 lines; robustats reference impl
BSD-3-Clause (scipy)
DOI:10.2307/2987742
git-anchor: absent @c803ef96e + @2d308f1c
not-covered
#5 moors_octile_kurtosis
A robust quantile-based peakedness/tail measure built from octiles, capturing how dispersed the distribution is around the +/-sigma shoulders without
scipy/scipy
BSD-3-Clause
DOI:10.2307/2348376
git-anchor: absent @c803ef96e + @2d308f1c
not-covered
#6 medcouple_skewness
A robust skewness statistic equal to the median of a kernel of pairwise (above-median, below-median) comparisons; 25% breakdown, bounded influence, sc
statsmodels/statsmodels
BSD-3-Clause
DOI:10.1198/106186004X12632
git-anchor: absent @c803ef96e + @2d308f1c
not-covered
#7 right_quantile_weight_tailweight
A robust right-tail-heaviness descriptor: quartile skewness applied to the upper half of the distribution (above the median), capturing fat-right-tail
cran/robustbase
GPL-3.0 (robustbase); reimplementa
DOI:10.1016/j.csda.2004.09.012
git-anchor: absent @c803ef96e + @2d308f1c
not-covered
#8 kelly_decile_skewness
A robust asymmetry measure reaching further into the tails than Bowley by using the 10th/50th/90th percentiles instead of quartiles, detecting outer-d
numpy/numpy
BSD-3-Clause
DOI:10.1093/biomet/62.1.101
git-anchor: absent @c803ef96e + @2d308f1c
not-covered
#9 quartile_coeff_dispersion_intervals
(Q3 βˆ’ Q1)/(Q3 + Q1) of the within-bar inter-quote interval distribution β€” an outlier-robust, scale-free spread index of arrival-gap dispersion that do
scipy/scipy
BSD-3-Clause
DOI:10.1016/j.csda.2005.05.007
git-anchor: absent @c803ef96e + @2d308f1c
not-covered
#99 groeneveld_meeden_b3_skewness
Groeneveld-Meeden global skewness b3 = (mean - median)/E|X - median| = (mean-median)/MAD-from-median. The mean-median location gap normalized by the m
scipy/scipy (mean, median, median_abs_deviation primitives)
BSD-3-Clause
DOI:10.2307/2987742
git-anchor: absent @c803ef96e + @2d308f1c
not-covered
#100 hl_pseudomedian_minus_median_gap
Location-shape gap between the Hodges-Lehmann pseudomedian (median of all Walsh pairwise averages (xi+xj)/2) and the ordinary median, normalized by a
scipy/scipy (median primitive) + numpy Walsh-average constru
BSD-3-Clause
DOI:10.1214/aoms/1177704172
git-anchor: absent @c803ef96e + @2d308f1c
not-covered
#101 bickel_halfsample_mode_skewness
Bickel modal skewness = (mean - mode)/scale, where the mode is the robust Half-Sample Mode (HSM): recursively keep the shortest half-interval containi
⚠ half-sample-mode structural (dense ticks needed)
cran/modeest (paulponcet/modeest mirror) hsm() + skewness
GPL-3
DOI:10.1016/S0167-9473(01)0005
git-anchor: absent @c803ef96e + @2d308f1c
not-covered
#102 left_medcouple_lower_tailweight
Brys-Hubert-Struyf Left Medcouple (LMC): the medcouple skewness kernel evaluated on the lower structural half {x <= median}, i.e. LMC = -mc(x[x<=media
cran/robustbase lmc()
GPL-2.0-or-later
DOI:10.1016/j.csda.2004.09.012
git-anchor: absent @c803ef96e + @2d308f1c
not-covered
#103 right_medcouple_upper_tailweight
Brys-Hubert-Struyf Right Medcouple (RMC): medcouple kernel on the upper structural half {x >= median}, RMC = mc(x[x>=median]). Robust per-tail kurtosi
cran/robustbase rmc()
GPL-2.0-or-later
DOI:10.1016/j.csda.2004.09.012
git-anchor: absent @c803ef96e + @2d308f1c
not-covered
#110 anderson_darling_a2_vs_gaussian_fit_logret
Anderson-Darling goodness-of-fit statistic AΒ² measuring the squared distance between the empirical CDF of the bar's intra-bar mid log-returns and the
statsmodels/statsmodels (statsmodels.stats.diagnostic.normal_ad β†’ return
BSD-3-Clause
DOI:10.1214/aoms/1177729437
git-anchor: absent @c803ef96e + @2d308f1c
not-covered