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🎲 Randomness & rank tests (runs/sign/trend)

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

#CandidateFOSS implementation @ licensePaper Β· provenanceCoverage
#18 vonneumann_ratio
Ratio of mean-square successive difference to total variance of the path β€” a parameter-free serial-structure / smoothness statistic; low values = tren
AndriSignorell/DescTools
GPL-2/GPL-3
DOI:10.1214/aoms/1177731677
git-anchor: absent @c803ef96e + @2d308f1c
not-covered
#19 bartels_rank_vn_ratio
Rank version of the von Neumann ratio: mean-square successive rank-difference over rank variance; a distribution-free serial-dependence/randomness sta
cran/randtests
GPL-2.0-or-later
DOI:10.1080/01621459.1982.1047
git-anchor: absent @c803ef96e + @2d308f1c
not-covered
#20 mann_kendall_s_z
Mann-Kendall monotonic-trend statistic: the normalized sum over all ordered bar pairs of the sign of (later value minus earlier value) β€” a rank-based,
cran/Kendall
GPL-2 (Kendall pkg); pymannkendall
DOI:10.2307/1907187
git-anchor: absent @c803ef96e + @2d308f1c
not-covered
#21 turning_point_rate_z
Standardized count of turning points (bars that are a strict local max or local min vs their two neighbors) β€” high values indicate oscillatory/mean-re
cran/randtests
GPL (>= 2)
DOI:10.1111/j.2517-6161.1954.t
git-anchor: absent @c803ef96e + @2d308f1c
not-covered
#22 difference_sign_test_z
Standardized count of positive first-differences (number of up-moves) across the lookback β€” a parameter-free sign-balance-of-increments statistic dist
cran/aTSA
GPL (>= 2)
DOI:10.1093/biomet/42.1-2.80
git-anchor: absent @c803ef96e + @2d308f1c
not-covered
#23 cox_stuart_trend_z
Cox-Stuart quick sign test for trend: pair the i-th value of the first half with the i-th of the second half, count how often the second exceeds the f
cran/randtests
GPL (>= 2)
DOI:10.1093/biomet/42.1-2.80
git-anchor: absent @c803ef96e + @2d308f1c
not-covered
#24 foster_stuart_records_d
Foster-Stuart record-breaking trend statistic: difference between counts of upper-record and lower-record breaks over the lookback β€” distribution-free
JorgeCastilloMateo/RecordTest
GPL (>= 3)
DOI:10.1111/j.2517-6161.1954.t
git-anchor: absent @c803ef96e + @2d308f1c
not-covered
#97 sign_markov_slem_spectral_gap_mixing_threestate
Second-largest-eigenvalue-modulus (SLEM) / spectral-gap mixing rate of the 3-state sign transition matrix: |lambda_2| where lambda_2 is the eigenvalue
⚠ lag-1 sign Markov chain
github.com/TommasoBelluzzo/PyDTMC (MarkovChain.m
MIT
DOI:10.1137/S0036144503423264
git-anchor: absent @c803ef96e + @2d308f1c
not-covered