chart_stat_op

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chart_stat_op(p_vec, chart_choice)

Compute the (in-control) chart statistic of an ordinal-pattern distribution p_vec for the given chart choice.

p_vec: vector of (relative) ordinal-pattern frequencies of length m!, ordered by their Lehmer index (see perm_to_lehm_idx).
chart_choice: one of Shannon(), ShannonExtropy(), DistanceToWhiteNoise(), UpDownBalance(), Persistence(), RotationalAsymmetry(), UpDownScaling(). Returns the value of the chart statistic. The Shannon and Shannon-extropy statistics follow Equation (3) in Weiß and Testik (2023); the β-, τ-, γ- and δ-statistics follow Equations (3)–(6) in Bandt (2019) and require m = 3 (UpDownBalance also supports m = 2).

The Shannon and Shannon-extropy statistics are computed in the logarithm base of chart_choice, which must be larger than 1. Note that Shannon() and ShannonExtropy() default to base 2 in ComplexityMeasures.jl; use Shannon(base=exp(1)) for the natural logarithm used in the papers. See the section on the logarithm base in the docs.