markov(): classic discrete-time, first-order Markov
transition estimation from tidy long-format
id/time/value panel data, with
quantile-based (fixed or per-period) class discretisation.full_rank_markov() and geo_rank_markov():
rank-based Markov chains (ranks-as-states, and
units-exchanging-rank-positions) — no binning required.lisa_markov(): Markov chain over the four
Moran-scatterplot quadrants (HH/LH/LL/HL), capturing the joint dynamics
of a unit and its neighbourhood.spatial_markov(): spatial Markov chain (Rey 2001) with
transition matrices conditioned on the spatial-lag class of the
neighbourhood. Accepts either a spatial weights matrix (lag computed
internally) or a precomputed lag column, and explicit
breaks / lag_breaks cut points. With matching
cut points it reproduces PySAL giddy’s spatial Markov
matrices to machine precision.steady_state(): ergodic / stationary distribution of a
transition matrix or an sddr_markov object.mfpt(): mean first passage times (Kemeny-Snell
fundamental matrix), with mean recurrence times on the diagonal.sojourn_time(): expected persistence time in each
class.tau(): Kendall’s tau rank correlation (positional /
exchange mobility), with concordant/discordant counts and an asymptotic
p-value.theta(): Theta rank-mobility statistic (Rey 2004)
decomposing rank change by regime.tau_local(): per-observation (local) Kendall’s tau
decomposition.mobility(): Markov mobility indices (Prais,
determinant, second-eigenvalue L2, and the Shorrocks B1/B2
indices).print() methods for sddr_markov and
sddr_spatial_markov.spatial_markov() and lisa_markov() now
accept spatial weights as an listw or nb
object (e.g. built from an sf layer), in addition to a
plain weights matrix. ‘spdep’ is an optional (Suggests) dependency.
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