getlen: Estimation of Stratum Lengths for Embedded Markov Chain
Description
The function estimates the stratum lengths for a $d$-D spatial embedded Markov chain for a specified direction $phi$.Usage
getlen(data, coords, loc.id, direction, zero.allowed = FALSE)
Arguments
data
a categorical data vector of length $n$.
coords
an $n x d$ matrix where each row denotes the $d$-D coordinates of data locations.
loc.id
a vector of $n$ values which indicates the directional line of each location. It is usually the output of the function which_lines. direction
a $d$-D numerical vector (or versor) which represents the chosen direction.
zero.allowed
a logical value which allows to return zero stratum lengths. It is FALSE by default.
Value
- length
- a numerical vector with the stratum lengths along the given direction.
- categories
- a vector with the stratum categories.
- maxcens
- a vector with the maxima estimated censored lengths for each stratum.
- directions
- a $d$-D numerical vector which represents the chosen direction.
- zeros
- a logical values which denotes the possible presence of zero lengths.
Details
Stratum lengths are the lengths occupied by the same $k$-th category along lines in the direction $phi$.
References
Carle, S. F., Fogg, G. E. (1997) Modelling Spatial Variability with One and Multidimensional Continuous-Lag Markov Chains. Mathematical Geology, 29(7), 891-918.Sartore, L. (2010) Geostatistical models for 3-D data. M.Phil. thesis, Ca' Foscari University of Venice.