T is the transition matrix of the random walk on the lattice. By multiplying by the probability density p at time t, you get the probability density at time t+1. Thus, to get the probability density after k steps, pk, compute p_k = T^kp_1. This application of finite Markov processes is described in Barry and McIntyre (2011).
● Data Source:
CranContrib
● Keywords:
● Alias: Tkp
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If a hole in a region is specified as a polygon, the function removeHole removes all nodes in the nodeFillingOutput that are contained in the hole. This function is called by nodeFilling , so it is generally not needed by users.
● Data Source:
CranContrib
● Keywords:
● Alias: removeHole
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Takes as input a NparRegOut object from the function createNparReg . A vector of predicted values is produced corresponding to each location in the data.
● Data Source:
CranContrib
● Keywords:
● Alias: predict.NparRegOut
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Takes as input a NparRegOut object from the function createNparReg . This plotting function makes a countour plot of the non-parametric regression prediction surface.
● Data Source:
CranContrib
● Keywords:
● Alias: plot.NparRegOut
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Plots the boundary, all holes and the locations of all nodes. Should be used to decide if the nodes fill the region and are spaced closely enough to give good resolution in the plots. The only reason not to make the nodes too closely spaced is when the computing time or memory becomes too great.
● Data Source:
CranContrib
● Keywords:
● Alias: plot.nodeFillingOutput
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This function plots the boundary, holes, nodes and neighbor lattice for the lattice based density or regression estimators. The plot can be examined to determine whether the lattice of connected nodes fills the region. If some nodes are connected when they should not be, or are disconnected when they should be connected, use editLattice to add or remove neighbor links.
● Data Source:
CranContrib
● Keywords:
● Alias: plot.formLatticeOutput
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Plots the boundary, all holes and the locations of all nodes along with the density contour map.
● Data Source:
CranContrib
● Keywords:
● Alias: plot.densityOut
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nodeFilling produces a grid of locations that are the nodes in the diffusion process.
● Data Source:
CranContrib
● Keywords:
● Alias: nodeFilling
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This function generates a transition matrix for the diffusion process on the lattice.
● Data Source:
CranContrib
● Keywords:
● Alias: makeTmatrix
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Lattice Density can take a region bounded externally with a polygon and possibly containing polygonal holes, along with a point pattern in the region, and produces a 2-dimensional density map. Given a set of locations each associated with a response, latticeDensity can produce a 2-dimensional nonparametric regression surface.
● Data Source:
CranContrib
● Keywords:
● Alias: latticeDensity, latticeDensity-package
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