calcExpKernel function

Calculate Exponential Stochastic Matrix

Given a distance matrix from calcVinEll, calculate a stochastic matrix where one step movement probabilities follow an exponential density.

calcExpKernel(distMat, rate)

Arguments

• distMat: Distance matrix from calcVinEll
• rate: Rate parameter of Exponential distribution

Details

The distribution and density functions for the exponential kernel are given below:

where $\lambda$ is the rate parameter of the exponential distribution.

Examples

# setup distance matrix
# two-column matrix with latitude/longitude, in degrees
latLong = cbind(runif(n = 5, min = 0, max = 90),
                runif(n = 5, min = 0, max = 180))

# Vincenty Ellipsoid  distance formula
distMat = calcVinEll(latLongs = latLong)

# calculate exponential distribution over distances
#  rate is just for example
kernMat = calcExpKernel(distMat = distMat, rate = 10)