Simulate and Visualize Kendall Random Walks and Related Distributions


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Documentation for package ‘kendallRandomWalks’ version 0.9.4

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kendallRandomWalks-package kendallRandomWalks: explore and visualize Kendall random walks.
dkend PDF of Kendall stable distribution
estimate_stable_alpha Fit alpha parameter using MLE for distribution with one parameter
fit_kendall Fit stable Kendall distribution for given data and m_alpha function.
fit_separate Function for fitting stable Kendall distribution separately to two parts of data
fit_stable_alpha Fit stable Kendall distribution with one parameter (alpha)
full_loglik_gradient Gradient of minus loglikelihood for stable Kendall distribution with 3 parameters.
full_minus_loglik Negative loglikelihood for stable Kendall distr. with 3 parameters.
g_function Function G(t) - Williamson transform taken at point 1/t.
g_function_single Function G(t) - Williamson transform taken at point 1/t.
kendallRandomWalks kendallRandomWalks: explore and visualize Kendall random walks.
kendall_loglik Log-likelihood for stable kendall distribution with m_alpha = 1
ladder_height Estimate the distribution of first ladder height for given level
ladder_moment Estimate the distribution of first ladder moment for given level
ladder_moment_pmf Distribution of the first ladder moment.
mutate_kendall_rw Mutate each trajectory.
pkend CDF of Kendall stable distribution
pkendSym CDF of symmetrical Kendall stable distribution
plot.kendall_barrier_crossing Generic function for plotting results of ladder_moment function.
plot.kendall_fit QQ-plot for the result of fitting stable Kendall distribtion.
plot.kendall_simulation Generic function that draws simulated trajectories of Kendall random walk
plot.kendall_summary Plot summary of Kendall random walk simulations.
print.kendall_barrier_crossing Generic function for printing result of ladder_moment function
print.kendall_simulation Generic function that prints information about simulated Kendall random walk
print.kendall_summary Print summary of Kendall random walk simulations.
qkend Quantiles of Kendall stable distribution
qkendSym Quantiles of symmetrical Kendall stable distribution
Qn Helper function
rkend Pseudo-random number from Kendall stable distribution
simulateOneTrajectory Simulate one trajectory ofa Kendall random walk
simulate_kendall_rw Simulate multiple trajectories of Kendall random walk
summarise_kendall_rw Calculate some characteristic for every simulated instance.
transform_kendall_rw Transforming (scaling and shifting) Kendall random walks
U Helper function
Z Helper function: min/max