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R Package for Random Walks
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spsanderson/RandomWalker
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Generate random walks of various types with tidyversecompatibility
To view the full wiki, click here:Full RandomWalkerWiki
RandomWalker is a comprehensive R package that makes it easy togenerate, visualize, and analyze random walks. Whether you’re modelingstock prices, simulating particle movements, or exploring stochasticprocesses, RandomWalker provides a unified, tidyverse-compatibleinterface with extensive distribution support.
- 🎲 27+ Distribution Types: Generate random walks from Normal,Brownian Motion, Geometric Brownian Motion, Cauchy, Beta, Gamma,Poisson, and many more distributions
- 📐 Multi-Dimensional Support: Create walks in 1D, 2D, or 3D space
- 📊 Rich Visualizations: Built-in plotting functions with supportfor both static and interactive visualizations
- 📈 Statistical Analysis: Comprehensive summary statisticsincluding cumulative functions, confidence intervals, and distancemetrics
- 🔧 Tidyverse Compatible: Works seamlessly with dplyr, tidyr, andggplot2
- ⚡ Easy to Use: Sensible defaults with extensive customizationoptions
Install the stable version from CRAN:
install.packages("RandomWalker")Or get the development version from GitHub for the latest features andbug fixes:
# install.packages("devtools")devtools::install_github("spsanderson/RandomWalker")
Therw30() function provides a quick way to generate 30 random walkswith 100 steps each:
library(RandomWalker)# Generate random walkswalks<- rw30()head(walks,10)#> # A tibble: 10 × 3#> walk_number step_number y#> <fct> <int> <dbl>#> 1 1 1 0#> 2 1 2 -0.315#> 3 1 3 0.413#> 4 1 4 -0.351#> 5 1 5 -1.53#> 6 1 6 -2.44#> 7 1 7 -3.19#> 8 1 8 -3.58#> 9 1 9 -4.95#> 10 1 10 -3.75
Create beautiful visualizations with a single function call:
rw30()|> visualize_walks()
Get comprehensive statistical summaries of your random walks:
# Overall summaryrw30()|> summarize_walks(.value=y)#> # A tibble: 1 × 16#> fns fns_name dimensions mean_val median range quantile_lo quantile_hi#> <chr> <chr> <dbl> <dbl> <dbl> <dbl> <dbl> <dbl>#> 1 rw30 Rw30 1 -0.624 -0.900 49.1 -13.9 18.7#> # ℹ 8 more variables: variance <dbl>, sd <dbl>, min_val <dbl>, max_val <dbl>,#> # harmonic_mean <dbl>, geometric_mean <dbl>, skewness <dbl>, kurtosis <dbl># Summary by walkrw30()|> summarize_walks(.value=y,.group_var=walk_number)|> head(10)#> # A tibble: 10 × 17#> walk_number fns fns_name dimensions mean_val median range quantile_lo#> <fct> <chr> <chr> <dbl> <dbl> <dbl> <dbl> <dbl>#> 1 1 rw30 Rw30 1 3.88 3.90 10.6 -0.636#> 2 2 rw30 Rw30 1 0.848 0.922 10.4 -3.85#> 3 3 rw30 Rw30 1 3.32 3.09 10.2 -0.536#> 4 4 rw30 Rw30 1 -3.40 -3.30 10.2 -7.30#> 5 5 rw30 Rw30 1 7.28 7.04 13.7 1.10#> 6 6 rw30 Rw30 1 -8.04 -9.73 19.2 -18.0#> 7 7 rw30 Rw30 1 -2.50 -2.56 11.3 -6.96#> 8 8 rw30 Rw30 1 -0.348 -0.426 7.21 -3.41#> 9 9 rw30 Rw30 1 7.19 5.56 16.2 1.44#> 10 10 rw30 Rw30 1 1.42 1.44 12.8 -4.34#> # ℹ 9 more variables: quantile_hi <dbl>, variance <dbl>, sd <dbl>,#> # min_val <dbl>, max_val <dbl>, harmonic_mean <dbl>, geometric_mean <dbl>,#> # skewness <dbl>, kurtosis <dbl>
# Normal walk with custom parametersrandom_normal_walk(.num_walks=5,.n=50,.mu=0,.sd=0.1,.initial_value=100)|> visualize_walks()
# Geometric Brownian Motion (great for stock prices!)geometric_brownian_motion(.num_walks=10,.n=100,.mu=0.05,.sigma=0.2,.initial_value=100)|> visualize_walks()
# 2D random walkrandom_normal_walk(.num_walks=3,.n=100,.dimensions=2)|> head(10)#> # A tibble: 10 × 14#> walk_number step_number x y cum_sum_x cum_prod_x cum_min_x#> <fct> <int> <dbl> <dbl> <dbl> <dbl> <dbl>#> 1 1 1 0.0268 -0.0711 0.0268 0 0.0268#> 2 1 2 0.0268 0.0582 0.0536 0 0.0268#> 3 1 3 -0.195 -0.0251 -0.141 0 -0.195#> 4 1 4 -0.0504 -0.148 -0.192 0 -0.195#> 5 1 5 0.00382 0.0865 -0.188 0 -0.195#> 6 1 6 0.131 0.139 -0.0567 0 -0.195#> 7 1 7 0.0420 0.0549 -0.0148 0 -0.195#> 8 1 8 0.0384 -0.0772 0.0236 0 -0.195#> 9 1 9 -0.258 0.149 -0.234 0 -0.258#> 10 1 10 -0.195 0.144 -0.429 0 -0.258#> # ℹ 7 more variables: cum_max_x <dbl>, cum_mean_x <dbl>, cum_sum_y <dbl>,#> # cum_prod_y <dbl>, cum_min_y <dbl>, cum_max_y <dbl>, cum_mean_y <dbl># 3D random walkrandom_normal_walk(.num_walks=2,.n=50,.dimensions=3)|> head(10)#> # A tibble: 10 × 20#> walk_number step_number x y z cum_sum_x cum_prod_x#> <fct> <int> <dbl> <dbl> <dbl> <dbl> <dbl>#> 1 1 1 0.190 0.147 0.0425 0.190 0#> 2 1 2 -0.0333 -0.0159 0.0287 0.157 0#> 3 1 3 0.124 -0.0312 0.0523 0.281 0#> 4 1 4 -0.0133 -0.00990 -0.0491 0.267 0#> 5 1 5 0.0863 -0.0759 -0.106 0.354 0#> 6 1 6 -0.0173 -0.0564 0.0971 0.336 0#> 7 1 7 0.0345 -0.0564 -0.0301 0.371 0#> 8 1 8 0.0345 0.222 0.108 0.405 0#> 9 1 9 -0.0566 -0.0325 0.0971 0.349 0#> 10 1 10 0.104 0.199 0.123 0.453 0#> # ℹ 13 more variables: cum_min_x <dbl>, cum_max_x <dbl>, cum_mean_x <dbl>,#> # cum_sum_y <dbl>, cum_prod_y <dbl>, cum_min_y <dbl>, cum_max_y <dbl>,#> # cum_mean_y <dbl>, cum_sum_z <dbl>, cum_prod_z <dbl>, cum_min_z <dbl>,#> # cum_max_z <dbl>, cum_mean_z <dbl>
# Discrete walk with upper/lower boundsdiscrete_walk(.num_walks=5,.n=100,.upper_bound=1,.lower_bound=-1,.upper_probability=0.55,.initial_value=0)|> visualize_walks()
RandomWalker supports a wide variety of random walk types:
- Normal:
random_normal_walk(),random_normal_drift_walk() - Brownian Motion:
brownian_motion(),geometric_brownian_motion() - Beta:
random_beta_walk() - Cauchy:
random_cauchy_walk() - Chi-Squared:
random_chisquared_walk() - Exponential:
random_exponential_walk() - F-Distribution:
random_f_walk() - Gamma:
random_gamma_walk() - Log-Normal:
random_lognormal_walk() - Logistic:
random_logistic_walk() - Student’s t:
random_t_walk() - Uniform:
random_uniform_walk() - Weibull:
random_weibull_walk() - And more!
- Binomial:
random_binomial_walk() - Discrete:
discrete_walk() - Geometric:
random_geometric_walk() - Hypergeometric:
random_hypergeometric_walk() - Multinomial:
random_multinomial_walk() - Negative Binomial:
random_negbinomial_walk() - Poisson:
random_poisson_walk()
- Custom Displacement:
custom_walk(),random_displacement_walk()
| Function | Description |
|---|---|
rw30() | Quickly generate 30 random walks |
visualize_walks() | Create visualizations (static or interactive) |
summarize_walks() | Generate comprehensive statistics |
subset_walks() | Subset walks by max/min values |
euclidean_distance() | Calculate distances in multi-dimensional walks |
confidence_interval() | Compute confidence intervals |
running_quantile() | Calculate running quantiles |
- Getting Started Guide: See
vignette("getting-started") - Function Reference:OnlineDocumentation
- Package Website:RandomWalker
- News and Updates: CheckNEWS.md for latest changes
Contributions are welcome! Please feel free to submit a Pull Request.For major changes, please open an issue first to discuss what you wouldlike to change.
This package is licensed under the MIT License. SeeLICENSE.md for details.
- Steven P. Sanderson II, MPH -Author, Creator, Maintainer -GitHub
- Antti Rask -Contributor - Visualization functions
- Bug Reports:GitHubIssues
- Questions: Use GitHub Discussions or Stack Overflow with the
randomwalkertag - Website:https://www.spsanderson.com/RandomWalker/
If you use RandomWalker in your research, please cite:
citation("RandomWalker")Made with ❤️ for the R community
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