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Tidy Randomly Generated Cauchy Distribution Tibble

Source: R/random-tidy-cauchy.R
tidy_cauchy.Rd

This function will generate n random points from a cauchy distribution with a user provided, .location, .scale, and number of random simulations to be produced. The function returns a tibble with the simulation number column the x column which corresponds to the n randomly generated points, the d_, p_ and q_ data points as well.

The data is returned un-grouped.

The columns that are output are:

  • sim_number The current simulation number.

  • x The current value of n for the current simulation.

  • y The randomly generated data point.

  • dx The x value from the stats::density() function.

  • dy The y value from the stats::density() function.

  • p The values from the resulting p_ function of the distribution family.

  • q The values from the resulting q_ function of the distribution family.

Usage

tidy_cauchy(
  .n = 50,
  .location = 0,
  .scale = 1,
  .num_sims = 1,
  .return_tibble = TRUE
)

Arguments

.n

The number of randomly generated points you want.

.location

The location parameter.

.scale

The scale parameter, must be greater than or equal to 0.

.num_sims

The number of randomly generated simulations you want.

.return_tibble

A logical value indicating whether to return the result as a tibble. Default is TRUE.

Value

A tibble of randomly generated data.

Details

This function uses the underlying stats::rcauchy(), and its underlying p, d, and q functions. For more information please see stats::rcauchy()

See also

https://www.itl.nist.gov/div898/handbook/eda/section3/eda3663.htm

Other Continuous Distribution: tidy_beta(), tidy_burr(), tidy_chisquare(), tidy_exponential(), tidy_f(), tidy_gamma(), tidy_generalized_beta(), tidy_generalized_pareto(), tidy_inverse_burr(), tidy_inverse_exponential(), tidy_inverse_gamma(), tidy_inverse_normal(), tidy_inverse_pareto(), tidy_inverse_weibull(), tidy_logistic(), tidy_lognormal(), tidy_normal(), tidy_paralogistic(), tidy_pareto(), tidy_pareto1(), tidy_t(), tidy_triangular(), tidy_uniform(), tidy_weibull(), tidy_zero_truncated_geometric()

Other Cauchy: util_cauchy_param_estimate(), util_cauchy_stats_tbl()

Author

Steven P. Sanderson II, MPH

Examples

tidy_cauchy()
#> # A tibble: 50 × 7
#>    sim_number     x        y      dx       dy      p        q
#>    <fct>      <int>    <dbl>   <dbl>    <dbl>  <dbl>    <dbl>
#>  1 1              1   4.59   -16.7   0.000205 0.932    4.59  
#>  2 1              2  -0.173  -14.7   0.0183   0.446   -0.173 
#>  3 1              3  83.2    -12.6   0.000240 0.996   83.2   
#>  4 1              4 -14.1    -10.5   0.0151   0.0225 -14.1   
#>  5 1              5  -3.24    -8.46  0.000802 0.0953  -3.24  
#>  6 1              6   0.110   -6.39  0.0188   0.535    0.110 
#>  7 1              7  -6.65    -4.32  0.00818  0.0475  -6.65  
#>  8 1              8   0.199   -2.25  0.0447   0.563    0.199 
#>  9 1              9   0.0877  -0.178 0.294    0.528    0.0877
#> 10 1             10   0.626    1.89  0.0671   0.678    0.626 
#> # ℹ 40 more rows