Tidy Randomly Generated Cauchy Distribution Tibble

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_geometric(), 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 -1.14   -107.  2.50e- 4 0.229  -1.14  
#>  2 1              2 -2.15   -103.  2.91e- 5 0.138  -2.15  
#>  3 1              3 -3.73    -98.9 0        0.0833 -3.73  
#>  4 1              4  2.25    -94.9 6.56e-20 0.867   2.25  
#>  5 1              5  0.0564  -91.0 1.51e-18 0.518   0.0564
#>  6 1              6  0.686   -87.1 4.19e-18 0.691   0.686 
#>  7 1              7 -0.325   -83.2 0        0.400  -0.325 
#>  8 1              8 -0.456   -79.3 6.52e-19 0.364  -0.456 
#>  9 1              9  3.66    -75.4 0        0.915   3.66  
#> 10 1             10  0.0966  -71.5 1.48e-18 0.531   0.0966
#> # ℹ 40 more rows