Tidy Randomly Generated Pareto Distribution Tibble

This function will generate n random points from a pareto distribution with a user provided, .shape, .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_pareto(
  .n = 50,
  .shape = 10,
  .scale = 0.1,
  .num_sims = 1,
  .return_tibble = TRUE
)

Arguments

.n

The number of randomly generated points you want.

.shape

Must be positive.

.scale

Must be positive.

.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 actuar::rpareto(), and its underlying p, d, and q functions. For more information please see actuar::rpareto()

See also

https://openacttexts.github.io/Loss-Data-Analytics/ChapSummaryDistributions.html

Other Continuous Distribution: tidy_beta(), tidy_burr(), tidy_cauchy(), 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_pareto1(), tidy_t(), tidy_triangular(), tidy_uniform(), tidy_weibull(), tidy_zero_truncated_geometric()

Other Pareto: tidy_generalized_pareto(), tidy_inverse_pareto(), tidy_pareto1(), util_pareto1_aic(), util_pareto1_param_estimate(), util_pareto1_stats_tbl(), util_pareto_param_estimate(), util_pareto_stats_tbl()

Author

Steven P. Sanderson II, MPH

Examples

tidy_pareto()
#> # A tibble: 50 × 7
#>    sim_number     x        y        dx     dy      p        q
#>    <fct>      <int>    <dbl>     <dbl>  <dbl>  <dbl>    <dbl>
#>  1 1              1 0.00692  -0.0131    0.139 0.488  0.00692 
#>  2 1              2 0.00881  -0.0115    0.403 0.570  0.00881 
#>  3 1              3 0.00137  -0.00998   1.04  0.127  0.00137 
#>  4 1              4 0.00659  -0.00843   2.40  0.472  0.00659 
#>  5 1              5 0.0151   -0.00687   4.95  0.755  0.0151  
#>  6 1              6 0.000987 -0.00532   9.18  0.0935 0.000987
#>  7 1              7 0.00428  -0.00376  15.3   0.343  0.00428 
#>  8 1              8 0.0203   -0.00221  23.0   0.843  0.0203  
#>  9 1              9 0.000921 -0.000652 31.4   0.0876 0.000921
#> 10 1             10 0.00140   0.000903 39.2   0.130  0.00140 
#> # ℹ 40 more rows