Tidy Randomly Generated Pareto Single Parameter Distribution Tibble

This function will generate n random points from a single parameter pareto distribution with a user provided, .shape, .min, 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_pareto1(
  .n = 50,
  .shape = 1,
  .min = 1,
  .num_sims = 1,
  .return_tibble = TRUE
)

Arguments

.n

The number of randomly generated points you want.

.shape

Must be positive.

.min

The lower bound of the support of the distribution.

.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::rpareto1(), and its underlying p, d, and q functions. For more information please see actuar::rpareto1()

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_pareto(), tidy_t(), tidy_triangular(), tidy_uniform(), tidy_weibull(), tidy_zero_truncated_geometric()

Other Pareto: tidy_generalized_pareto(), tidy_inverse_pareto(), tidy_pareto(), 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_pareto1()
#> # A tibble: 50 × 7
#>    sim_number     x      y    dx       dy     p      q
#>    <fct>      <int>  <dbl> <dbl>    <dbl> <dbl>  <dbl>
#>  1 1              1   7.01 -2.57 1.87e- 3 0.857   7.01
#>  2 1              2   1.89  7.53 3.45e- 2 0.471   1.89
#>  3 1              3   1.62 17.6  1.57e-10 0.383   1.62
#>  4 1              4   6.07 27.7  8.30e- 3 0.835   6.07
#>  5 1              5   2.55 37.8  5.34e- 6 0.607   2.55
#>  6 1              6   1.27 47.9  7.03e-18 0.211   1.27
#>  7 1              7   1.52 58.0  1.08e-18 0.344   1.52
#>  8 1              8   2.31 68.1  0        0.567   2.31
#>  9 1              9 489.   78.2  1.56e-18 0.998 489.  
#> 10 1             10   2.56 88.3  0        0.610   2.56
#> # ℹ 40 more rows