Tidy Randomly Generated Inverse Burr Distribution Tibble

This function will generate n random points from an Inverse Burr distribution with a user provided, .shape1, .shape2, .scale, .rate, 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_inverse_burr(
  .n = 50,
  .shape1 = 1,
  .shape2 = 1,
  .rate = 1,
  .scale = 1/.rate,
  .num_sims = 1,
  .return_tibble = TRUE
)

Arguments

.n: The number of randomly generated points you want.
.shape1: Must be strictly positive.
.shape2: Must be strictly positive.
.rate: An alternative way to specify the .scale.
.scale: Must be strictly 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::rinvburr(), and its underlying p, d, and q functions. For more information please see actuar::rinvburr()

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_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 Burr: tidy_burr(), util_burr_param_estimate(), util_burr_stats_tbl()

Other Inverse Distribution: tidy_inverse_exponential(), tidy_inverse_gamma(), tidy_inverse_normal(), tidy_inverse_pareto(), tidy_inverse_weibull()

Author

Steven P. Sanderson II, MPH

Examples

tidy_inverse_burr()
#> # A tibble: 50 × 7
#>    sim_number     x       y     dx       dy      p       q
#>    <fct>      <int>   <dbl>  <dbl>    <dbl>  <dbl>   <dbl>
#>  1 1              1  4.28   -2.76  1.12e- 3 0.811   4.28  
#>  2 1              2 54.7     0.822 2.18e- 1 0.982  54.7   
#>  3 1              3  0.727   4.41  4.04e- 2 0.421   0.727 
#>  4 1              4  3.27    8.00  1.09e- 2 0.766   3.27  
#>  5 1              5  0.271  11.6   8.02e- 3 0.213   0.271 
#>  6 1              6  0.138  15.2   7.56e- 3 0.121   0.138 
#>  7 1              7  0.767  18.8   1.01e- 6 0.434   0.767 
#>  8 1              8 14.7    22.3   7.98e-17 0.936  14.7   
#>  9 1              9  0.111  25.9   0        0.100   0.111 
#> 10 1             10  0.0911 29.5   4.08e- 8 0.0835  0.0911
#> # ℹ 40 more rows