Tidy Randomly Generated Generalized Beta Distribution Tibble

This function will generate n random points from a generalized beta distribution with a user provided, .shape1, .shape2, .shape3, .rate, and/or .sclae, 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_generalized_beta(
  .n = 50,
  .shape1 = 1,
  .shape2 = 1,
  .shape3 = 1,
  .rate = 1,
  .scale = 1/.rate,
  .num_sims = 1,
  .return_tibble = TRUE
)

Arguments

.n: The number of randomly generated points you want.
.shape1: A non-negative parameter of the Beta distribution.
.shape2: A non-negative parameter of the Beta distribution.
.shape3: A non-negative parameter of the Beta distribution.
.rate: An alternative way to specify the .scale parameter.
.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 stats::rbeta(), and its underlying p, d, and q functions. For more information please see stats::rbeta()

Other Continuous Distribution: tidy_beta(), tidy_burr(), tidy_cauchy(), tidy_chisquare(), tidy_exponential(), tidy_f(), tidy_gamma(), 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 Beta: tidy_beta(), util_beta_param_estimate(), util_beta_stats_tbl()

Author

Steven P. Sanderson II, MPH

Examples

tidy_generalized_beta()
#> # A tibble: 50 × 7
#>    sim_number     x      y      dx      dy      p      q
#>    <fct>      <int>  <dbl>   <dbl>   <dbl>  <dbl>  <dbl>
#>  1 1              1 0.101  -0.321  0.00234 0.101  0.101 
#>  2 1              2 0.851  -0.289  0.00562 0.851  0.851 
#>  3 1              3 0.748  -0.257  0.0125  0.748  0.748 
#>  4 1              4 0.0988 -0.225  0.0260  0.0988 0.0988
#>  5 1              5 0.308  -0.193  0.0503  0.308  0.308 
#>  6 1              6 0.432  -0.161  0.0905  0.432  0.432 
#>  7 1              7 0.253  -0.130  0.152   0.253  0.253 
#>  8 1              8 0.237  -0.0976 0.238   0.237  0.237 
#>  9 1              9 0.391  -0.0657 0.348   0.391  0.391 
#> 10 1             10 0.575  -0.0337 0.479   0.575  0.575 
#> # ℹ 40 more rows