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_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 1.75   -2.93  0.00105 0.636  1.75  
#>  2 1              2 0.0532 -2.14  0.00954 0.0505 0.0532
#>  3 1              3 3.41   -1.34  0.0470  0.773  3.41  
#>  4 1              4 7.56   -0.550 0.128   0.883  7.56  
#>  5 1              5 0.103   0.243 0.203   0.0933 0.103 
#>  6 1              6 4.06    1.04  0.205   0.802  4.06  
#>  7 1              7 4.91    1.83  0.160   0.831  4.91  
#>  8 1              8 0.0668  2.62  0.119   0.0626 0.0668
#>  9 1              9 8.89    3.42  0.0919  0.899  8.89  
#> 10 1             10 4.90    4.21  0.0719  0.831  4.90  
#> # ℹ 40 more rows