Tidy Randomly Generated Inverse Gaussian Distribution Tibble

This function will generate n random points from an Inverse Gaussian distribution with a user provided, .mean, .shape, .dispersionThe function returns a tibble with the simulation number column the x column which corresponds to the n randomly generated points.

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_normal(
  .n = 50,
  .mean = 1,
  .shape = 1,
  .dispersion = 1/.shape,
  .num_sims = 1,
  .return_tibble = TRUE
)

Arguments

.n

The number of randomly generated points you want.

.mean

Must be strictly positive.

.shape

Must be strictly positive.

.dispersion

An alternative way to specify the .shape.

.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::rinvgauss(). For more information please see actuar::rinvgauss()

See also

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_burr(), tidy_inverse_exponential(), tidy_inverse_gamma(), 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 Gaussian: tidy_normal(), util_normal_param_estimate(), util_normal_stats_tbl()

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

Author

Steven P. Sanderson II, MPH

Examples

tidy_inverse_normal()
#> # A tibble: 50 × 7
#>    sim_number     x     y      dx      dy     p     q
#>    <fct>      <int> <dbl>   <dbl>   <dbl> <dbl> <dbl>
#>  1 1              1 3.88  -0.833  0.00136 0.977 3.88 
#>  2 1              2 0.344 -0.717  0.00407 0.212 0.344
#>  3 1              3 1.45  -0.600  0.0108  0.800 1.45 
#>  4 1              4 0.376 -0.484  0.0257  0.246 0.376
#>  5 1              5 1.15  -0.368  0.0546  0.720 1.15 
#>  6 1              6 0.382 -0.252  0.104   0.252 0.382
#>  7 1              7 2.08  -0.135  0.178   0.894 2.08 
#>  8 1              8 1.70  -0.0192 0.274   0.846 1.70 
#>  9 1              9 0.536  0.0970 0.382   0.396 0.536
#> 10 1             10 1.98   0.213  0.484   0.884 1.98 
#> # ℹ 40 more rows