Tidy Randomly Generated Inverse Gamma Distribution Tibble

This function will generate n random points from an inverse gamma distribution with a user provided, .shape, .rate, .scale, 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_gamma(
  .n = 50,
  .shape = 1,
  .rate = 1,
  .scale = 1/.rate,
  .num_sims = 1,
  .return_tibble = TRUE
)

Arguments

.n

The number of randomly generated points you want.

.shape

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

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_inverse_burr(), tidy_inverse_exponential(), 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 Gamma: tidy_gamma(), util_gamma_param_estimate(), util_gamma_stats_tbl()

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

Author

Steven P. Sanderson II, MPH

Examples

tidy_inverse_gamma()
#> # A tibble: 50 × 7
#>    sim_number     x      y     dx       dy     p      q
#>    <fct>      <int>  <dbl>  <dbl>    <dbl> <dbl>  <dbl>
#>  1 1              1  0.902  -1.31 1.13e- 2 0.330  0.902
#>  2 1              2  1.50   10.8  5.04e- 4 0.514  1.50 
#>  3 1              3  8.34   23.0  2.62e-13 0.887  8.34 
#>  4 1              4  8.63   35.2  0        0.891  8.63 
#>  5 1              5  0.807  47.3  0        0.290  0.807
#>  6 1              6  1.70   59.5  1.19e-18 0.556  1.70 
#>  7 1              7  4.44   71.6  4.39e-19 0.798  4.44 
#>  8 1              8 28.9    83.8  0        0.966 28.9  
#>  9 1              9  0.641  96.0  7.70e-19 0.210  0.641
#> 10 1             10  2.45  108.   0        0.665  2.45 
#> # ℹ 40 more rows