Tidy Randomly Generated Gamma Distribution Tibble

This function will generate n random points from a gamma distribution with a user provided, .shape, .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_gamma(
  .n = 50,
  .shape = 1,
  .scale = 0.3,
  .num_sims = 1,
  .return_tibble = TRUE
)

Arguments

.n

The number of randomly generated points you want.

.shape

This is strictly 0 to infinity.

.scale

The standard deviation of the randomly generated data. This is strictly from 0 to infinity.

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

See also

https://www.statology.org/fit-gamma-distribution-to-dataset-in-r/

https://en.wikipedia.org/wiki/Gamma_distribution

Other Continuous Distribution: tidy_beta(), tidy_burr(), tidy_cauchy(), tidy_chisquare(), tidy_exponential(), tidy_f(), tidy_generalized_beta(), tidy_generalized_pareto(), tidy_geometric(), 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 Gamma: tidy_inverse_gamma(), util_gamma_param_estimate(), util_gamma_stats_tbl()

Author

Steven P. Sanderson II, MPH

Examples

tidy_gamma()
#> # A tibble: 50 × 6
#>    sim_number     x       y        dx      dy       p
#>    <fct>      <int>   <dbl>     <dbl>   <dbl>   <dbl>
#>  1 1              1 0.132   -0.361    0.00238 0.132  
#>  2 1              2 0.0801  -0.321    0.00646 0.0801 
#>  3 1              3 0.308   -0.281    0.0160  0.308  
#>  4 1              4 0.00349 -0.241    0.0360  0.00349
#>  5 1              5 0.307   -0.201    0.0744  0.307  
#>  6 1              6 1.16    -0.161    0.141   1.16   
#>  7 1              7 0.237   -0.121    0.246   0.237  
#>  8 1              8 0.103   -0.0810   0.396   0.103  
#>  9 1              9 0.00485 -0.0409   0.591   0.00485
#> 10 1             10 0.353   -0.000909 0.820   0.353  
#> # ℹ 40 more rows