Tidy Randomly Generated Paralogistic Distribution Tibble

This function will generate n random points from a paralogistic 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_paralogistic(
  .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::rparalogis(), and its underlying p, d, and q functions. For more information please see actuar::rparalogis()

See also

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

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_normal(), tidy_inverse_pareto(), tidy_inverse_weibull(), tidy_logistic(), tidy_lognormal(), tidy_normal(), tidy_pareto(), tidy_pareto1(), tidy_t(), tidy_triangular(), tidy_uniform(), tidy_weibull(), tidy_zero_truncated_geometric()

Other Logistic: tidy_logistic(), util_logistic_param_estimate(), util_logistic_stats_tbl()

Author

Steven P. Sanderson II, MPH

Examples

tidy_paralogistic()
#> # A tibble: 50 × 7
#>    sim_number     x      y     dx           dy     p      q
#>    <fct>      <int>  <dbl>  <dbl>        <dbl> <dbl>  <dbl>
#>  1 1              1  4.85  -2.86  0.000944     0.829  4.85 
#>  2 1              2 46.2    0.892 0.207        0.979 46.2  
#>  3 1              3  3.72   4.64  0.0403       0.788  3.72 
#>  4 1              4  2.14   8.39  0.00809      0.682  2.14 
#>  5 1              5  0.716 12.1   0.00415      0.417  0.716
#>  6 1              6 18.5   15.9   0.0117       0.949 18.5  
#>  7 1              7  3.00  19.6   0.00436      0.750  3.00 
#>  8 1              8 67.1   23.4   0.0000000366 0.985 67.1  
#>  9 1              9  3.58  27.2   0            0.782  3.58 
#> 10 1             10  0.910 30.9   0            0.476  0.910
#> # ℹ 40 more rows