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 0.219   -2.42  0.00122  0.180   0.219  
#>  2 1              2 1.84    -0.867 0.0918   0.648   1.84   
#>  3 1              3 4.01     0.688 0.279    0.800   4.01   
#>  4 1              4 1.64     2.24  0.115    0.621   1.64   
#>  5 1              5 0.00308  3.80  0.0598   0.00307 0.00308
#>  6 1              6 0.589    5.35  0.0467   0.371   0.589  
#>  7 1              7 0.546    6.91  0.0106   0.353   0.546  
#>  8 1              8 0.289    8.46  0.000538 0.224   0.289  
#>  9 1              9 0.0378  10.0   0.00816  0.0365  0.0378 
#> 10 1             10 3.63    11.6   0.00420  0.784   3.63   
#> # ℹ 40 more rows