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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
)

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.

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()

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  0.330 -3.05  0.00111      0.248  0.330
#>  2 1              2  3.75   0.619 0.226        0.789  3.75 
#>  3 1              3  4.72   4.28  0.0604       0.825  4.72 
#>  4 1              4 27.2    7.95  0.00488      0.965 27.2  
#>  5 1              5  0.237 11.6   0.00842      0.192  0.237
#>  6 1              6  0.557 15.3   0.00290      0.358  0.557
#>  7 1              7  3.21  18.9   0.0000000368 0.762  3.21 
#>  8 1              8  1.52  22.6   0.000000415  0.604  1.52 
#>  9 1              9  2.36  26.3   0.00605      0.702  2.36 
#> 10 1             10  0.127 29.9   0.00281      0.113  0.127
#> # ℹ 40 more rows