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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,
  .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()

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  0.788 -2.74 1.02e- 3 0.441  0.788
#>  2 1              2  0.419  1.36 2.13e- 1 0.296  0.419
#>  3 1              3  2.61   5.45 2.18e- 2 0.723  2.61 
#>  4 1              4  1.77   9.55 1.19e- 2 0.638  1.77 
#>  5 1              5  0.264 13.6  6.42e- 6 0.209  0.264
#>  6 1              6 81.0   17.7  2.60e-17 0.988 81.0  
#>  7 1              7  0.514 21.8  0        0.339  0.514
#>  8 1              8  0.516 25.9  4.16e-18 0.340  0.516
#>  9 1              9  0.933 30.0  0        0.483  0.933
#> 10 1             10  0.186 34.1  3.51e-16 0.157  0.186
#> # ℹ 40 more rows