Tidy Randomly Generated Lognormal Distribution Tibble

This function will generate n random points from a lognormal distribution with a user provided, .meanlog, .sdlog, 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_lognormal(
  .n = 50,
  .meanlog = 0,
  .sdlog = 1,
  .num_sims = 1,
  .return_tibble = TRUE
)

Arguments

.n

The number of randomly generated points you want.

.meanlog

Mean of the distribution on the log scale with default 0

.sdlog

Standard deviation of the distribution on the log scale with default 1

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

See also

https://www.itl.nist.gov/div898/handbook/eda/section3/eda3669.htm

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_normal(), tidy_paralogistic(), tidy_pareto(), tidy_pareto1(), tidy_t(), tidy_triangular(), tidy_uniform(), tidy_weibull(), tidy_zero_truncated_geometric()

Other Lognormal: util_lognormal_param_estimate(), util_lognormal_stats_tbl()

Author

Steven P. Sanderson II, MPH

Examples

tidy_lognormal()
#> # A tibble: 50 × 7
#>    sim_number     x     y      dx       dy      p     q
#>    <fct>      <int> <dbl>   <dbl>    <dbl>  <dbl> <dbl>
#>  1 1              1 1.02  -0.788  0.000728 0.510  1.02 
#>  2 1              2 1.43  -0.546  0.00861  0.640  1.43 
#>  3 1              3 0.376 -0.304  0.0557   0.164  0.376
#>  4 1              4 0.642 -0.0618 0.207    0.329  0.642
#>  5 1              5 0.910  0.180  0.460    0.463  0.910
#>  6 1              6 0.258  0.423  0.658    0.0876 0.258
#>  7 1              7 0.440  0.665  0.678    0.206  0.440
#>  8 1              8 0.345  0.907  0.548    0.143  0.345
#>  9 1              9 0.616  1.15   0.344    0.314  0.616
#> 10 1             10 0.470  1.39   0.172    0.225  0.470
#> # ℹ 40 more rows