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_geometric(), 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 2.11  -2.01  0.000744 0.773  2.11 
#>  2 1              2 0.473 -1.59  0.00420  0.227  0.473
#>  3 1              3 0.878 -1.16  0.0173   0.448  0.878
#>  4 1              4 2.56  -0.738 0.0527   0.826  2.56 
#>  5 1              5 0.211 -0.313 0.119    0.0601 0.211
#>  6 1              6 0.375  0.112 0.205    0.164  0.375
#>  7 1              7 3.40   0.537 0.273    0.889  3.40 
#>  8 1              8 3.08   0.962 0.291    0.869  3.08 
#>  9 1              9 0.982  1.39  0.257    0.493  0.982
#> 10 1             10 2.89   1.81  0.201    0.856  2.89 
#> # ℹ 40 more rows