Tidy Randomly Generated Poisson Distribution Tibble

This function will generate n random points from a Poisson distribution with a user provided, .lambda, 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_poisson(.n = 50, .lambda = 1, .num_sims = 1, .return_tibble = TRUE)

Arguments

.n

The number of randomly generated points you want.

.lambda

A vector of non-negative means.

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

See also

https://r-coder.com/poisson-distribution-r/

https://en.wikipedia.org/wiki/Poisson_distribution

Other Poisson: tidy_zero_truncated_poisson(), util_poisson_param_estimate(), util_poisson_stats_tbl(), util_zero_truncated_poisson_param_estimate(), util_zero_truncated_poisson_stats_tbl()

Other Discrete Distribution: tidy_bernoulli(), tidy_binomial(), tidy_geometric(), tidy_hypergeometric(), tidy_negative_binomial(), tidy_zero_truncated_binomial(), tidy_zero_truncated_negative_binomial(), tidy_zero_truncated_poisson()

Author

Steven P. Sanderson II, MPH

Examples

tidy_poisson()
#> # A tibble: 50 × 7
#>    sim_number     x     y       dx      dy     p     q
#>    <fct>      <int> <int>    <dbl>   <dbl> <dbl> <dbl>
#>  1 1              1     0 -1.18    0.00340 0.368     0
#>  2 1              2     1 -1.05    0.00868 0.736     1
#>  3 1              3     1 -0.917   0.0198  0.736     1
#>  4 1              4     0 -0.788   0.0407  0.368     0
#>  5 1              5     2 -0.658   0.0748  0.920     2
#>  6 1              6     2 -0.528   0.123   0.920     2
#>  7 1              7     2 -0.399   0.183   0.920     2
#>  8 1              8     2 -0.269   0.243   0.920     2
#>  9 1              9     1 -0.139   0.292   0.736     1
#> 10 1             10     1 -0.00972 0.319   0.736     1
#> # ℹ 40 more rows