Tidy Randomly Generated Zero Truncated Poisson Distribution Tibble

This function will generate n random points from a Zero Truncated 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_zero_truncated_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 actuar::rztpois(), and its underlying p, d, and q functions. For more information please see actuar::rztpois()

See also

https://openacttexts.github.io/Loss-Data-Analytics/ChapSummaryDistributions.html

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

Other Zero Truncated Distribution: tidy_zero_truncated_binomial(), tidy_zero_truncated_geometric(), util_zero_truncated_binomial_param_estimate()

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

Author

Steven P. Sanderson II, MPH

Examples

tidy_zero_truncated_poisson()
#> # A tibble: 50 × 7
#>    sim_number     x     y    dx      dy     p     q
#>    <fct>      <int> <int> <dbl>   <dbl> <dbl> <dbl>
#>  1 1              1     1 0.202 0.00934 0.582     1
#>  2 1              2     2 0.275 0.0206  0.873     2
#>  3 1              3     1 0.349 0.0420  0.582     1
#>  4 1              4     1 0.422 0.0794  0.582     1
#>  5 1              5     2 0.495 0.139   0.873     2
#>  6 1              6     1 0.569 0.226   0.582     1
#>  7 1              7     2 0.642 0.340   0.873     2
#>  8 1              8     2 0.716 0.474   0.873     2
#>  9 1              9     3 0.789 0.613   0.970     3
#> 10 1             10     1 0.862 0.734   0.582     1
#> # ℹ 40 more rows