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# Tidy Randomly Generated Zero Truncated Poisson Distribution Tibble

Source: `R/random-tidy-zero-truc-poisson.R`
`tidy_zero_truncated_poisson.Rd`

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()`

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

Other Discrete Distribution: `tidy_bernoulli()`, `tidy_binomial()`, `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 0.0786 0.00936 0.582     1
    #>  2 1              2     1 0.239  0.0389  0.582     1
    #>  3 1              3     1 0.399  0.123   0.582     1
    #>  4 1              4     1 0.559  0.297   0.582     1
    #>  5 1              5     3 0.719  0.547   0.970     3
    #>  6 1              6     1 0.879  0.769   0.582     1
    #>  7 1              7     1 1.04   0.826   0.582     1
    #>  8 1              8     1 1.20   0.683   0.582     1
    #>  9 1              9     1 1.36   0.450   0.582     1
    #> 10 1             10     2 1.52   0.277   0.873     2
    #> # ℹ 40 more rows