Tidy Randomly Generated Zero Truncated Poisson Distribution Tibble — tidy_zero_truncated_poisson • TidyDensity
Description: 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.

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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)

## 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.

## 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 0.00846 0.582     1
    #>  2 1              2     1 0.177  0.0211  0.582     1
    #>  3 1              3     1 0.276  0.0472  0.582     1
    #>  4 1              4     2 0.375  0.0956  0.873     2
    #>  5 1              5     2 0.474  0.174   0.873     2
    #>  6 1              6     1 0.573  0.287   0.582     1
    #>  7 1              7     1 0.672  0.426   0.582     1
    #>  8 1              8     1 0.770  0.570   0.582     1
    #>  9 1              9     1 0.869  0.688   0.582     1
    #> 10 1             10     1 0.968  0.751   0.582     1
    #> # ℹ 40 more rows