# pareto2: Pareto 2 (Lomax) and Bernoulli-Pareto 2 distributions In CaDENCE: Conditional Density Estimation Network Construction and Evaluation

## Description

Functions implementing the Pareto 2 (Lomax) and Bernoulli-Pareto 2 distributions. In the latter case, zero values occur with probability `1-prob` and non-zero values follow the Pareto 2 distribution with `scale` and `shape` parameters. `dpareto2` and `dbpareto2` give the probability density functions (pdf); `ppareto2` and `pbpareto2` give the cumulative distribution functions (cdf); `qpareto2` and `qbpareto2` give the quantile functions (inverse cdfs), and `rpareto2` and `rbpareto2` are used for generating random variates.

## Usage

 ```1 2 3 4 5 6 7 8``` ```dpareto2(x, scale, shape) ppareto2(q, scale, shape) qpareto2(p, scale, shape) rpareto2(n, scale, shape) dbpareto2(x, prob, scale, shape) pbpareto2(q, prob, scale, shape) qbpareto2(p, prob, scale, shape) rbpareto2(n, prob, scale, shape) ```

## Arguments

 `x, q` vector of quantiles. `p` vector of cumulative probabilities. `n` number of random samples. `prob` probability of a non-zero value. `scale` scale parameter of the pareto2 distribution. `shape` shape parameter of the pareto2 distribution.

## Value

`dpareto2` and `dbpareto2` gives the pdfs; `ppareto2` and `pbpareto2` gives the cdfs; `qpareto2` and `qbpareto2` gives the inverse cdfs (or quantile functions); and `rpareto2` and `rbpareto2` generate random variates.

## References

Arnold, B.C., 1983. The Pareto Distributions, International Co-operative Publishing House, Fairland, MD.

Lomax, K.S., 1954. Business failures: another example of the analysis of failure data. Journal of the American Statistical Association, 49(268): 847-852.

`bgamma`, `bweibull`, `blnorm`

## Examples

 `1` ``` plot(rbpareto2(365, prob = 0.2, scale = 1, shape = 1), type = "h") ```

### Example output

```Loading required package: pso
```

CaDENCE documentation built on Dec. 5, 2017, 9:03 a.m.