# empirical: Cumulative probability function of empirical distribution... In cascsim: Casualty Actuarial Society Individual Claim Simulator

## Description

Cumulative probability function of empirical distribution using linear interpolation

Quantile function of Empirical Distribution

Random generation function of Empirical Distribution

Density function of Empirical Distribution based on simulation

## Usage

 ```1 2 3 4 5 6 7``` ```pempirical(q, cdf) qempirical(p, cdf) rempirical(n, cdf) dempirical(x, cdf) ```

## Arguments

 `q` Value of the variable `cdf` empirical distribution (cdf for continuous distribution and pmf for discrete distribution) `p` Value of the probability `n` Number of samples `x` Value of the variable

## Examples

 ``` 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16``` ```#discrete distribution pempirical(c(3,5,10),matrix(c(0.1,0.2,0.3,0.05,0.05,0.2,0.1,1:6,10),7,2)) #continuous distribution pempirical(350,matrix(c(seq(0.01,1,0.01),cumprod(c(1,rep(1.1,99)))),100,2)) #discrete distribution qempirical(c(0.3,0.65,1),matrix(c(0.1,0.2,0.3,0.05,0.05,0.2,0.1,1:6,10),7,2)) #continuous distribution qempirical(c(0.3,0.65,0.8),matrix(c(seq(0.01,1,0.01),cumprod(c(1,rep(1.1,99)))),100,2)) #discrete distribution rempirical(100,matrix(c(0.1,0.2,0.3,0.05,0.05,0.2,0.1,1:6,10),7,2)) #continuous distribution rempirical(100,matrix(c(seq(0.01,1,0.01),cumprod(c(1,rep(1.1,99)))),100,2)) #discrete distribution dempirical(3,matrix(c(0.1,0.2,0.3,0.05,0.05,0.2,0.1,1:6,10),7,2)) #continuous distribution dempirical(30,matrix(c(seq(0.01,1,0.01),qnorm(seq(0.01,1,0.01),30,20)),100,2)) ```

cascsim documentation built on Jan. 13, 2020, 5:07 p.m.