pempirical {cascsim}

Cumulative probability function of empirical distribution using linear interpolation

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

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

#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))