getExpFromCI {bootComb} R Documentation

## Find the best-fit exponential distribution for a given confidence interval.

### Description

Finds the best-fit exponential distribution for a given confidence interval; returns the corresponding density, distribution, quantile and sampling functions.

### Usage

```getExpFromCI(qLow, qUpp, alpha = 0.05, initPars = 1, maxiter = 1000)
```

### Arguments

 `qLow` The observed lower quantile. `qUpp` The observed upper quantile. `alpha` The confidence level; i.e. the desired coverage is 1-alpha. Defaults to 0.05. `initPars` A single number giving the initial rate parameter value to start the optimisation; defaults to 1. `maxiter` Maximum number of iterations for `optim`. Defaults to 1e3. Set to higher values if convergence problems are reported.

### Value

A list with 5 elements:

 `r` The sampling function. `d` The density function. `p` The distribution function. `q` The quantile function. `pars` A single number giving the rate parameter for the best-fit exponential distribution (`rate` as in `rexp`, `dexp`, `pexp`, `qexp`).

### See Also

`identifyExpPars`, `optim`, `dexp`

### Examples

```n<-getExpFromCI(qLow=0.01,qUpp=1.75)
print(n\$pars) # the fitted rate parameter value
n\$r(10) # 10 random values from the fitted exponential distribution
n\$d(2) # the probability density at x=2 for the exponential distribution
n\$p(1.5) # the cumulative density at x=1.5 for the fitted exponential distribution
n\$q(c(0.25,0.5,0.75)) # the 25th, 50th (median) and 75th percentiles of the fitted distribution
x<-seq(0,5,length=1e3)
y<-n\$d(x)
plot(x,y,type="l",xlab="",ylab="density") # density plot for the fitted exponential distribution

```

[Package bootComb version 1.0.1 Index]