Description Usage Arguments Value See Also Examples
View source: R/fitDistributionsToCIs.R
Finds the best-fit exponential distribution for a given confidence interval; returns the corresponding density, distribution, quantile and sampling functions.
1 | getExpFromCI(qLow, qUpp, alpha = 0.05, initPars = 1, maxiter = 1000)
|
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 |
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 ( |
1 2 3 4 5 6 7 8 9 | 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
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