EstMLEGrassiaIIBin {fitODBOD} | R Documentation |
Estimating the shape parameters a and b for Grassia II Binomial distribution
Description
The function will estimate the shape parameters using the maximum log likelihood method for the Grassia II Binomial distribution when the binomial random variables and corresponding frequencies are given.
Usage
EstMLEGrassiaIIBin(x,freq,a,b,...)
Arguments
x |
vector of binomial random variables. |
freq |
vector of frequencies. |
a |
single value for shape parameter a. |
b |
single value for shape parameter b. |
... |
mle2 function inputs except data and estimating parameter. |
Details
0 < a,b
x = 0,1,2,...
freq \ge 0
NOTE : If input parameters are not in given domain conditions necessary error messages will be provided to go further.
Value
EstMLEGrassiaIIBin
here is used as a wrapper for the mle2
function of bbmle package
therefore output is of class of mle2.
References
Grassia A (1977). “On a family of distributions with argument between 0 and 1 obtained by transformation of the gamma and derived compound distributions.” Australian Journal of Statistics, 19(2), 108–114.
Examples
No.D.D <- 0:7 #assigning the random variables
Obs.fre.1 <- c(47,54,43,40,40,41,39,95) #assigning the corresponding frequencies
#estimating the parameters using maximum log likelihood value and assigning it
parameters <- EstMLEGrassiaIIBin(x=No.D.D,freq=Obs.fre.1,a=0.1,b=0.1)
bbmle::coef(parameters) #extracting the parameters