EstMLEGammaBin {fitODBOD} | R Documentation |
The function will estimate the shape parameters using the maximum log likelihood method for the Gamma Binomial distribution when the binomial random variables and corresponding frequencies are given.
EstMLEGammaBin(x,freq,c,l,...)
x |
vector of binomial random variables. |
freq |
vector of frequencies. |
c |
single value for shape parameter c. |
l |
single value for shape parameter l. |
... |
mle2 function inputs except data and estimating parameter. |
0 < c,l
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.
EstMLEGammaBin
here is used as a wrapper for the mle2
function of bbmle package
therefore output is of class of mle2.
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.
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 <- EstMLEGammaBin(x=No.D.D,freq=Obs.fre.1,c=0.1,l=0.1)
bbmle::coef(parameters) #extracting the parameters