fitODBOD (version 1.5.3)

EstMLETriBin: Estimating the mode value for Triangular Binomial Distribution

Description

The function will estimate the mode value using the maximum log likelihood method for the Triangular Binomial Distribution when the binomial random variables and corresponding frequencies are given.

Usage

EstMLETriBin(x,freq)

Value

The output of EstMLETriBin will produce the classes of ml and mlTB

format consisting

min Negative log likelihood value.

mode Estimated mode value.

AIC AIC value.

call the inputs for the function.

Methods print, summary, coef and AIC can be used to extract specific outputs.

Arguments

x

vector of binomial random variables.

freq

vector of frequencies.

Details

$$0 < mode=c < 1$$ $$x = 0,1,2,...$$ $$freq \ge 0$$

NOTE : If input parameters are not in given domain conditions necessary error messages will be provided to go further.

References

horsnell1957economicalfitODBOD karlis2008polygonalfitODBOD okagbue2014usingfitODBOD

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

if (FALSE) {
#estimating the mode value and extracting the mode value
results <- EstMLETriBin(No.D.D,Obs.fre.1)

# extract the mode value and summary
coef(results)
summary(results)

AIC(results)  #show the AIC value
}