Negative Log Likelihood value of Triangular Binomial Distribution

Source:R/Triangle.R

NegLLTriBin.Rd

This function will calculate the Negative Log Likelihood value when the vector of binomial randomvariables and vector of corresponding frequencies are given with the mode value.

Usage

NegLLTriBin(x,freq,mode)

Arguments

x: vector of binomial random variables.
freq: vector of frequencies.
mode: single value for mode.

Value

The output ofNegLLTriBin will produce a single numeric value.

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

Horsnell G (1957).“Economical acceptance sampling schemes.”Journal of the Royal Statistical Society. Series A (General),120(2), 148--201.Karlis D, Xekalaki E (2008).The polygonal distribution.Springer.Okagbue HI, Edeki SO, Opanuga AA, Oguntunde PE, Adeosun ME (2014).“Using the Average of the Extreme Values of a Triangular Distribution for a Transformation, and Its Approximant via the Continuous Uniform Distribution.”British Journal of Mathematics and Computer Science,4(24), 3497.

Examples

No.D.D<-0:7#assigning the Random variablesObs.fre.1<-c(47,54,43,40,40,41,39,95)#assigning the corresponding frequenciesNegLLTriBin(No.D.D,Obs.fre.1,.023)#acquiring the Negative log likelihood value#> [1] 953.9621