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Negative Log Likelihood value of McDonald Generalized Beta Binomial Distribution

Source: R/Gbeta1.R
NegLLMcGBB.Rd

This function will calculate the negative log likelihood value when the vector of binomial random variables and vector of corresponding frequencies are given with the shape parameters a,b and c.

Usage

NegLLMcGBB(x,freq,a,b,c)

Arguments

x

vector of binomial random variables.

freq

vector of frequencies.

a

single value for shape parameter alpha representing as a.

b

single value for shape parameter beta representing as b.

c

single value for shape parameter gamma representing as c.

Value

The output of NegLLMcGBB will produce a single numeric value.

Details

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

References

Manoj C, Wijekoon P, Yapa RD (2013). “The McDonald generalized beta-binomial distribution: A new binomial mixture distribution and simulation based comparison with its nested distributions in handling overdispersion.” International journal of statistics and probability, 2(2), 24. Janiffer NM, Islam A, Luke O, others (2014). “Estimating Equations for Estimation of Mcdonald Generalized Beta—Binomial Parameters.” Open Journal of Statistics, 4(09), 702. Roozegar R, Tahmasebi S, Jafari AA (2017). “The McDonald Gompertz distribution: properties and applications.” Communications in Statistics-Simulation and Computation, 46(5), 3341--3355.

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

NegLLMcGBB(No.D.D,Obs.fre.1,.2,.3,1)    #acquiring the negative log likelihood value
#> [1] 897.6074