R/Gbeta1.R
NegLLMcGBB.RdThis 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.
NegLLMcGBB(x,freq,a,b,c)
| 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. |
The output of NegLLMcGBB will produce a single numeric value.
$$0 < a,b,c $$ $$freq \ge 0$$ $$x = 0,1,2,...$$
Manoj, C., Wijekoon, P. & Yapa, R.D., 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), pp.24-41.
Available at: http://www.ccsenet.org/journal/index.php/ijsp/article/view/23491.
Janiffer, N.M., Islam, A. & Luke, O., 2014. Estimating Equations for Estimation of Mcdonald Generalized Beta - Binomial Parameters. , (October), pp.702-709.
Roozegar, R., Tahmasebi, S. & Jafari, A.A., 2015. The McDonald Gompertz Distribution: Properties and Applications. Communications in Statistics - Simulation and Computation, (May), pp.0-0.
Available at: http://www.tandfonline.com/doi/full/10.1080/03610918.2015.1088024.
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