Calculate the log likelihood of the negative binomial function (and its derivatives)

llikNbinomMu(x, size, mu, full = FALSE)

Arguments

x: Number of successes
size: Size of trial
mu: mu parameter for negative binomial
full: Add the data frame showing x, mean, sd as well as the fx and derivatives

Value

data frame with fx for the pdf value of with dProb that has the derivatives with respect to the parameters at the observation time-point

Author

Matthew L. Fidler

Examples


llikNbinomMu(46:54, 100, 40)
#>          fx       dMu
#> 1 -3.326828 0.1071429
#> 2 -3.446132 0.1250000
#> 3 -3.579663 0.1428571
#> 4 -3.727034 0.1607143
#> 5 -3.887874 0.1785714
#> 6 -4.061827 0.1964286
#> 7 -4.248554 0.2142857
#> 8 -4.447728 0.2321429
#> 9 -4.659037 0.2500000

llikNbinomMu(46:54, 100, 40, TRUE)
#>    x size mu        fx       dMu
#> 1 46  100 40 -3.326828 0.1071429
#> 2 47  100 40 -3.446132 0.1250000
#> 3 48  100 40 -3.579663 0.1428571
#> 4 49  100 40 -3.727034 0.1607143
#> 5 50  100 40 -3.887874 0.1785714
#> 6 51  100 40 -4.061827 0.1964286
#> 7 52  100 40 -4.248554 0.2142857
#> 8 53  100 40 -4.447728 0.2321429
#> 9 54  100 40 -4.659037 0.2500000