dib.fun {GWI}

Function for DIb

Description

The function computes the binomial dispersion index for a given number of trials N\in \{1,2,\ldots\}.

Usage

dib.fun(X, N)

Arguments

X

A count random variable

N

The number of trials of binomial distribution

Details

dib.fun computes the dispersion index with respect to the binomial distribution. See Touré et al. (2020) and Weiss (2018) for more details.

Value

Returns

dib

The binomial dispersion index

Author(s)

Aboubacar Y. Touré and Célestin C. Kokonendji

References

Touré, A.Y., Dossou-Gbété, S. and Kokonendji, C.C. (2020). Asymptotic normality of the test statistics for relative dispersion and relative variation indexes, Journal of Applied Statistics 47, 2479-2491.

Weiss, C.H. (2018). An Introduction to Discrete-Valued Times Series. Wiley, Hoboken NJ.

Examples

X<-c(12,9,0,8,5,7,6,5,3,4,9,4)
dib.fun(X,12)
Y<-c(0,0,1,1,0,1,1)
dib.fun(Y,7)