dinb.fun: Function for DInb

In GWI: Count and Continuous Generalized Variability Indexes

Description

The function computes the negative binomial dispersion index for a given dispersion parameter l\in (0,∞).

Usage

dinb.fun(X, l)

Arguments

X	A count random variable
l	The dispersion parameter of negative binomial distribution

Details

dinb.fun computes the dispersion index with respect to negative binomial distribution. See Touré et al. (2020) and Abid et al. (2021) for more details.

Value

Returns

dinb	The negative binomial dispersion index

Author(s)

Aboubacar Y. Touré and Célestin C. Kokonendji

References

Abid, R.,Kokonendji, C.C. and Masmoudi, A. (2021). On Poisson-exponential-Tweedie models for ultra-overdispersed count data, AStA Advances in Statistical Analysis 105, 1-23.

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.

Examples

X<-c(12,9,0,8,5,7,6,5,3,4,9,4)
dinb.fun(X,12)
Y<-c(0,6,1,3,4,2,5)
dinb.fun(Y,7)

GWI documentation built on Feb. 26, 2021, 1:06 a.m.