A Note on Bhattacharyya Bounds for the Negative Binomial Distribution

A Note on N Estimators for the Binomial Distribution

Consider k success counts from a binomial distribution with unknown N and success probability p. We consider the problem of estimating N. By integrating the likelihood for Nand p over a beta density for p, we obtain the beta-binomial distribution which results in stable and reasonably efficient estimators of N, which compare favorably with and are often better than the estimates introduced by O...

The Weibull Negative Binomial Distribution

We propose the Weibull negative binomial distribution that is a quite flexible model to analyze positive data, and includes as special submodels the Weibull, Weibull Poisson and Weibull geometric distributions. Some of its structural properties follow from the fact that its density function can be expressed as a mixture of Weibull densities. We provide explicit expressions for moments, generati...

On Hypergeometric Generalized Negative Binomial Distribution

A note on the bounds of Laplacian-energy-like-invariant

The Laplacian-energy-like of a simple connected graph G is defined as LEL:=LEL(G)=∑_(i=1)^n√(μ_i ), Where μ_1 (G)≥μ_2 (G)≥⋯≥μ_n (G)=0 are the Laplacian eigenvalues of the graph G. Some upper and lower bounds for LEL are presented in this note. Moreover, throughout this work, some results related to lower bound of spectral radius of graph are obtained using the term of ΔG as the num...

On Some Negative Integer Moments of Quasi-Negative-Binomial Distribution