Sentence examples for series distributions from inspiring English sources

In a similar context, more recently, Silva et al. (2016) defined a family by compounding the generalized gamma (GGa) and power series distributions.

Equation (9) summarizes some power series distributions (truncated at zero) such as the Poisson, logarithmic and geometric distributions, where C is equal to (e θ −1), − log(1−θ) and θ(1−θ)−1, respectively.

The results obtained show that there was a relatively strong correspondence between soils' series distribution and topographical properties.

The Company has built a strong television presence in production of prime time cable and broadcast network series, distribution and syndication of programming through Debmar-Mercury and an array of channel assets.

Although the univariate Charlier series distribution (Biom. J. 30 8):1988–1009, 1988) and bivariate Charlier series distribution (Biom. J. 37(199505–117, 1995; J. Appl.

For λ k  = log k), the distribution reduces to Dirichlet series distribution with pmf.

Before that, a so-called multivariate zero-adjusted Charlier series distribution is needed to be introduced.

Putting λ k  = k, e − θ  = α, gives power series distribution with pmf.

MLFD is a member of the generalized power series distribution (Patil 1962, 1964) when λ is the primary parameter.

Although the univariate Charlier series distribution (Ong 1988) and bivariate Charlier series distribution (Karlis 2003, Papageorgiou and Loukas 1995) can be easily generalized to the multivariate version via the method of stochastic representation (SR), the multivariate zero-truncated Charlier series (ZTCS) distribution is not available to date.

Furthermore in Section 4, we will introduce multivariate zero-adjusted Charlier series distribution and it can be shown that mathbf{w}^{(1)} sim text{ZDCS} varphi^{(1)}; K,pi, lambda_{1}, ldots, lambda_{r}) quad text{and} quad mathbf{w}^{(2)} sim text{ZDCS} varphi^{(2)}; K,pi, lambda_{r+1}, ldots, lambda_{m}), (2.13).