• Corpus ID: 236635291

A New Class of Non-Central Dirichlet Distributions

@inproceedings{Orsi2021ANC,
  title={A New Class of Non-Central Dirichlet Distributions},
  author={Carlo Orsi},
  year={2021}
}
  • C. Orsi
  • Published 30 July 2021
  • Mathematics
In the present paper new light is shed on the non-central extensions of the Dirichlet distribution. Due to several probabilistic and inferential properties and to the easiness of parameter interpretation, the Dirichlet distribution proves the most well-known and widespread model on the unitary simplex. However, despite its many good features, such distribution is inadequate for modeling the data portions next to the vertices of the support due to the strictness of the limiting values of its… 

Figures and Tables from this paper

References

SHOWING 1-10 OF 21 REFERENCES

On the conditional noncentral beta distribution

  • C. Orsi
  • Mathematics
    Statistica Neerlandica
  • 2021
The beta family owes its privileged status within unit interval distributions to several relevant features such as, for example, easiness of interpretation and versatility in modeling different types

BIVARIATE GENERALIZATION OF THE KUMMER-BETA DISTRIBUTION

In this article, we study several properties such as marginal and conditional distributions, joint moments, and mixture representation of the bivariate generalization of the Kummer-Beta distribution.

Univariate Discrete Distributions

Here are two books on a topic new to Technometrics: statistical and mathematical demography. The first author of Applied Mathematical Demography wrote the first two editions of this book alone. The

Some results on non-central beta distributions

TLDR
Several properties are derived both for the new and the standard non-central beta distribution, showing a greater tractability and interpretability of the former.

The noncentral chi-squared distribution with zero degrees of freedom and testing for uniformity

Abstract : The noncentral chi-squared distribution with zero degrees of freedom is defined as a Poisson mixture of mass at zero together with chi-squared distributions that have even degrees of

The Population Dynamics of a Long-Lived Conifer (Pinus palustris)

TLDR
It is suggested that longleaf pine maintains the environment in an open state suitable for its own regeneration by transmuting a localized disturbance into a widespread disturbance (ground fires) and this regeneration pattern represents a spatial analogue to stochastic boundedness over time, and it may enhance the local persistence of longleaf Pine populations.

Tang

“Bǐjì” ( 笔记 ) or literati miscellaneous notes in this paper is referred to a sort of writings or miscellany covering a wide array of themes and subjects included in various descriptions such as

A space-time survival point process for a longleaf pine forest in Southern Georgia

Abstract A marked spatial point pattern of trees and their diameters is the result of a dynamic biological process that takes place over time as well as space. Such patterns can be modeled as

Simulation Modeling and Analysis

TLDR
The text is designed for a one-term or two-quarter course in simulation offered in departments of industrial engineering, business, computer science and operations research.

ON CHARACTERIZATION OF THE GAMMA DISTRIBUTION.

Abstract : Let X sub 1, X sub 2,... be a sequence of i.i.d. random variables and S sub n = summation, j = 1 to j = n, of X sub j. If X sub 1 has a gamma distribution, (Z sub n is identically equal to