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On Johnson’s “Sufficientness” Postulates for Feature-Sampling Models

open access: yesMathematics, 2021
In the 1920s, the English philosopher W.E. Johnson introduced a characterization of the symmetric Dirichlet prior distribution in terms of its predictive distribution. This is typically referred to as Johnson’s “sufficientness” postulate, and it has been
Federico Camerlenghi, Stefano Favaro
doaj   +1 more source

Efficient Feature Mapping in Classifying Proportional Data

open access: yesIEEE Access, 2021
In image classification, traditional kernels or feature mapping functions of Support Vector Machine(SVM) use discriminative features without considering the true nature of the data.
Md. Hafizur Rahman, Nizar Bouguila
doaj   +1 more source

3VSR: Three Valued Secure Routing for Vehicular Ad Hoc Networks using Sensing Logic in Adversarial Environment

open access: yesSensors, 2018
Today IoT integrate thousands of inter networks and sensing devices e.g., vehicular networks, which are considered to be challenging due to its high speed and network dynamics.
Muhammad Sohail, Liangmin Wang
doaj   +1 more source

Modeling the Dirichlet distribution using multiplicative functions

open access: yesNonlinear Analysis, 2020
For q,m,n,d ∈ N and some multiplicative function f > 0, we denote by T3(n) the sum of f(d) over the ordered triples (q,m,d) with qmd = n. We prove that Cesaro mean of distribution functions defined by means of T3 uniformly converges to the one-parameter ...
Gintautas Bareikis, Algirdas Mačiulis
doaj   +1 more source

The two-parameter Poisson--Dirichlet point process [PDF]

open access: yes, 2009
The two-parameter Poisson--Dirichlet distribution is a probability distribution on the totality of positive decreasing sequences with sum 1 and hence considered to govern masses of a random discrete distribution.
Handa, Kenji
core   +1 more source

A characterization of Dirichlet distributions

open access: yesJournal of Multivariate Analysis, 1988
\textit{J. N. Darroch} and \textit{D. Ratcliff} [J. Am. Stat. Assoc. 66, 641- 643 (1971; Zbl 0228.62009)] have given a characterization of the Dirichlet distributions based on the properties of independence of various functions of the random variables \((X_ 1,X_ 2,...,X_ k)\) having a joint continuous distribution over the k-dimensional simplex: \(0 ...
Rao, B.V, Sinha, Bikas K
openaire   +1 more source

New statistical inference for the Weibull distribution [PDF]

open access: yesTutorials in Quantitative Methods for Psychology, 2015
Weibull distribution has become a popular tool for modeling life data and improving growth in the field of reliability. The successful application of Weibull distribution to real data depends on the statistical power of hypotheses tests to a large extent.
Zhao, X.   +4 more
doaj   +1 more source

Understanding Hierarchical Processes

open access: yesEntropy, 2022
Hierarchical stochastic processes, such as the hierarchical Dirichlet process, hold an important position as a modelling tool in statistical machine learning, and are even used in deep neural networks.
Wray Buntine
doaj   +1 more source

The supervised hierarchical Dirichlet process [PDF]

open access: yes, 2014
We propose the supervised hierarchical Dirichlet process (sHDP), a nonparametric generative model for the joint distribution of a group of observations and a response variable directly associated with that whole group.
Dai, Andrew M., Storkey, Amos J.
core   +1 more source

Properties of Noncentral Dirichlet Distributions

open access: yesComputers & Mathematics with Applications, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sánchez, L.E., Nagar, D.K., Gupta, A.K.
openaire   +1 more source

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