scholarly journals A new trigonometric distribution with bounded support and an application

2021 ◽  
pp. 459-473
Author(s):  
Ahmed M. T. Abd El-Bar ◽  
Hassan S. Bakouch ◽  
Shovan Chowdhury
Keyword(s):  
Bounded Support

Acyclicity of Certain Homeomorphism Groups

1990 ◽  
Vol 42 (1) ◽  
pp. 80-94 ◽  
Author(s):  
P. Sankaran ◽  
K. Varadarajan
Keyword(s):  
Compact Support ◽  
Natural Question ◽  
Bounded Support ◽  
Group Of Homeomorphisms ◽  
Group A ◽  
Homeomorphism Groups

The concept of a mitotic group was introduced in [3] by Baumslag, Dyer and Heller who showed that mitotic groups were acyclic. In [8] one of the authors introduced the concept of a pseudo-mitotic group, a concept weaker than that of a mitotic group, and showed that pseudo-mitotic groups were acyclic and that the group Gnof homeomorphisms of Rn with compact support is pseudo-mitotic. In our present paper we develop techniques to prove pseudomitoticity of certain other homeomorphism groups. In [5] Kan and Thurston observed that the group of set theoretic bijections of Q with bounded support is acyclic. A natural question is to decide whether the group of homeomorphisms of Q (resp. the irrationals I ) with bounded support is acyclic or not. In the present paper we develop techniques to answer this question in the affirmative.

scholarly journals On strict sub-Gaussianity, optimal proxy variance and symmetry for bounded random variables

2020 ◽  
Vol 24 ◽  
pp. 39-55
Author(s):  
Julyan Arbel ◽  
Olivier Marchal ◽  
Hien D. Nguyen
Keyword(s):  
Necessary Conditions ◽  
Sufficient Conditions ◽  
Random Variables ◽  
The Other ◽  
Bounded Support ◽  
Uniform Distributions ◽  
Standard Variance ◽  
Per Se ◽  
The One ◽  
The Relationship

We investigate the sub-Gaussian property for almost surely bounded random variables. If sub-Gaussianity per se is de facto ensured by the bounded support of said random variables, then exciting research avenues remain open. Among these questions is how to characterize the optimal sub-Gaussian proxy variance? Another question is how to characterize strict sub-Gaussianity, defined by a proxy variance equal to the (standard) variance? We address the questions in proposing conditions based on the study of functions variations. A particular focus is given to the relationship between strict sub-Gaussianity and symmetry of the distribution. In particular, we demonstrate that symmetry is neither sufficient nor necessary for strict sub-Gaussianity. In contrast, simple necessary conditions on the one hand, and simple sufficient conditions on the other hand, for strict sub-Gaussianity are provided. These results are illustrated via various applications to a number of bounded random variables, including Bernoulli, beta, binomial, Kumaraswamy, triangular, and uniform distributions.

Multivariate bounded support Laplace mixture model

2020 ◽  
Vol 24 (17) ◽  
pp. 13239-13268
Author(s):  
Muhammad Azam ◽  
Nizar Bouguila
Keyword(s):  
Mixture Model ◽  
Bounded Support

scholarly journals Entropy-Based Fuzzy Twin Bounded Support Vector Machine for Binary Classification

IEEE Access ◽  
2019 ◽  
Vol 7 ◽  
pp. 86555-86569 ◽  
Author(s):  
Sugen Chen ◽  
Junfeng Cao ◽  
Zhong Huang ◽  
Chuansheng Shen
Keyword(s):  
Support Vector Machine ◽  
Binary Classification ◽  
Support Vector ◽  
Bounded Support

Asymptotic profiles of a decaying contaminant in transport through a porous medium

1996 ◽  
Vol 7 (4) ◽  
pp. 395-416 ◽  
Author(s):  
M. Escobedo ◽  
R. E. Grundy
Keyword(s):  
Porous Medium ◽  
Model Equation ◽  
Large Time ◽  
Travelling Waves ◽  
Reaction Model ◽  
Time Profiles ◽  
Bounded Support ◽  
Reduced Equations ◽  
Three Space ◽  
Asymptotic Matching

In this paper we construct formal large-time solutions of a model equation, with initial data possessing bounded support, describing transport of a reacting and decaying contaminant in a porous medium. This we do in one, two and three space dimensions where, depending on the reaction model used, the solution may or may not have bounded support for all time. In the former case, working with what we call the reduced equation, we prove convergence, in one space dimension, to an outer limit as t → ∞. The outer solution has to be supplemented by inner solutions valid near the edges of the support. These inner solutions take the form of decaying travelling waves which we analyse using phase plane methods. Using the travelling waves as sub- and super-solutions, we establish the large-time behaviour of the interfaces which we refine using asymptotic matching. These ideas can be formally extended to higher space dimensions where we deduce the shape of the support of the large-time profiles which turns out to be ellipsoidal. For reaction models where the support is unbounded we prove convergence of the solution of the reduced equation to a travelling and decaying fundamental solution of the linear heat equation with convection and absorption. Finally, we indicate how the results for the reduced equations can be formally embedded in an asymptotic analysis of the original model equation.

scholarly journals Bounded Support and Confidence over Evidential Databases

2016 ◽  
Vol 80 ◽  
pp. 1822-1833 ◽  
Author(s):  
Ahmed Samet ◽  
Tien Tuan Dao
Keyword(s):  
Bounded Support
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