Q-exponential distribution
The q-exponential distribution is a probability distribution arising from the maximization of the Tsallis entropy under appropriate constraints, including constraining the domain to be positive. It is one example of a Tsallis distribution. The q-exponential is a generalization of the exponential distribution in the same way that Tsallis entropy is a generalization of standard Boltzmann–Gibbs entropy or Shannon Entropy. The exponential distribution is recovered as q \rightarrow 1.

This is an excerpt from the article Q-exponential distribution from the Wikipedia free encyclopedia. A list of authors is available at Wikipedia.
The article Q-exponential distribution at en.wikipedia.org was accessed 488 times in the last 30 days. (as of: 06/11/2014)
Images on Q-exponential distribution
Preview image:
Original:
Search results from Google and Bing
1
>30
1
q-exponential distribution - Wikipedia, the free encyclopedia
The Q-exponential distribution is a probability distribution arising from the maximization of the Tsallis entropy under appropriate constraints, including ...
en.wikipedia.org/wiki/Q-exponential_distribution
2
>30
2
q-distributions in complex systems: a brief review
Aug 5, 2009 ... The Q-exponential distribution is given by the probability density function ... tial distribution in the same way in which the q-exponential function ...
www.sbfisica.org.br/bjp/files/v39_468.pdf
3
>30
3
A new look at q-exponential distributions via excess ... - ESIEE Paris
Abstract. Q-exponential distributions play an important role in nonextensive statistics. ... Let us recall that q−exponential distributions are defined by fq,β (x) = 1.
www.esiee.fr/~bercherj/New/pubs/excess_paper_revised.pdf
4
>30
4
A g-Exponential regression model - IME-USP
Keywords. Q-exponential distribution, maximum-likelihood estimator, regres- ... The Q-exponential distribution emerges from the nonextensive statistical me-.
www.ime.usp.br/~patriota/regression-tsallis.pdf
5
>30
5
The uncertainty measure for q-exponential distribution ... - arXiv.org
Abstract: Based on the Q-exponential distribution which has been observed in more ... Keywords: Q-exponential distribution, VarEntropy method, MaxEnt, ...
arxiv.org/pdf/1009.0937
6
>30
6
q-Exponential Distribution in Urban Agglomeration
Sep 13, 2001 ... Here, we argue that the distribution of cities for all ranges of populations can be well described by using a $q$-exponential distribution.
arxiv.org/abs/cond-mat/0109232
7
>30
7
[math/0701854] Maximum Likelihood Estimation for q-Exponential ...
Jan 29, 2007... the method of maximum likelihood to estimate the parameters of the ``$q$-exponential'' distributions introduced by Tsallis and collaborators.
arxiv.org/abs/math/0701854
8
>30
8
q-exponential, Weibull, and q-Weibull distributions: an empirical ...
Jan 28, 2003... In a comparative study, the q-exponential and Weibull distributions are ... distribution, the q-Weibull one, which interpolates the q-exponential ...
arxiv.org/abs/cond-mat/0301552
9
>30
9
The q-exponential family in statistical physics - Abstract - Journal of ...
The configurational density distribution belongs to the q-exponential family. The definition of the temperature of small isolated systems is discussed. It depends ...
iopscience.iop.org/1742-6596/201/1/012003
10
>30
10
The uncertainty measure for q-exponential distribution function ...
May 1, 2013 ... Based on the Q-exponential distribution which has been observed in more and more physical systems, the uncertainty measure of such an ...
link.springer.com/article/10.1007%2Fs11434-012-5664-3
Search results for "Q-exponential distribution"
Google: approx. 21.700.000
Q-exponential distribution in science
[math/0701854] Maximum Likelihood Estimation for q-Exponential ...
Jan 29, 2007... Rohilla Shalizi (Statistics Department, Carnegie Mellon University) ... the parameters of the ``$q$-exponential'' distributions introduced by ...
[PDF]The uncertainty measure for q-exponential distribution ... - arXiv.org
3Department of Physics, Xiamen University, Xiamen 361005, China. Abstract: Based on the Q-exponential distribution which has been observed in more.
q-exponential distribution - Wikipedia, the free encyclopedia
Probability density plots of Q-exponential distributions ... under Uncertainty", Centre of Full Employment and Equity, The University of Newcastle, Australia ...
The uncertainty measure for q -exponential distribution function
1 College of Information Science and Engineering, Huaqiao University, Xiamen ... Based on the Q-exponential distribution which has been observed in more and  ...
[PDF]Maximum Likelihood Estimation for q-Exponential (Tsallis ...
Jun 1, 2007 ... Maximum Likelihood Estimation for q-. Exponential (Tsallis) Distributions. Cosma R. Shalizi. Carnegie Mellon University, cshalizi@andrew.cmu.
What is the best way to derive q-exponential distribution which is ...
Jul 3, 2013 ... What is the best way to derive Q-exponential distribution which is ... do in order to obtain the canonical distribution of Boltzmann and Gibbs) the ...
The uncertainty measure for q-exponential distribution function ...
May 1, 2013 ... Based on the Q-exponential distribution which has been observed in .... of Information Science and Engineering, Huaqiao University, Xiamen, ...
[PDF]The uncertainty measure for q-exponential distribution ... - Springer
3 Department of Physics, Xiamen University, Xiamen 361005, China. Received April 13, 2012; accepted June 10, 2012. Based on the Q-exponential distribution  ...
[PDF]Exponential and normal distributions - the Australian Mathematical ...
Exponential and normal distributions – A guide for teachers (Years 11–12). Professor Ian Gordon, University of Melbourne ..... Let q be a number between 0 and ...
Books on the term Q-exponential distribution
Exponential Distribution: Theory, Methods and Applications
Exponential Distribution: Theory, Methods and Applications
K. Balakrishnan, 1996
This volume provides a systematic and comprehensive synthesis of the diverse literature on the theory and applications of the exponential distribution.
Starting Electronics, Fourth Edition
Starting Electronics, Fourth Edition
Keith Brindley, 2011
Starting Electronics is unrivalled as a highly practical introduction for technicians, non-electronic engineers, software engineers, students, and hobbyists. Keith Brindley introduces readers to the functions of the main component types, their uses, and the basic principles of building and designing electronic circuits. Breadboard layouts make this...
Continuous Multivariate Distributions, Models and Applications
Continuous Multivariate Distributions, Models and Applications
Samuel Kotz, N. Balakrishnan, Norman L. Johnson, 2004
Then, as defined by Urziia (1988), a random vector X I (X1, . . . ,Xk)T is said to have a multivariate Q— exponential distribution if the joint density function is of the form p(a:) I 0(c)e_Q(m), m 6 IR'“, where 0(a) is the normalizing constant. Suppose ...
Analysis of Complex Networks: From Biology to Linguistics
Analysis of Complex Networks: From Biology to Linguistics
Matthias Dehmer, Frank Emmert-Streib, 2009
In the special and important case for q-exponential degree distributions, the entropy coincides with the Tsallis entropy (however, care must be taken for the constraints under maximization). A q-exponential degree distribution is given by ...
Market Liquidity: Theory, Evidence, and Policy
Market Liquidity: Theory, Evidence, and Policy
Thierry Foucault, 2013
"Market Liquidity by Professors Foucault, Pagano and Röell is a wonderful addition to the literature on how markets work; why, sometimes, they don't work as we might wish; and how this affects regulation and corporate decision making. The book is rich in detail, covering the institutional structure of financial markets and the economic an...
Elements of Distribution Theory
Elements of Distribution Theory
Thomas A. Severini, 2005
dxn Jo \ j^i I /»oo /-o = I JO Jo an )— exp " It follows that if X has an exponential distribution with parameter 6, then aX ... D In many cases, the parameter space of a transformation model is isomorphic to the group of transformations Q. That is, ...
The Certified Reliability Engineer Handbook, Second Edition
The Certified Reliability Engineer Handbook, Second Edition
2013
The reliability engineer is a professional who understands the principles of performance evaluation and prediction to improve product/systems safety, reliability and maintainability. The structure of this book is based on that of the Body of Knowledge specified by ASQ for the Certified Reliability Engineer, which includes design review and control;...
Chaos, Nonlinearity, Complexity: The Dynamical Paradigm of ...
Chaos, Nonlinearity, Complexity: The Dynamical Paradigm of ...
Ashok Sengupta, 2006
p { Sq[p] − α ( ∑Wi=1pi − 1 ) − β ( ∑Wi=1 P(q)i εi − Uq )} =0. (2.2.8) δ The normalized solution to this problem is given by the so-called Q-exponential distribution ̃pi=1Zq(β)eq(−β∗(εi− ̃Uq)), (2.2.9a) Zq(β)= W∑ i=1 eq(−β∗(εi− ̃Uq)), ( 2.2.9b) ...
An Introduction to Copulas (Springer Series in Statistics)
An Introduction to Copulas (Springer Series in Statistics)
Roger B. Nelsen, 2007
The study of copulas and their role in statistics is a new but vigorously growing field. In this book the student or practitioner of statistics and probability will find discussions of the fundamental properties of copulas and some of their primary applications. The applications include the study of dependence and measures of association, and the c...
Development of Google searches


Blog posts on the term
Q-exponential distribution
Entropy | Free Full-Text | Geometry of q-Exponential Family of Probability Distributions
The Gibbs distribution of statistical physics is an exponential family of probability distributions, which has a mathematical basis of duality in the form of the Legendre transformation. Recent studies of complex systems have found lots of distributions obeying the power law rather than the standard Gibbs type distributions. The Tsallis q-entropy is a typical example capturing such phenomena. We treat the q-Gibbs distribution or the q-exponential family by generalizing the exponential function to the q-family of power functions, which is useful for studying various complex or non-standard physical phenomena. We give a new mathematical structure to the q-exponential family different from those previously given. It has a dually flat geometrical structure derived from the Legendre transformation and the conformal geometry is useful for understanding it. The q-version of the maximum entropy theorem is naturally induced from the q-Pythagorean theorem. We also show that the maximizer of the q-escort distribution is a Bayesian MAP (Maximum A posteriori Probability) estimator.
www.mdpi.com/1099-4300/13/6/1170
The Reference Frame: Flux repulsion may make a tiny C.C. natural
The best theoretical physics blog that the search engine can offer you, by a Czech conservative string theorist, focusing on high-energy physics and the climate change facts
motls.blogspot.com/2013/11/flux-repulsion-may-make-tiny-cc-natural.html
The Ultimate Univariate Probability Distribution Explorer—Wolfram Blog
Download Ultimate Univariate Probability Distribution Explorer to access formulas for more than 500 distributions and 60 properties options. Soon to be part of Wolfram|Alpha.
blog.wolfram.com/2013/02/01/the-ultimate-univariate-probability-distribution-explorer/
List of Continuous distributions
type your blog description here
www.statweb.info/2012/05/list-of-continuous-distributions.html
Phys. Rev. E 87, 052104 (2013): Log-amplitude statistics for Beck-Cohen superstatistics
pre.aps.org/abstract/PRE/v87/i5/e052104
survival - Obtaining a log-normal waiting time via sequential exponential or gamma distributions - is it possible? - Cross Validated
stats.stackexchange.com/questions/47676/obtaining-a-log-normal-waiting-time-via-sequential-exponential-or-gamma-distribu
Biology Direct | Full text | Parabolic replicator dynamics and the principle of minimum Tsallis information gain
Non-linear, parabolic (sub-exponential) and hyperbolic (super-exponential) models of prebiological evolution of molecular replicators have been proposed and extensively studied. The parabolic models appear to be the most realistic approximations of real-life replicator systems due primarily to product inhibition. Unlike the more traditional exponential models, the distribution of individual frequencies in an evolving parabolic population is not described by the Maximum Entropy (MaxEnt) Principle in its traditional form, whereby the distribution with the maximum Shannon entropy is chosen among all the distributions that are possible under the given constraints. We sought to identify a more general form of the MaxEnt principle that would be applicable to parabolic growth.
www.biologydirect.com/content/8/1/19
Bayesian and Non-Bayesian Inference for Survival Data Using Generalised Exponential Distribution
Journal of Probability and Statistics is a peer-reviewed, open access journal that publishes original research articles as well as review articles in all areas of probability and statistics.
www.hindawi.com/journals/jps/2013/364705/
[1307.2169] Random Market Models with an H-Theorem
arxiv.org/abs/1307.2169
123