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Generalization of Binomial Coefficients to Numbers on the Nodes of Graphs
Khmelnitskaya, Anna; van der Laan, Gerard; Talman, Dolf - 2016
of Pascal's triangle can be seen as a line-graph, to each node of which the corresponding binomial coefficient is … assigned. We show that the binomial coefficient of a node is equal to the number of ways the line-graph can be constructed when … sequences of binomial coefficients on each row of Pascal's triangle to so-called Pascal graph numbers assigned to the nodes of …
Persistent link: https://www.econbiz.de/10011451527
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A True Extension of the Markov Inequality to Negative Random Variables
de Mesnard, Louis - 2020
The Markov inequality is a classical nice result in statistics that serves to demonstrate other important results as the Chebyshev inequality and the weak law of large numbers, and that has useful applications in the real world, when the random variable is unspecified, to know an upper bound for...
Persistent link: https://www.econbiz.de/10012843378
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Equation Transformations and Graph Changes
Challoumis, Constantinos - 2018
This paper is about the way to transform any equation into other equations. Moreover, except from that this method allows the transformation of any equation into any other form, there is and the transformation of Cartesian axes into transformed axes. Then, it is plausible with the transformed...
Persistent link: https://www.econbiz.de/10012924806
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Generalization of Binomial Coeffi cients to Numbers on the Nodes of Graphs
Khmelnitskaya, Anna - 2016
of Pascal's triangle can be seen as a line-graph, to each node of which the corresponding binomial coefficient is … assigned. We show that the binomial coefficient of a node is equal to the number of ways the line-graph can be constructed when … sequences of binomial coefficients on each row of Pascal's triangle to so-called Pascal graph numbers assigned to the nodes of …
Persistent link: https://www.econbiz.de/10012998942
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The Analysis of Split Graphs in Social Networks Based on the K-Cardinality Assignment Problem
Belik, Ivan - 2014
(fragmented and non-connected groups of people) as the basic components of any split graph. Based on the Semi …
Persistent link: https://www.econbiz.de/10014037526
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Psychophysics of the Probability Weighting Function
Takahashi, Taiki - 2011
A probability weighting function w(p) for an objective probability p in decision under risk plays a pivotal role in Kahneman-Tversky's prospect theory. Although recent studies in econophysics and neuroeconomics widely utilized probability weighting functions, psychophysical foundations of the...
Persistent link: https://www.econbiz.de/10013122889
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Moment Conditions for Almost Stochastic Dominance
Guo, Xu - 2013
This study establishes necessary conditions for Almost Stochastic Dominance criteria of various orders. These conditions take the form of restrictions on algebraic combinations of moments of the probability distributions in question. The relevant set of conditions depends on the relevant order...
Persistent link: https://www.econbiz.de/10013072485
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Insights to Systematic Risk and Diversification Across a Joint Probability Distribution
Choo, Weihao - 2015
This paper analyses and develops insights to systematic risk and diversification when random, imperfectly dependent, losses are aggregated. Systematic risk and diversification are shown to vary across layers of component losses according to local dependence and volatility structures. Systematic...
Persistent link: https://www.econbiz.de/10013014384
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Probabilistic Economic Theory
Kondratenko, Anatoly V. - 2019
This book presents principles of physical economics, new economic discipline primarily concerned in the book with the agent-based physical modeling of the market economic systems and eventually with the elaborating of probabilistic economic theory. At the heart of physical economics and...
Persistent link: https://www.econbiz.de/10012901564
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A Statistical Risk Assessment of Bitcoin and Its Extreme Tail Behaviour
Osterrieder, Joerg - 2018
We provide an extreme value analysis of the returns of Bitcoin. A particular focus is on the tail risk characteristics and we will provide an in-depth univariate extreme value analysis. Those properties will be compared to the traditional exchange rates of the G10 currencies versus the US...
Persistent link: https://www.econbiz.de/10012935265