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Showing 1 to 20 of 146 for “"Probability Theory"”.
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Fiducial probability theory
… Necessary conditions for application of fiducial theory are considered. Examples are given to illustrate the methods used. Particular attention is given to the meaning which should be associated with a fiducial probability statement. It is shown that, in many cases, fiducial probability has a …
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Infinitesimal Probability Theory with Amalgamation
We introduce the notion of operator-valued infinitesimal independence for the free, Boolean, and monotone cases. We show that operator-valued infinitesimal free (respectively Boolean, monotone) independence is equivalent to the operator-valued free (respectively Boolean, monotone) independence over …
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Probability theory on Galton-Watson trees
By a Galton-Watson tree T we mean an infinite rooted tree that starts with one node and where each node has a random number of children independently of the rest of the tree. In the first chapter of this thesis, we prove a conjecture made in [7] for Galton-Watson trees where vertices have bounded …
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Gaussian processes in non-commutative probability theory
Contains fulltext : 19119.pdf (Publisher’s version ) (Open Access)
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Density in the Light of Probability Theory
Made available in DSpace on 2014-12-05T21:50:18Z (GMT). No. of bitstreams: 1 6100184.pdf: 795081 bytes, checksum: e289d39759778c242a7aff2d7c813926 (MD5) Previous issue date: 1960
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Weighted and Self-normalized Sums in Free Probability Theory
… of weighted and self-normalized sums in free probability theory and determine the corresponding rates of convergence to their limit distribution.
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Polynomial maps with applications to combinatorics and probability theory
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1994.
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“Reckoning the nation: 19th century statistics, probability theory and nation-building.”
… and external histories of statistics and probability shows that techniques like averages and correlations are historically contingent concepts that were developed not at the abstract level but rather through considerable discussion about specific natural and social problems. Statistical …
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Probability theory on time scales and applications to finance and inequalities
… discovered concept of time scales is applied to probability theory, thus unifying discrete, continuous and many other cases. A short introduction to the theory of time scales is provided. Following this preliminary overview, the moment generating function is derived using a Laplace transformation …
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Tractable stochastic analysis in high dimensions via robust optimization
Modern probability theory, whose foundation is based on the axioms set forth by Kolmogorov, is currently the major tool for performance analysis in stochastic systems. While it offers insights in understanding such systems, probability theory, in contrast to optimization, has not been developed …
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'Powellsnakes', a fast Bayesian approach to discrete object detection in multi-frequency astronomical data sets
… We have chosen to use the Bayes/Laplace probability theory as it grants a fully consistent extension of formal deductive logic to a more general inferential system with optimal inclusion of all ancillary information [Jaynes, 2004]. Nonetheless, probability theory only informs us about the …
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An Application of Combinatorial Methods
Probability theory is a branch of mathematics concerned with determining the long run frequency or chance that a given event will occur. This chance is determined by dividing the number of selected events by the number of total events possible, assuming these events are equally likely. Probability …
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The Effects of Organization of Mathematics Text on Processing and Learning Outcomes
… of thirteen units on concepts related to the probability theory. Each unit explained a single concept through definitions, n
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Uncertainty Assessment in High-Risk Environments Using Probability, Evidence Theory and Expert Judgment Elicitation
… the results of expert judgment elicitation to probability and evidence theory. This research shows how one type of monotone measure, namely Dempster-Shafer Theory of Evidence can expand the framework of uncertainty to provide decision makers a more robust solution space. The issues imbedded in …
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Revision of Subjective Probabilities Under a Bayesian Model
… was to examine the degree to which subjective probability judgments conform to the Bayesian model of mathematical probability theory; more specifically, the degree to which subjective probability estimates for intersections of events approximate the product of the subjective judgments for …
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‘Powellsnakes’, a fast Bayesian approach to discrete object detection in multi-frequency astronomical data sets
… We have chosen to use the Bayes/Laplace probability theory as it grants a fully consistent extension of formal deductive logic to a more general inferential system with optimal inclusion of all ancillary information [Jaynes, 2004]. Nonetheless, probability theory only informs us about the …
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Decision framework for selecting structural strength of new facility on the airbase
… through risk assessments based on traditional probability theory. The decision prediction model based on the traditional probability theory assumes that the decision-makers have risk-neutral attitude. However, various studies have found that decision-makers are not always risk-neutral, and it …
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Mažųjų skaičių dėsnis: L. Bortkievičiaus duomenų analizė /
Although probability theory and statistics are some of the most challenging areas of mathematical science, their methods make it possible to work as efficiently as possible with all kinds of data, which are abundant, starting from their processing to their presentation. Different laws and …
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Attributions of inferential error, epistemic virtues, and models of minimal rationality
… use desire fulfillment, and not just logic or probability theory as the ultimate normative standard of rational choice . Cherniak's theory is expanded upon, defended from both real and imagined critics , and distinguished from the positions of Stich, the Positivists and Relativists.
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Weighted Universality Theorems for the Riemann and Hurwitz Zeta-Functions /
In some fields of mathematics (number theory, probability theory, mathematical statistics) weighted theorems and their applications are often investigated. Weighted universality of zeta-functions is comparatively a new branch of universality, there exist only few papers in that direction. …
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