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Probability Models in Statistical Data Analysis: Uses, Interpretations, Frequentism-as-Model
The application of mathematical probability theory in statistics is quite controversial. Controversies regard both the interpretation of probability...
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Probability Models in Statistical Data Analysis: Uses, Interpretations, Frequentism-as-Model
The application of mathematical probability theory in statistics is quite controversial. Controversies regard both the interpretation of probability...
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Probability
The discussion of open problems begins with probability, a field which owed much of its development to a few simple problems that required wholly new...
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Singular integrals and Feller semigroups with jump phenomena
This paper is devoted to the real analysis methods for the problem of construction of Markov processes with boundary conditions in probability....
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Algorithmic Probability
P. S. Laplace (1749–1827) pointed out the following reason why intuitively, a regular outcome of a random event is unlikely: “We arrange in our...
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Polarization and Coherence in Mean Field Games Driven by Private and Social Utility
We study a mean field game in continuous time over a finite horizon, T, where the state of each agent is binary and where players base their...
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Oblique derivative problems and Feller semigroups with discontinuous coefficients
This paper is devoted to the functional analytic approach to the problem of existence of Markov processes with an oblique derivative boundary...
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Multi-scale PDE Inverse Problem in Bacterial Movement
By their nature, biological systems evolve to complex structures, posing challenges for mathematical modelling that involve partial differential...
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Definitions that Sizzle
How many times have you, with great anticipation, flipped opened the latest math book, started panning down the page, and suddenly come face to face...
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Introduction and Summary
In this introductory chapter, ten elementary (but important) examples of diffusion processes are included. Furthermore, our problems and results are...
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RecSOI: recommending research directions using statements of ignorance
The more science advances, the more questions are asked. This compounding growth can make it difficult to keep up with current research directions....
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Design Framework and Tools for Solid Drug Product Manufacturing Processes
This chapter presents a design framework and associated new assessment tools for solid drug product manufacturing processes. The framework describes...
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Markov Processes and Feller Semigroups
This chapter is devoted to a functional analytic approach to Markov processes in probability which forms a functional analytic background for the...
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A Credibility Framework for Extreme Value-at-Risk
Value-at-risk estimates derived from extreme value data by fitting fat-tailed distributions can be so large that their validity is open to question....
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Markov Processes, Transition Functions and Feller Semigroups
In this chapterMarkov process Transition function Feller semigroup we introduce a class of (temporally homogeneous) Markov processes which we will...
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Random Surfaces with Boundary
A surface with boundary is randomly generated by gluing polygons along some of their sides. We show that its genus and number of boundary components...
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Voting On or About God
This study surveys a range of historical instances of collective decision-making about the choice of god(s) or the theological attributes of...
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A Qualitative Counterpart of Belief Functions with Application to Uncertainty Propagation in Safety Cases
Critical systems such as those developed in the aerospace, railway or automotive industries need official documents to certify their safety via...
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Delays, Masks, the Elderly, and Schools: First Covid-19 Wave in the Czech Republic
Running across the globe for nearly 2 years, the Covid-19 pandemic keeps demonstrating its strength. Despite a lot of understanding, uncertainty...
