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Mathematical theory of Bayesian statistics for unknown information source
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2023 In statistical inference, uncertainty is unknown and all models are wrong. That is to say, a person who makes a statistical model and a prior distribution is simultaneously aware that both are fictional candidates. To study such cases, statistical measures have been constructed, such as cross validation, information criteria and marginal likelihood ...
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Mathematical theory of Bayesian statistics
Mathematical theory of Bayesian statisticsidentifier:oai:t2r2.star.titech.ac.jp ...
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Probability theory and mathematical statistics
2021The tutorial is an introductory course in probability theory and mathematical statistics. Elements of combinatorics, basic concepts and theorems of probability theory, discrete random variables, continuous random variables, some limit theorems, one-dimensional and two-dimensional samples, point and interval estimation of parameters of the general ...
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Probability theory and mathematical statistics
2023The textbook is an introductory course in probability theory and mathematical statistics. Elements of combinatorics, basic concepts and theorems of probability theory, discrete random variables, continuous random variables, some limit theorems, one-dimensional and two-dimensional samples, point and interval estimation of the parameters of the general ...
Irina Paliy +2 more
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Probability theory and mathematical statistics
2019The textbook is written in accordance with the standard program of the course "Probability theory and mathematical statistics". A systematic presentation of the main sections of the elementary course of probability theory and mathematical statistics on random events, one-dimensional and two-dimensional random variables and the laws of their ...
Alevtina Yurchenko, Efim Kogan
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Probability theory and mathematical statistics
1979Many processes in nature, in engineering, in economy, and in other domains are subject to chance, that is, the outcome of the process cannot be predicted. However, it turns out that even for such processes quantitative statements can be made when sufficiently many of them have been observed under equal conditions.
I. N. Bronshtein, K. A. Semendyayev
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Strings: mathematical theory and statistical examples
Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences, 1987Strings , in the sense of the present paper, are sequences of multiarrays with two types of indices; tensorial and structural, and they are characterized by a transformation law that generalizes those for tensors, affine connections and derivatives of scalars. The original definition Barndorff-Nielsen ( Proc. R. Soc.
Barndorff-Nielsen, O. E., Blæsild, P.
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Probability Theory and Mathematical Statistics
Journal of the American Statistical Association, 1999Andrew Rosalsky +2 more
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