Results 41 to 50 of about 2,896,920 (185)

Distinguishability of Probability Measures

The Annals of Mathematical Statistics, 1969
Independent identically distributed observations, $X_1, X_2, \cdots$, are taken sequentially. All that is known a priori about their common probability measure, $P$, is that it is a member of a given (at most countable) family, $\pi = \{P_n\}^\infty_{n=1}$, of such measures.
Fisher, Lloyd, Ness, John W. Van
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On orthogonal probability measures [PDF]

Proceedings of the American Mathematical Society, 1953
Definitions. Let X be an arbitrary set, f( a Borel-field of some subsets B of X, and W(t) the family of all probability measures defined on C, i.e. the totality of all countably additive, non-negative set functions m(B), B Ez, for which m(X) = 1. Henceforth the word "measure" denotes an element of 2W(1) and the expression "set of measures" a subset of ...
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The Measure for the Multiverse and the Probability for Inflation

, 2007
We investigate the measure problem in the framework of inflationary cosmology. The measure of the history space is constructed and applied to inflation models.
Bousso R, Brandenberger R, Brandenberger R, Chen B Li M Wang T Wang Y, Chen B Li M Wang Y, Douglas M R, Easther R, Garriga J, Gibbons G W Turok N, Henneaux M, Huang Q-G, Huang Q-G, Huang Q-G, Huang Q-G, Huang Q-G, Huang Q-G, Huang Q-G Li M, Koh S Brandenberger R H, Li M, Miao Li, Starobinsky A, Steinhardt P J Gibbons G W Hawking S W Siklos S T C, Susskind L, Tsujikawa S Maartens R Brandenberger R, Yi Wang, Zhang X, Zhang X Wu F-Q   +26 more
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Two questions on quantum statistics

, 2004
The determination of a quantum observable from the first and second moments of its measurement outcome statistics is investigated. Operational conditions for the moments of a probability measure are given which suffice to determine the probability ...
Ballentine, Dubin, Dvurečenskij, Folland, Freud, Juha-Pekka Pellonpää, Kari Ylinen, Lahti, Pekka Lahti, Riesz, Rudin, Simon, Varadarajan   +12 more
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Nonsignaling as the consistency condition for local quasi classical probability modelling of a general multipartite correlation scenario

, 2012
We specify for a general correlation scenario a particular type of a local quasi hidden variable (LqHV) model [J. Math. Phys. 53 (2012), 022201] -- a deterministic LqHV model, where all joint probability distributions of a correlation scenario are ...
Loubenets, Elena R.
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Probability-Based Wildfire Risk Measure for Decision-Making

Mathematics, 2020
Wildfire is a natural element of many ecosystems as well as a natural disaster to be prevented. Climate and land usage changes have increased the number and size of wildfires in the last few decades.
Adán Rodríguez-Martínez, Begoña Vitoriano   +1 more
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Optimal Information Transfer and the Uniform Measure over Probability Space

Entropy, 2023
For a quantum system with a d-dimensional Hilbert space, suppose a pure state |ψ⟩ is subjected to a complete orthogonal measurement. The measurement effectively maps |ψ⟩ to a point (p1,…,pd) in the appropriate probability simplex.
William K. Wootters
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Thermodynamic interpretation of the uniformity of the phase space probability measure

, 2001
Uniformity of the probability measure of phase space is considered in the framework of classical equilibrium thermodynamics. For the canonical and the grand canonical ensembles, relations are given between the phase space uniformities and thermodynamic ...
Mandelbrot B B, Renyi A, Toda M, Tél T
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A joint limit theorem for periodic Hurwitz zeta-functions with algebraic irrational parameters

Mathematical Modelling and Analysis, 2013
In the paper, a joint limit theorem for weakly convergent probability measures in ℂ r for periodic Hurwitz zeta-functions with algebraic irrational parameters satisfying certain independence conditions is obtained.
Danutė Genienė, Audronė Rimkevičienė   +1 more
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Value Distribution of General Dirichlet series. VI

Nonlinear Analysis, 2005
In the paper a limit theorem in the sense of weak convergence of probability measures on the complex plane for a new class of general Dirichlet series is obtained.
A. Laurinčikas
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