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About 10,000 papers for “probability”
2012
• Subjective assessment of probabilities is akin to assessment of size and distance • Perception versus expectation • Heuristics are useful but can be misleadingThe Ames Room
Cited by 0
2014
Familiar, but I don't know about preference: Acquisition and generalization of modal pitch distributions.
Cited by 0
M. Venkataswamy Reddy · Apple Academic Press eBooks · 2019
Cited by 0
Peter A.Rogerson · 2001
Cited by 0
Harvey-Tremblay, Alexandre · Figshare · 2021
I derive the 'general linear probability amplitude' and its associated probability rule. Said probability amplitude, of which the familiar complex probability amplitude is a special case, constitutes the largest possible group of LINEAR probability amplitudes, and as such admits remarkable applications --- including that of retaining its linearity in the general relativity (GR) scenario. To properly motivate, I investigate a two-state (thought) experiment that produces a 'general linear interference pattern' exceeding what is possible with mere complex interference, thus suggesting, via a simple system, that geometric probabilities (GP) are realized/realizable in nature. The derivation begins with the wave-function of GP, bluntly obtained as the probability measure that maximizes the entropy constrained by an ensemble of linear transformations, thereby superseding the Gibbs ensemble, and inheriting from statistical physics the statistical ensemble interpretation as its only tenable (quantum mechanical) interpretation. Properly parametrized, the wave-function of GP in GL(4,ℝ) is interpreted as the probability density of measuring an event (in space-time). As a geometric sampling space, GP provides a simple origin for the notoriously elusive 'wave-function collapse' as an automatic consequence of performing any measurement on the statistical system --- something that quantum probabilities (QP), a subset of GP that excludes the relevant general linear amplitudes, cannot provide. Taking the gauge covariant derivative of the GP space-time wave-function, as it transforms with respect to the GL(4,ℝ) group, is able to support in the general case a gauge theory of GR on the T(4) x GL(4,ℝ) affine group (or its structure reduction to the T(4) x O(4) Poincaré group), where the Christoffel symbols Γ^μ are viewed as a GL(4,ℝ)-valued gauge field, and where the quantum behaviour is provided in the form of an affine probability amplitude. Finally, we extend the last result by adding the gauge group of the Standard model U(1) x SU(2) x SU(3) to T(4) x GL(4,ℝ) deriving a geometric probability amplitude that transforms linearly as vector states of a (multi-geometric) Hilbert space in the whole of the standard model ⊕ general relativity.
Cited by 0Open access
Muhammad Aslam, Muhammad Imdad Ullah · 2023
Cited by 1
Nino A. Mushkudiani, J.H.J. Einmahl · SSRN Electronic Journal · 2004
Cited by 1Open access
Harvey-Tremblay, Alexandre · Figshare · 2021
I derive the 'general linear probability amplitude' and its associated probability rule. Said probability amplitude, of which the familiar complex probability amplitude is a special case, constitutes the largest possible group of LINEAR probability amplitudes, and as such admits remarkable applications --- including that of retaining its linearity in the general relativity (GR) scenario. To properly motivate, I investigate a two-state (thought) experiment that produces a 'general linear interference pattern' exceeding what is possible with mere complex interference, thus suggesting, via a simple system, that geometric probabilities (GP) are realized/realizable in nature. The derivation begins with the wave-function of GP, bluntly obtained as the probability measure that maximizes the entropy constrained by an ensemble of linear transformations, thereby superseding the Gibbs ensemble, and inheriting from statistical physics the statistical ensemble interpretation as its only tenable (quantum mechanical) interpretation. Properly parametrized, the wave-function of GP in GL(4,ℝ) is interpreted as the probability density of measuring an event (in space-time). As a geometric sampling space, GP provides a simple origin for the notoriously elusive 'wave-function collapse' as an automatic consequence of performing any measurement on the statistical system --- something that quantum probabilities (QP), a subset of GP that excludes the relevant general linear amplitudes, cannot provide. Taking the gauge covariant derivative of the GP space-time wave-function, as it transforms with respect to the GL(4,ℝ) group, is able to support in the general case a gauge theory of GR on the T(4) x GL(4,ℝ) affine group (or its structure reduction to the T(4) x O(4) Poincaré group), where the Christoffel symbols Γ^μ are viewed as a GL(4,ℝ)-valued gauge field, and where the quantum behaviour is provided in the form of an affine probability amplitude. Finally, we extend the last result by adding the gauge group of the Standard model U(1) x SU(2) x SU(3) to T(4) x GL(4,ℝ) deriving a geometric probability amplitude that transforms linearly as vector states of a (multi-geometric) Hilbert space in the whole of the standard model ⊕ general relativity.
Cited by 0Open access
Jian Shi · WORLD SCIENTIFIC eBooks · 2017
Cited by 0
José Reinaldo Da Silva Cabral De [UNESP] Moraes · LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Científicas) · 2014
Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPES
Cited by 0
G. Barrie Wetherill · 1972
Cited by 0
Harvey-Tremblay, Alexandre · Figshare · 2021
I derive the 'general linear probability amplitude' and its associated probability rule. Said probability amplitude, of which the familiar complex probability amplitude is a special case, constitutes the largest possible group of LINEAR probability amplitudes, and as such admits remarkable applications --- including that of retaining its linearity in the general relativity (GR) scenario. To properly motivate, I investigate a two-state (thought) experiment that produces a 'general linear interference pattern' exceeding what is possible with mere complex interference, thus suggesting, via a simple system, that geometric probabilities (GP) are realized/realizable in nature. The derivation begins with the wave-function of GP, bluntly obtained as the probability measure that maximizes the entropy constrained by an ensemble of linear transformations, thereby superseding the Gibbs ensemble, and inheriting from statistical physics the statistical ensemble interpretation as its only tenable (quantum mechanical) interpretation. Properly parametrized, the wave-function of GP in GL(4,ℝ) is interpreted as the probability density of measuring an event (in space-time). As a geometric sampling space, GP provides a simple origin for the notoriously elusive 'wave-function collapse' as an automatic consequence of performing any measurement on the statistical system --- something that quantum probabilities (QP), a subset of GP that excludes the relevant general linear amplitudes, cannot provide. Taking the gauge covariant derivative of the GP space-time wave-function, as it transforms with respect to the GL(4,ℝ) group, is able to support in the general case a gauge theory of GR on the T(4) x GL(4,ℝ) affine group (or its structure reduction to the T(4) x O(4) Poincaré group), where the Christoffel symbols Γ^μ are viewed as a GL(4,ℝ)-valued gauge field, and where the quantum behaviour is provided in the form of an affine probability amplitude. Finally, we extend the last result by adding the gauge group of the Standard model U(1) x SU(2) x SU(3) to T(4) x GL(4,ℝ) deriving a geometric probability amplitude that transforms linearly as vector states of a (multi-geometric) Hilbert space in the whole of the standard model ⊕ general relativity.
Cited by 0Open access
Nino A. Mushkudiani, J.H.J. Einmahl · Journal of Statistical Planning and Inference · 2006
Cited by 0
Harvey-Tremblay, Alexandre · Figshare · 2021
I derive the 'general linear probability amplitude' and its associated probability rule. Said probability amplitude, of which the familiar complex probability amplitude is a special case, constitutes the largest possible group of LINEAR probability amplitudes, and as such admits remarkable applications --- including that of retaining its linearity in the general relativity (GR) scenario. To properly motivate, I investigate a two-state (thought) experiment that produces a 'general linear interference pattern' exceeding what is possible with mere complex interference, thus suggesting, via a simple system, that geometric probabilities (GP) are realized/realizable in nature. The derivation begins with the wave-function of GP, bluntly obtained as the probability measure that maximizes the entropy constrained by an ensemble of linear transformations, thereby superseding the Gibbs ensemble, and inheriting from statistical physics the statistical ensemble interpretation as its only tenable (quantum mechanical) interpretation. Properly parametrized, the wave-function of GP in GL(4,ℝ) is interpreted as the probability density of measuring an event (in space-time). As a geometric sampling space, GP provides a simple origin for the notoriously elusive 'wave-function collapse' as an automatic consequence of performing any measurement on the statistical system --- something that quantum probabilities (QP), a subset of GP that excludes the relevant general linear amplitudes, cannot provide. Taking the gauge covariant derivative of the GP space-time wave-function, as it transforms with respect to the GL(4,ℝ) group, is able to support in the general case a gauge theory of GR on the T(4) x GL(4,ℝ) affine group (or its structure reduction to the T(4) x O(4) Poincaré group), where the Christoffel symbols Γ^μ are viewed as a GL(4,ℝ)-valued gauge field, and where the quantum behaviour is provided in the form of an affine probability amplitude. Finally, we extend the last result by adding the gauge group of the Standard model U(1) x SU(2) x SU(3) to T(4) x GL(4,ℝ) deriving a geometric probability amplitude that transforms linearly as vector states of a (multi-geometric) Hilbert space in the whole of the standard model ⊕ general relativity.
Cited by 0Open access
D. Chiffi, R. Ciuni, A. Frigerio · Virtual Community of Pathological Anatomy (University of Castilla La Mancha) · 2021
Cited by 0
Joseph Y. Halpern · arXiv (Cornell University) · 2003
The relationship between Popper spaces (conditional probability spaces that\nsatisfy some regularity conditions), lexicographic probability systems (LPS's),\nand nonstandard probability spaces (NPS's) is considered. If countable\nadditivity is assumed, Popper spaces and a subclass of LPS's are equivalent;\nwithout the assumption of countable additivity, the equivalence no longer\nholds. If the state space is finite, LPS's are equivalent to NPS's. However, if\nthe state space is infinite, NPS's are shown to be more general than LPS's.\n
Cited by 2Open access
Bamba Dione, Johansson, Christer · 2018
Cited by 0Open access
В. М. Максимов · Russian Mathematical Surveys · 2007
Cited by 2
T. Agami Reddy, Gregor P. Henze · 2023
Cited by 1
Jerome P. Kassirer, Richard I. Kopelman · Hospital Practice · 1990
Cited by 4