CONFERENCE PROCEEDINGS
Advanced Search
Home > Proceedings > Volume 10988 > Article
Presentation + Paper
14 May 2019 Manifestly positive series approximation to probability densities
L. Cohen
Author Affiliations +
Proceedings Volume 10988, Automatic Target Recognition XXIX; 109880Q (2019) https://doi.org/10.1117/12.2520153
Event: SPIE Defense + Commercial Sensing, 2019, Baltimore, MD, United States
Abstract
When one expands a probability density in a series and truncates the series, the result is generally not a manifestly positive density. Such is the case, for example, in the classical Edgeworth and Gram-Charlier series. In contrast, in quantum mechanics, approximation methods always retain the manifestly positive aspect of a probability density. We explore this fundamental difference and attempt to modify standard probability theory using the methods of quantum mechanics so that expansions result in a manifestly positive probability density.
Conference Presentation
© (2019) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Citation Download Citation
L. Cohen "Manifestly positive series approximation to probability densities", Proc. SPIE 10988, Automatic Target Recognition XXIX, 109880Q (14 May 2019); https://doi.org/10.1117/12.2520153
ACCESS THE FULL ARTICLE
ORGANIZATIONAL
Sign in with credentials provided by your organization.
INSTITUTIONAL
Select your institution to access the SPIE Digital Library.
SELECT YOUR INSTITUTION
PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.
PERSONAL SIGN IN
No SPIE Account? Create one
PURCHASE THIS CONTENT
SUBSCRIBE TO DIGITAL LIBRARY
50 downloads per 1-year subscription
Members: $195
Non-members: $335 ADD TO CART
25 downloads per 1 - year subscription
Members: $145
Non-members: $250 ADD TO CART
PURCHASE SINGLE ARTICLE
Includes PDF, HTML & Video, when available
Members: $17.00
Non-members: $21.00 ADD TO CART
PROCEEDINGS
 13 PAGES + PRESENTATION
DOWNLOAD PAPER SAVE TO MY LIBRARY
WATCH
PRESENTATION
GET CITATION
Advertisement
Advertisement
RIGHTS & PERMISSIONS
Get copyright permission  Get copyright permission on Copyright Marketplace
KEYWORDS
Probability theory
Quantum mechanics
RELATED CONTENT
A significant loophole free test of Bell's theorem with entangled...
Proceedings of SPIE (October 05 2017)
The singlet state and Bell-inequality tests
Proceedings of SPIE (September 28 2011)
Construction and correction of probability densities
Proceedings of SPIE (May 07 2007)
Epistemology of quantum mechanics: the Växjö viewpoint
Proceedings of SPIE (September 28 2011)
Can the mathematical formalism of quantum mechanics be applied to...
Proceedings of SPIE (April 29 2008)
Interference of probabilities in purely corpuscular model
Proceedings of SPIE (August 04 2005)
Matrix optimizations for quantum communications
Proceedings of SPIE (May 12 2006)
Subscribe to Digital Library
Receive Erratum Email Alert
Back to Top