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Title: Quasinormal distributions and expansion at the mode

Abstract

The Gram-Charlier series of type A is discussed here in terms ofdeviants which are related to moments in a way similar to the way Hermite polynomials are related to the powers. Distribution functions are also expressed in terms of the mode and moments (cumulants or deviants), which are useful expansions when the distributions are approximately normal. It is shown that such expansions as well as the Gram-Charlier series are valid asymptotically for discrete distributions defined on the semiinfinite interval [0, ∞].

Authors:
 [1]
  1. Univ. of Michigan, Ann Arbor, MI (United States). Randall Lab. of Physics; SLAC National Accelerator Lab., Menlo Park, CA (United States)
Publication Date:
Research Org.:
SLAC National Accelerator Lab., Menlo Park, CA (United States); Univ. of Michigan, Ann Arbor, MI (United States)
Sponsoring Org.:
US Atomic Energy Commission (AEC)
OSTI Identifier:
1442839
Report Number(s):
SLAC-PUB-1233
Journal ID: ISSN 0022-4715; TRN: US1900931
Grant/Contract Number:  
AC02-76SF00515
Resource Type:
Accepted Manuscript
Journal Name:
Journal of Statistical Physics
Additional Journal Information:
Journal Volume: 11; Journal Issue: 3; Journal ID: ISSN 0022-4715
Publisher:
Springer
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Gram-Charlier series of type A; mode; moments; cumulants; deviants; quasinormal expansion

Citation Formats

Tomozawa, Yukio. Quasinormal distributions and expansion at the mode. United States: N. p., 1974. Web. doi:10.1007/BF01010217.
Tomozawa, Yukio. Quasinormal distributions and expansion at the mode. United States. doi:10.1007/BF01010217.
Tomozawa, Yukio. Sun . "Quasinormal distributions and expansion at the mode". United States. doi:10.1007/BF01010217. https://www.osti.gov/servlets/purl/1442839.
@article{osti_1442839,
title = {Quasinormal distributions and expansion at the mode},
author = {Tomozawa, Yukio},
abstractNote = {The Gram-Charlier series of type A is discussed here in terms ofdeviants which are related to moments in a way similar to the way Hermite polynomials are related to the powers. Distribution functions are also expressed in terms of the mode and moments (cumulants or deviants), which are useful expansions when the distributions are approximately normal. It is shown that such expansions as well as the Gram-Charlier series are valid asymptotically for discrete distributions defined on the semiinfinite interval [0, ∞].},
doi = {10.1007/BF01010217},
journal = {Journal of Statistical Physics},
number = 3,
volume = 11,
place = {United States},
year = {1974},
month = {9}
}

Journal Article:
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