Quasinormal distributions and expansion at the mode. [Application to multiplicity distributions in high-energy collisions]

Tomozawa, Y

doi:10.1007/BF01010217

Title: Quasinormal distributions and expansion at the mode. [Application to multiplicity distributions in high-energy collisions]

Journal Article · Tue Jan 01 00:00:00 EST 1974 · J. Stat. Phys.; (United States)

DOI:https://doi.org/10.1007/BF01010217· OSTI ID:7320740

Tomozawa, Y

The Gram-Charlier series of type A is discussed in terms of deviants, 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 semi-infinite interval (0, infinity).

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Research Organization:: Univ. of Michigan, Ann Arbor, MI (United States)

OSTI ID:: 7320740

Journal Information:: J. Stat. Phys.; (United States), Vol. 11:3

Country of Publication:: United States

Language:: English

References (7)

The mode and Median of a Nearly Normal Distribution with Given Cumulants Haldane, J. B. S. Biometrika, Vol. 32, Issue 3-4 https://doi.org/10.1093/biomet/32.3-4.294	journal	January 1942
Asymptotic Multiplicity Distributions and Analog of the Central-Limit Theorem Tomozawa, Yukio Physical Review D, Vol. 8, Issue 7 https://doi.org/10.1103/PhysRevD.8.2138	journal	October 1973
A new model for particle multiplicities in strong interaction production processes Kaiser, G. D. Nuclear Physics B, Vol. 44, Issue 1 https://doi.org/10.1016/0550-3213(72)90278-7	journal	July 1972
The 200 GeV multiplicity distribution and scaling Olesen, P. Physics Letters B, Vol. 41, Issue 5 https://doi.org/10.1016/0370-2693(72)90644-2	journal	October 1972
Evidence for the Systematic Behavior of Charged-Prong Multiplicity Distributions in High-Energy Proton-Proton Collisions Slattery, P. Physical Review D, Vol. 7, Issue 7 https://doi.org/10.1103/PhysRevD.7.2073	journal	April 1973
Multiplicity distribution in high energy collisions Tomozawa, Yukio Nuclear Physics B, Vol. 62 https://doi.org/10.1016/0550-3213(73)90269-1	journal	October 1973
Moments and Cumulants in the Specification of Distributions Cornish, E. A.; Fisher, R. A. Revue de l'Institut International de Statistique / Review of the International Statistical Institute, Vol. 5, Issue 4 https://doi.org/10.2307/1400905	journal	January 1938

Cited By (1)

M-estimation with probabilistic models of geodetic observations Wiśniewski, Z. Journal of Geodesy, Vol. 88, Issue 10 https://doi.org/10.1007/s00190-014-0735-7	journal	June 2014

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