P-order normal cloud model: Walking on the way between Gaussian and power law distributions

  • Yu Liu*
  • , Tianwei Zhang
  • *Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

Gaussian and power law distribution are two important distribution types. Gaussian distribution is widely spread in nature phenomenon. Most things which obey power law distribution are man-made. We studied the relationship between Gaussian and power law distribution, and gave a new distribution model, is called P-order normal cloud model, of which we proved the basic statistic characteristic. We count distribution law of P-order normal cloud model by experimentation. Then we found a)when P=1, the model obeys Gaussian distribution; 2)with P increased, the characteristics of Gaussian distribution will gradually disappeared, then samples are sharply closed to mean value, but few samples which are distant from mean value are evenly distributed. 3) The samples distribution pattern of high-order normal cloud model(when P>5) reflects power law characteristics.

Original languageEnglish
Title of host publicationNeural Information Processing - 19th International Conference, ICONIP 2012, Proceedings
Pages467-474
Number of pages8
EditionPART 2
DOIs
StatePublished - 2012
Event19th International Conference on Neural Information Processing, ICONIP 2012 - Doha, Qatar
Duration: 12 Nov 201215 Nov 2012

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
NumberPART 2
Volume7664 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference19th International Conference on Neural Information Processing, ICONIP 2012
Country/TerritoryQatar
CityDoha
Period12/11/1215/11/12

Keywords

  • Gaussian distribution
  • KS statistic
  • P-order normal cloud model
  • cloud model
  • power law

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