• DocumentCode
    1503049
  • Title

    Eighty Univariate Distributions and Their Relationships Displayed in a Matrix Format

  • Author

    Song, Wheyming Tina ; Chen, Yi-Chun

  • Author_Institution
    Dept. of Ind. Eng. & Eng. Manage., Nat. Tsing Hua Univ., Hsinchu, Taiwan
  • Volume
    56
  • Issue
    8
  • fYear
    2011
  • Firstpage
    1979
  • Lastpage
    1984
  • Abstract
    This work improves upon previously published results by depicting 80 probability distributions in one user-friendly ten-by-eight matrix format. The figure is logically organized and thereby allows users to easily locate a particular distribution. A simplified five-by-five matrix, showing only 25 families, is designed for more elementary needs. These distributions and associated relationships provide rapid access to information that must otherwise be found through a time-consuming search of numerous sources.
  • Keywords
    matrix algebra; statistical distributions; five-by-five matrix; probability distribution; univariate distribution; user friendly ten-by-eight matrix format; Convolution; Logistics; Manganese; Organizing; Random variables; Shape; Random processes; transformations of random variables; univariate distributions;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.2011.2146870
  • Filename
    5755180