A new continuous distribution and two new families of distributions based on the exponential

Guillermina Jasso, Samuel Kotz

    Research output: Contribution to journalArticle

    Abstract

    Recent work on social status led to derivation of a new continuous distribution based on the exponential. The new variate, termed the ring(2)-exponential, in turn leads to derivation of two closely related new families of continuous distributions, the mirror-exponential and the ring-exponential. Both the standard exponential and the ring(2)-exponential are special cases of both the new families. In this paper, we first focus on the ring(2)-exponential, describing its derivation and examining its properties, and next introduce the two new families, describing their derivation and initiating exploration of their properties. The mirror-exponential arises naturally in the study of status; the ring-exponential arises from the mathematical structure of the ring(2)-exponential. Both have the potential for broad application in diverse contexts across science and engineering. Within sociobehavioral contexts, the new mirror-exponential may have application to the problem of approximating the form and inequality of the wage distribution.

    Original languageEnglish (US)
    Pages (from-to)305-328
    Number of pages24
    JournalStatistica Neerlandica
    Volume61
    Issue number3
    DOIs
    StatePublished - Aug 2007

    Keywords

    • Continuous univariate distributions
    • Erlang distribution
    • Folded distributions
    • Gamma distribution
    • General Erlang distribution
    • General gamma distribution
    • Gini coefficient
    • Social inequality
    • Social status
    • Wage distribution
    • Wage function
    • Wage inequality

    ASJC Scopus subject areas

    • Statistics and Probability
    • Statistics, Probability and Uncertainty

    Fingerprint Dive into the research topics of 'A new continuous distribution and two new families of distributions based on the exponential'. Together they form a unique fingerprint.

  • Cite this