TY  - RPRT
        AU  - Jasso, Guillermina
AU  - Kotz, Samuel
        TI  - A New Continuous Distribution and Two New Families of Distributions Based on the Exponential
        PY  - 2007/Feb/
        PB  - Institute of Labor Economics (IZA)
        CY  - Bonn
        T2  - IZA Discussion Paper
        IS  - 2598
        UR  - https://www.iza.org/publications/dp2598
        AB  - 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, which we call 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 potential for broad application in diverse contexts across science and engineering, including the physical and social sciences as well as finance, information processing, and communication. Within sociobehavioral contexts, the new mirror-exponential may have application to the problem of approximating the form and inequality of the wage distribution.
        KW  - wage distribution
KW  - wage inequality
KW  - social inequality
KW  - wage function
KW  - social status
KW  - Gini coefficient
KW  - folded distributions
KW  - gamma distribution
KW  - Erlang distribution
KW  - continuous univariate distributions
        ER  -