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- Title
A new continuous distribution and two new families of distributions based on the exponential.
- Authors
Jasso, Guillermina; Kotz, Samuel
- 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.
- Subjects
DISTRIBUTION (Probability theory); SOCIAL status; SOCIAL groups; ERLANG (Computer program language); EQUALITY; WAGES
- Publication
Statistica Neerlandica, 2007, Vol 61, Issue 3, p305
- ISSN
0039-0402
- Publication type
Article
- DOI
10.1111/j.1467-9574.2007.00358.x