A Survey of some Recent Results in Continuous Univariate Distributions.
Abstract
Pursuant to the authors on advances in discrete distributions (Johnson and Kotz (1982)) they have commenced work on advances in continuous univariate distributions from 1971 onwards. In contrast to the situation for discrete distributions, this field was markedly more fully developed by 1970, in regard to both variety of available distributions and sophistication of methods for fitting. Possibly as a consequence, there is now available a number of very useful survey articles for particular families of distributions. This document makes reference to these at appropriate points, indicating the nature of their contents. The interested reader is recommended to study these sources for more precise information. While taking advantage of the existence of these valuable summaries to reduce the volume of our own work, the author believe they should include enough descriptive material to provide an adequate picture of the current situation. In this discussion of distributions already in use before 1971, this document focuses mostly on methods of fitting (including the closely related topic of estimation of parameters), though there will often be examples of new applications and occasionally some new properties to report. In regard to distributions which have come into use since 1971 we will, in addition, endeavor to provide some indication of the genesis of the distribution, its properties and relations to other distributions.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jul 01, 1985
- Accession Number
- ADA157450
Entities
People
- N. L. Johnson
- S. Kotz
Organizations
- University of Maryland