Skip to main content Accessibility help

We use cookies to distinguish you from other users and to provide you with a better experience on our websites. Close this message to accept cookies or find out how to manage your cookie settings.

Close cookie message
×
Hostname: page-component-848d4c4894-5nwft Total loading time: 0 Render date: 2024-05-01T10:12:07.232Z Has data issue: false hasContentIssue false

7 - Generalized Beta Lomax Distribution

Published online by Cambridge University Press:  13 April 2022

Vijay P. Singh  and
Lan Zhang
Vijay P. Singh
Affiliation:
Texas A & M University
Lan Zhang
Affiliation:
University of Akron, Ohio
Get access

Summary

The four-parameter beta Lomax (FPBL) distribution is a generalization of the beta distribution through random variable transformation. The FPBL distribution may be reduced to three-parameter distribution and may also be extended to five-parameter beta Lomax distribution by adding the location parameter. In this chapter, the FPBL distribution is derived using the entropy theory and then its parameters are estimated with the principle of maximum entropy and the method of maximum likelihood estimation.

Keywords

four-parameter beta Lomax (FPBL)beta distributionthree-parameter distributionentropymaximum likelihood estimation
Type
Chapter
Information
Generalized Frequency Distributions for Environmental and Water Engineering , pp. 187 - 207
Publisher: Cambridge University Press
Print publication year: 2022

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Eugene, N., Lee, C., and Famoye, F. (2002). Beta-normal distribution and its applications. Communications in Statistics – Theory and Method, Vol. 31, pp. 497–512.CrossRefGoogle Scholar
Mahmoud, M.R. and Abd El Ghafour, A.S. (2013). Shannon entropy for generalized Feller–Pareto (GFP) family and order statistics of GFP subfamilies. Applied Mathematical Sciences, Vol. 7, No. 65, pp. 3247–3253.CrossRefGoogle Scholar

Save book to Kindle

To save this book to your Kindle, first ensure coreplatform@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.

Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

Available formats
×

Save book to Dropbox

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Dropbox.

Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

Available formats
×