Abstract
A description of the mathematical properties of three-parameter kappa distribution (K3D) is provided. We consider the hazard rate function, the rth moment, the rth L-moment, and the asymptotic distribution of the extreme order statistics and their graphical illustrations. It turns out that this distribution is close to a generalized Pareto distribution, so that the K3D is suitable for modeling threshold excesses or modeling data that has a lower bound. In addition we studied three estimation methods (method of moments, method of L-moments, and maximum likelihood). The Monte Carlo simulation for performance evaluation shows that the maximum likelihood estimator and the L-moment estimator worked equally well. The method of moments estimator worked poorly for all cases. We illustrate its applicability for daily rainfall data.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: Stochastic Environmental Research and Risk Assessment
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
