caa a22 4500 467922373 CHVBK 20180406152920.0 cr unu---uuuuu 170328e20060401xx s 000 0 eng 10.1007/s00477-005-0003-8 doi (NATIONALLICENCE)springer-10.1007/s00477-005-0003-8 Ratio of generalized random variables with application [Elektronische Daten] [Saralees Nadarajah, B. Kibria] The generalized Pareto distribution is one of the popular models in the environmental sciences. Scientists in these areas are often interested in comparing the values of an environmental variable under two different conditions, locations, etc. This would require the study of the ratio X/(X+Y) where X and Y are independent generalized Pareto random variables. In this note, the exact distribution of X/(X+Y) is derived, which turns out to involve the Gauss hypergeometric function. An application of this result is provided to assess the relative extremity of rainfall for 14 locations in Florida. Some computer programs for use in the applications are also provided. Springer-Verlag, 2005 Nadarajah Saralees Department of Statistics, University of Nebraska, 68583, Lincoln, NE, USA aut Kibria B. Department of Statistics, Florida International University, 33199, Miami, FL, USA aut Stochastic Environmental Research and Risk Assessment Springer-Verlag 20/3(2006-04-01), 206-212 1436-3240 20:3<206 2006 20 477 https://doi.org/10.1007/s00477-005-0003-8 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00477-005-0003-8 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Nadarajah Saralees Department of Statistics, University of Nebraska, 68583, Lincoln, NE, USA aut NATIONALLICENCE 700 1- Kibria B. Department of Statistics, Florida International University, 33199, Miami, FL, USA aut NATIONALLICENCE 773 0- Stochastic Environmental Research and Risk Assessment Springer-Verlag 20/3(2006-04-01), 206-212 1436-3240 20:3<206 2006 20 477 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer