On the Bivariate Kummer-Beta Type IV Distribution
| Autor: | Schalk William Human, Rianne Jacobs, Andriette Bekker |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2012 |
| Předmět: |
Statistics and Probability
Pure mathematics Percentile Distribution (number theory) variables Probability density function Percentage point Bivariate analysis PE&RC Normal-gamma distribution Pearson product-moment correlation coefficient Physics::Geophysics symbols.namesake Statistics symbols moments quotient Computer Science::Symbolic Computation product Beta distribution Mathematics |
| Zdroj: | Communications in Statistics. Part A, Theory and Methods 41 (2012) 18 Communications in Statistics. Part A, Theory and Methods, 41(18), 3339-3354 |
| ISSN: | 0361-0926 3339-3354 |
| DOI: | 10.1080/03610926.2011.560737 |
| Popis: | In this article, the non central bivariate Kummer-beta Type IV distribution is introduced and derived via the Laplace transform of the non central bivariate beta distribution by Gupta et al. (2011 ). We focus on and discuss the central bivariate Kummer-beta Type IV distribution; this distribution is a special case of the non central bivariate Kummer-beta Type IV distribution and extends the popular Jones’ bivariate beta distribution. The probability density functions of the product and the ratio of the components of the central bivariate Kummer-beta Type IV distribution are also derived and we provide tabulations of the associated lower percentage points as well as some upper percentage points that are useful in reliability. |
| Databáze: | OpenAIRE |
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