Open AccessA new development in the bivariate beta field
Author(s) -
Rianne Jacobs,
Andriëtte Bekker,
Schalk William Human
Publication year - 2011
Publication title -
suid-afrikaanse tydskrif vir natuurwetenskap en tegnologie/die suid-afrikaanse tydskrif vir natuurwetenskap en tegnologie
Language(s) - English
Resource type - Journals
eISSN - 2222-4173
pISSN - 0254-3486
DOI - 10.4102/satnt.v30i1.103
Subject(s) - bivariate analysis , beta (programming language) , beta distribution , distribution (mathematics) , molecular cell biology , mathematics , statistics , probability distribution , econometrics , statistical physics , physics , mathematical analysis , computer science , biology , programming language , microbiology and biotechnology
In this paper, the bivariate Kummer-beta type IV distribution, which extends the Jones’ bivariate beta distribution, is discussed. The probability density functions of the product and ratio of the components of this distribution are derived. Also, a shape analysis is done to investigate the effect of the new parameter.
Kummer-tipe verdelings vorm ’n prominente deel van statistiese verdelingsteorie. In die
literatuur is daar verskeie Kummer-tipe verdelings voorgestel, soos die werk van Armero en
Bayarri (1997), Ng en Kotz (1995), Gupta et al. (2001), Nagar en Gupta (2002) en Nagar en Cardeño (2001). Aandag is gegee aan eenveranderlike, meerveranderlike en matriks-Kummerverdelings.