This paper introduced a new BivariateModifiedWeibull (BMW) distribution. It is aMarshall-Olkin type. Also, we introduce an extension of it and we call it bivariate Modified Weibull Geometric distribution. Marginal and conditional distribution functions are studied. Also, joint hazard rate function and maximum likelihood estimators (MLEs) for the parameters are presented. An application of BMW and BMWG distributions to an UEFA Champion′s League data set is provided and the profiles of the log-likelihood function of parameters of BMWD and BMWGD are plotted.
Digital Object Identifier (DOI)
H. El-Bassiouny, A.; S. Shahen, H.; and Abouhawwash, Mohamed
"A New Bivariate Modified Weibull Distribution and its Extended Distribution,"
Journal of Statistics Applications & Probability: Vol. 7
, Article 1.
Available at: https://dc.naturalspublishing.com/jsap/vol7/iss2/1