Certain Studies on the Multivariate Logarithmic Series Distribution

摘要

The following aspects of the multivariate logarithmic series distribution are studied: The distributions related to the multivariate logarithmic series distribution including its marginal and conditional distributions, moment properties and the moments problem, some regression and correlation analysis, location of the mode, estimation of parameters by the methods of maximum likelihood and unbiased minimum variance. At the end, an application of the multivariate logarithmic series distribution in the field of population and community ecology is discussed. (Author)