On some aspects of a bivariate alternative zero-inflated logarithmic series distribution  

作　　者：C.Satheesh Kumar A.Riyaz 

机构地区：[1]Department of Statistics,University of Kerala,Trivandrum,Kerala,India

出　　处：《Statistical Theory and Related Fields》2023年第2期130-143,共14页统计理论及其应用（英文）

摘　　要：In this paper,we discuss some important aspects of the bivariate alternative zero inflated log-arithmic series distribution(BAZILSD)of which the marginals are the alternative zero-inflated logarithmic series ditributions of Kumar and Riyaz(2015.An alternative version of zero-inflated logarithmic series distribution and some of its applications.Journal of Statistical Computation and Simulation,85(6),1117-1127).We study some important properties of the distribution by deriving expressions for its probability mass function,factorial moments,conditional probabil-ity generating functions,and recursion formulae for its probilities,raw moments and factorial moments.The parameters of the BAZILSD are estimated by the method of maximum likelihood and certain test procedures are also considered.Further certain real-life data applications are cited for ilustrating the usefulness of the model.A simulation study is conducted for assessing the performance of the maximum likelihood estimators of the parameters of the BAZILSD.

关 键 词：Factorial moments generalized lkeliood ratio test probability generating function Rao's score test zero-inflated distributions 

分 类 号：O174[理学—数学]