多元p-阶刘维尔分布:参数估计与假设检验(英语)

Multivariate p-Order Liouville Distributions: Parameter EstimationAnd Hypothesis Testing

在观察服从p-阶刘维尔分布时,讨论了参数估计与假设检验问题。对密度生成子作某些假设后,得到了MLE,UMVU,UMP及UMPU,推广了独立同分布指数分布、Garnma分布、Weibull分布时的经典结果。

Problems of parameter estimation and hypothesis testing are discussed when the observations have p-order Liouville distributions. Under certain assumptions on the density generator, we obtain MLE, UMVU, UMP and UMPU, which generalize many classical results on independent, identically distributed, exponential or Gamma or Weibull data.