题目：MLE for a continuous exponential family with scale and truncation parameters under the optimal ranked set sampling

报告人: 陈望学 博士（吉首大学）

Abstract:

This talk will discuss MLEs of the parameters for a continuous exponential family with scale and lower truncation parameters under ranked set sampling (RSS). We firstly find the optimal RSS according to the character of the family, viz, arrange the RSS based on quasi complete and sufficient statistic of iid samples. Then under this RSS, a sufficient condition for the existence of the MLEs, which is easily used in practice, is obtained. Using the condition, the existence for the MLEs of the parameters from some usual distributions in this family are proved. Numerical simulations for these distributions fully support the result from the above two step optimizations of the sampling and the estimator method.

时间：10月15日（星期一）下午4:15-5:15

地点：首都师大新教2楼 513  教室

欢迎全体师生积极参加！