摘要
We first obtain the Petrov theorem for pairwise NQD(negative quadrant dependent) random variables which may have different distributions.Some well-known results are improved and extended.Next,we give an example to clarify one of the important properties of sequences of pairwise NQD random variables,so that we can point out some mistakes that have appeared in recent published papers.
We first obtain the Petrov theorem for pairwise NQD(negative quadrant dependent) random variables which may have different distributions.Some well-known results are improved and extended.Next,we give an example to clarify one of the important properties of sequences of pairwise NQD random variables,so that we can point out some mistakes that have appeared in recent published papers.
基金
Supported by the National Natural Science Foundation of China (10671149)