We study the asymptotics for the statistic of chi-square in type II error. By the contraction principle, the large deviations
and moderate deviations are obtained, and the rate function of moderate deviations can be calculated explicitly which is a
squared function.
Key words large deviations - moderate deviations - chi-square test
CLC number O211.4
Foundation item: Supported by the National Natural Science Foundation of China (10571139)
Biography: JIANG Hui (1981–), male, Ph.D. candidate, research direction: large deviation.