Improved sequential Cramer-Rao type integral inequality

摘要

Cramer-Rao type integral inequalities were known for obtaining lower bounds for Bayesian risk for squared error loss functions for estimators based on fixed sample size. A sequential Cramer-Rao type integral inequality was derived by Prakasa Rao (Proc. Andhra Pradesh Akademi of Sciences (2000) 5: 23-38). An improved version of this inequality is obtained using a recent result on improved Cauchy-Schwartz inequality due to Walker (Statist. Probab. Lett. (2017) 122: 86-90).