Mathematical Sciences: Optimal Inference in Regression with Long Range Dependent Errors and in Bilinear Time Series

水文学、地球物理学和 经济学经常表现出长期依赖性。 高效 这种过程的模型参数的自适应估计器 将被开发。 双线性时间序列模型出现在经济学，气象学， 海洋学和地震学沿着其他一些领域。 这些重要类别的最佳推理程序 还将开发模型。 **

Data in diverse fields such as hydrology,geophysics and economics often display long range dependence. Efficient adaptive estimators for the model parameters of such processes will be developed. Bilinear time series models arise in economics, meteorology, oceanography, and seismology along with several other areas. Optimal inferential procedures for these important classes of models will also be developed. **