Empirical Likelihood and Quantile Methods for Time Series: Efficiency, Robustness, Optimality, and Prediction
by Yan Liu (Author), Fumiya Akashi (Contributor), Masanobu Taniguchi (Contributor)

About the Author
Yan Liu, Dr., Waseda University, 3-4-1 Okubo, Shinjuku-ku, Tokyo 169-8555, Japan
Fumiya Akashi, Dr., Waseda University, 3-4-1 Okubo, Shinjuku-ku, Tokyo 169-8555, Japan
Masanobu Taniguchi, Professor, Research Importance Position, Research Institute for Science & Engineering, Waseda University, 3-4-1 Okubo, Shinjuku-ku, Tokyo 169-8555, Japan

About this book
This book integrates the fundamentals of asymptotic theory of statistical inference for time series under nonstandard settings, e.g., infinite variance processes, not only from the point of view of efficiency but also from that of robustness and optimality by minimizing prediction error. This is the first book to consider the generalized empirical likelihood applied to time series models in frequency domain and also the estimation motivated by minimizing quantile prediction error without assumption of true model. It provides the reader with a new horizon for understanding the prediction problem that occurs in time series modeling and a contemporary approach of hypothesis testing by the generalized empirical likelihood method. Nonparametric aspects of the methods proposed in this book also satisfactorily address economic and financial problems without imposing redundantly strong restrictions on the model, which has been true until now. Dealing with infinite variance processes makes analysis of economic and financial data more accurate under the existing results from the demonstrative research. The scope of applications, however, is expected to apply to much broader academic fields. The methods are also sufficiently flexible in that they represent an advanced and unified development of prediction form including multiple-point extrapolation, interpolation, and other incomplete past forecastings. Consequently, they lead readers to a good combination of efficient and robust estimate and test, and discriminate pivotal quantities contained in realistic time series models.

Brief contents
1. Introduction
2. Parameter Estimation Based on Prediction
3. Quantile Method for Time Series
4. Empirical Likelihood Method for Time Series
5. Self-weighted GEL Methods for Infinite Variance Processes

Series: SpringerBriefs in Statistics
Pages: 148
Publisher: Springer; 1st ed. 2018 edition (December 6, 2018)
Language: English
ISBN-10: 9811001510
ISBN-13: 978-9811001512

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