Empirical Likelihood and Quantile Methods for Time Series - Fumiya Akashi, Yan Liu, Masanobu Taniguchi

Empirical Likelihood and Quantile Methods for Time Series (eBook)

Efficiency, Robustness, Optimality, and Prediction

Fumiya Akashi, Yan Liu, Masanobu Taniguchi (Autoren)

eBook Download: PDF

2018 | 1st ed. 2018
X, 136 Seiten
Springer Singapore (Verlag)
978-981-10-0152-9 (ISBN)

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.

Yan Liu, Dr., Waseda University, y.liu2@kurenai.waseda.jp, 3-4-1 Okubo, Shinjuku-ku, Tokyo 169-8555, Japan

Fumiya Akashi, Dr., Waseda University, f.akashi@kurenai.waseda.jp, 3-4-1 Okubo, Shinjuku-ku, Tokyo 169-8555, Japan

Masanobu Taniguchi, Professor, Research Importance Position, Research Institute for Science & Engineering, Waseda University, taniguchi@waseda.jp, 3-4-1 Okubo, Shinjuku-ku, Tokyo 169-8555, Japan

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 makesanalysis 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.

Yan Liu, Dr., Waseda University, y.liu2@kurenai.waseda.jp, 3-4-1 Okubo, Shinjuku-ku, Tokyo 169-8555, JapanFumiya Akashi, Dr., Waseda University, f.akashi@kurenai.waseda.jp, 3-4-1 Okubo, Shinjuku-ku, Tokyo 169-8555, JapanMasanobu Taniguchi, Professor, Research Importance Position, Research Institute for Science & Engineering, Waseda University, taniguchi@waseda.jp, 3-4-1 Okubo, Shinjuku-ku, Tokyo 169-8555, Japan

Chapter 1. Introduction to Nonstandard Analysis in Time Series Analysis.- Chapter 2. Parameter Estimation by Quantile Prediction Error.- Chapter 3. Hypotheses Testing by Generalized Empirical Likelihood for Stable Processes.- Chapter 4. Higher Order Efficiency of Generalized Empirical Likelihood for Dependent Data.- Chapter 5. Robust Aspects of Empirical Likelihood for Unified Prediction Error.- Chapter 6. Applications.

Erscheint lt. Verlag	5.12.2018
Reihe/Serie	JSS Research Series in Statistics
	JSS Research Series in Statistics
	JSS Research Series in Statistics
	SpringerBriefs in Statistics
	SpringerBriefs in Statistics
Zusatzinfo	X, 136 p. 10 illus., 9 illus. in color.
Verlagsort	Singapore
Sprache	englisch
Themenwelt	Mathematik / Informatik ► Mathematik ► Statistik
	Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik
	Sozialwissenschaften ► Soziologie ► Empirische Sozialforschung
	Wirtschaft ► Volkswirtschaftslehre ► Ökonometrie
Schlagworte	Efficiency • empirical likelihood • Heavy Tail • Quantile Score • Robustness
ISBN-10	981-10-0152-9 / 9811001529
ISBN-13	978-981-10-0152-9 / 9789811001529

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