In the last decade, time-series econometrics has made extraordinary developments on unit roots and cointegration. However, this progress has taken divergent directions, and has been subjected to criticism from outside the field. In this book, Professor Hatanaka surveys the field, examines those portions that are useful for macroeconomics, and responds to the criticism. His survey of the literature covers not only econometric methods, but also the application of these methods to macroeconomic studies. The most vigorous criticism has been that unit roots to do not exist in macroeconomic variables, and thus that cointegration analysis is irrelevant to macroeconomics. The judgement of this book is that unit roots are present in macroeconomic variables when we consider periods of 20 to 40 years, but that the critics may be right when periods of 100 years are considered. Fortunately, most of the time series data used for macroeconomic studies cover fall within the shorter time span. Among the numerous methods for unit roots and cointegration, those useful from macroeconomic studies are examined and explained in detail, without overburdening the reader with unnecessary mathematics. Other, less applicable methods are dicussed briefly, and their weaknesses are exposed. Hatanaka has rigourously based his judgements about usefulness on whether the inference is appropriate for the length of the data sets available, and also on whether a proper inference can be made on the sort of propositions that macroeconomists wish to test. This book highlights the relations between cointegration and economic theories, and presents cointegrated regression as a revolution in econometric methods. Its analysis is of relevance to academic and professional or applied econometricians. Step-by-step explanations of concepts and techniques make the book a self-contained text for graduate students.

The important data of economics are in the form of time series; therefore, the statistical methods used will have to be those designed for time series data. New methods for analyzing series containing no trends have been developed by communication engineering, and much recent research has been devoted to adapting and extending these methods so that they will be suitable for use with economic series. This book presents the important results of this research and further advances the application of the recently developed Theory of Spectra to economics. In particular, Professor Hatanaka demonstrates the new technique in treating two problems-business cycle indicators, and the acceleration principle existing in department store data. Originally published in 1964. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

The important data of economics are in the form of time series; therefore, the statistical methods used will have to be those designed for time series data. New methods for analyzing series containing no trends have been developed by communication engineering, and much recent research has been devoted to adapting and extending these methods so that they will be suitable for use with economic series. This book presents the important results of this research and further advances the application of the recently developed Theory of Spectra to economics. In particular, Professor Hatanaka demonstrates the new technique in treating two problems-business cycle indicators, and the acceleration principle existing in department store data. Originally published in 1964. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.