Sign-Based Methods in Linear Statistical Models. Translations of Mathematical Monographs, Volume 162

M. V. Boldin, G. I. Simonova, and Yu. N. Tyurin

ISBN 10: 0821803719 / ISBN 13: 9780821803714

Verlag: American Mathematical Society, 1997

234 pp., hardcover, ex library else text clean and binding tight. - If you are reading this, this item is actually (physically) in our stock and ready for shipment once ordered. We are not bookjackers. Buyer is responsible for any additional duties, taxes, or fees required by recipient's country. Bestandsnummer des Verkäufers ZB1270700

Inhaltsangabe:

Translated from the original Russian by D.B. Chibisov. Part one covers linear and factor models involving independent observations. In the second part, linear models of time series, primarily autoregressive models, are considered. The sign-based approach is based on the assumption that random errors take positive or negative values with equal probabilities. Under this assumption, the sign procedures are distribution-free, their procedures are robust to violations of model assumptions, and they have fairly high relative asymptotic efficiency. No index. Annotation c. by Book News, Inc., Portland, Or.

Reseña del editor: For nonparametric statistics, the last half of this century was the time when rank-based methods originated, were vigorously developed, reached maturity, and received wide recognition. The rank-based approach in statistics consists in ranking the observed values and using only the ranks rather than the original numerical data. In fitting relationships to observed data, the ranks of residuals from the fitted dependence are used. The signed-based approach is based on the assumption that random errors take positive or negative values with equal probabilities. Under this assumption, the sign procedures are distribution-free. These procedures are robust to violations of model assumptions, for instance, to even a considerable number of gross errors in observations. In addition, sign procedures, have fairly high relative asymptotic efficiency, in spite of the obvious loss of information incurred by the use of signs instead of the corresponding numerical values. In this work, sign-based methods in the framework of linear models are developed. In the first part of the book, there are linear and factor models involving independent observations. In the second part, linear models of time series, primarily autoregressive models, are considered.

Bibliografische Details

Titel: Sign-Based Methods in Linear Statistical ...
Verlag: American Mathematical Society
Erscheinungsdatum: 1997
Einband: Hardcover
Zustand: Good