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Title Optimum methods in statistics / edited by Ferenc Steiner ; [authors, L. Csernyák ... and others ; English text revised by L. Zilahi-Sebess and J. Verő ; translated by E. Bielek].

Published Budapest : Akadémiai Kiadó, [1997]
©1997

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Location Call No. Status
 UniM ERC  519.544 OPTI    AVAILABLE
Physical description 370 pages : illustrations ; 25 cm
Bibliography Includes bibliographical references (pages 351-362).
Contents 1. Type-distance of probability distribution pairs -- 2. Determinations of probability distribution types -- 3. Norms of deviations and residuals -- 4. Different characteristics for the dispersion of data -- 5. Asymptotic scatter characterising the accuracy of the determinations of the location parameter -- 6. Statistical efficiencies -- 7. Indices of robustness for characterizing the weak or strong dependency of efficiencies upon the error distribution types -- 8. Resistance against outliers. Breakdown bounds for the practice -- 9. Generalized and robustified covariance and correlation matrix -- 10. Examples to show the application of modern optimum methods -- App. I. Basic difference between the determination method of the scale parameter between the maximum likelihood principle (applied as [actual symbol not reproduciable]) and the MFV-procedures (minimizing the information loss) / L. Csernyak -- App. II. Determination of type using sample range / L. Csernyak.
App. III. Comment on an old dogma: "The data are normally distributed" / P. Szucs -- App. IV. Opposite behaviour of the P-norms compared to that of the L[subscript 2]-norm with respect to the simultaneously achieved accuracy in the space- and frequency-domain / F. Steiner and B. Hajagos -- App. V. Theoretical and practical consequences of the global optimization methods / P. Szucs -- App. VI. MFV-filtering to suppress errors. - A comparison with median filters / B. Hajagos and F. Steiner -- App. VII. "Built-in" statistics in geophysical instruments / B. Hajagos and F. Steiner -- App. VIII. Symmetrical stable probability distributions nearest lying to the types of the super-model [actual symbol not reproducible] / B. Hajagos and F. Steiner -- App. IX. MFV-corrected variances / F. Steiner, B. Hajagos and G. Hursan -- Acknowledgement - Concluding meditation of the editor.
Summary After an introduction on the philosophy of most frequent value (MFV) procedure, chapters deal with different problems, such as type- distance of probability distribution pairs, determination of probability distribution types, norms of deviations and residuals, different characteristics for the dispersion of data, asymptotic scatter characterizing the accuracy of the determinations of the location parameter, statistical efficiencies, indices of robustness, resistance against outliers, generalized and robustified covariance and correlation matrix, and applications of modern optimum methods. Awkwardly translated from Hungarian. No index. Distributed by ISBS. Annotation copyrighted by Book News, Inc., Portland, OR
Other author Steiner, Ferenc.
Csernyák, L.
Subject Mathematical statistics.
Mathematical optimization.
ISBN 963057439X