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by E. Lukacs

eBook Developments in Characteristic Function Theory (A Charles Griffin Book) download ISBN: 0195205774
Author: E. Lukacs
Publisher: Oxford University Press (March 12, 1987)
Language: English
Pages: 190
ePub: 1479 kb
Fb2: 1269 kb
Rating: 4.4
Other formats: doc lit mbr txt
Category: Math Sciences
Subcategory: Mathematics

Eugene Lukacs (Hungarian: Lukács Jenő, 14 August 1906 – 21 December 1987) was an American statistician notable for his work in characterization of distributions, stability theory, and being the author of Characteristic Functions, a classic textbook . .

Eugene Lukacs (Hungarian: Lukács Jenő, 14 August 1906 – 21 December 1987) was an American statistician notable for his work in characterization of distributions, stability theory, and being the author of Characteristic Functions, a classic textbook in the field. Born to a Jewish family in born in Szombathely, from six weeks after birth Lukacs lived in Vienna, Austria. There he received primary and secondary education and studied mathematics at University of Vienna.

December 31, 1982, A Charles Griffin Book. Hardcover in English.

Developments in Characteristic Function Theory (A Charles Griffin Book. 1 2 3 4 5. Want to Read. December 31, 1982, A Charles Griffin Book.

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Series: A Charles Griffin Book. Hardcover: 360 pages. I found out that the reading was an enjoyment for myself, mainly because of the way it presents important results in the measure theory and probability theory contexts related with the Fourier-Stieltjes Transform or the Characteristic Function. Moreover, it shows and proves important results which offten need to be used or at least considered now on applied topics like for instance Financial and Actuarial Mathematics. I consider that this book is a classic. 5 people found this helpful.

zbMATHGoogle Scholar. Lukacs, Eugene, Developments in Characteristic Function Theory, Macmillan, New York, 1983. zbMATHGoogle Scholar. Widder, D. An Introduction to Transform Theory, Academic Press, New York, 1971. Cite this chapter as: Fristedt . Gray L. (1997) Characteristic Functions. In: A Modern Approach to Probability Theory. Probability and its Applications. Birkhäuser, Boston, MA.

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Characteristic Functions. Bounded Statistics 16 Tables and table captions Table 1: Effect of various parameters for a PDF over a compact support.

Items related to Developments in Characteristic Function Theory. The general theory covered in this volume includes many new results and the author makes an important correction to previously held views on unimodality. Lukacs, Eugene Developments in Characteristic Function Theory. ISBN 13: 9780028485508. Developments in Characteristic Function Theory. Extensive new material is included on analytic distribution functions, ridge functions, and functions of bounded variation.

Characteristic function (probability theory). Flag as Inappropriate. The characteristic function approach is particularly useful in analysis of linear combinations of independent random variables: a classical proof of the Central Limit Theorem uses characteristic functions and Lévy's continuity theorem. Another important application is to the theory of the decomposability of random variables.

The general theory covered in this volume includes many new results and the author makes an important correction to previously held views on unimodality. Extensive new material is included on analytic distribution functions, ridge functions, and functions of bounded variation.