عنوان
پدید آورنده
موضوع
رده
کتابخانه
محل استقرار
INTERNATIONAL STANDARD BOOK NUMBER
(Number (ISBN
9789048147694
(Number (ISBN
9789401588089
NATIONAL BIBLIOGRAPHY NUMBER
Number
b408374
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
Unimodality of Probability Measures
General Material Designation
[Book]
First Statement of Responsibility
by Emile M. J. Bertin, Ioan Cuculescu, Radu Theodorescu.
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Dordrecht :
Name of Publisher, Distributor, etc.
Imprint: Springer,
Date of Publication, Distribution, etc.
1997.
SERIES
Series Title
Mathematics and Its Applications ;
Volume Designation
382
CONTENTS NOTE
Text of Note
1 Prelude -- 2 Khinchin structures -- 3 Concepts of unimodality -- 4 Khinchin's classical unimodality -- 5 Discrete unimodality -- 6 Strong unimodality -- 7 Positivity of functional moments -- Symbol index -- Name index.
0
SUMMARY OR ABSTRACT
Text of Note
Labor omnia vincit improbus. VIRGIL, Georgica I, 144-145. In the first part of his Theoria combinationis observationum erroribus min imis obnoxiae, published in 1821, Carl Friedrich Gauss [Gau80, p.10] deduces a Chebyshev-type inequality for a probability density function, when it only has the property that its value always decreases, or at least does l not increase, if the absolute value of x increases . One may therefore conjecture that Gauss is one of the first scientists to use the property of 'single-humpedness' of a probability density function in a meaningful probabilistic context. More than seventy years later, zoologist W.F.R. Weldon was faced with 'double humpedness'. Indeed, discussing peculiarities of a population of Naples crabs, possi bly connected to natural selection, he writes to Karl Pearson (E.S. Pearson [Pea78, p.328]): Out of the mouths of babes and sucklings hath He perfected praise! In the last few evenings I have wrestled with a double humped curve, and have overthrown it. Enclosed is the diagram... If you scoff at this, I shall never forgive you. Not only did Pearson not scoff at this bimodal probability density function, he examined it and succeeded in decomposing it into two 'single-humped curves' in his first statistical memoir (Pearson [Pea94]).
OTHER EDITION IN ANOTHER MEDIUM
International Standard Book Number
9789048147694
PIECE
Title
Springer eBooks
TOPICAL NAME USED AS SUBJECT
Distribution (Probability theory).
Functional equations.
Mathematics.
Statistics.
PERSONAL NAME - PRIMARY RESPONSIBILITY
Bertin, Emile M. J.
PERSONAL NAME - ALTERNATIVE RESPONSIBILITY
Cuculescu, Ioan.
Theodorescu, Radu.
CORPORATE BODY NAME - ALTERNATIVE RESPONSIBILITY
SpringerLink (Online service)
ORIGINATING SOURCE
Date of Transaction
20190307163000.0
ELECTRONIC LOCATION AND ACCESS
Electronic name
مطالعه متن کتاب [Book]
Y
