Last edited by Fer
Tuesday, July 28, 2020 | History

6 edition of Bonferroni-type inequalities with applications found in the catalog.

Bonferroni-type inequalities with applications

by JГЎnos Galambos

  • 238 Want to read
  • 37 Currently reading

Published by Springer in New York .
Written in English

    Subjects:
  • Distribution (Probability theory),
  • Inequalities (Mathematics)

  • Edition Notes

    Includes bibliographical references and index.

    StatementJanos Galambos, Italo Simonelli.
    SeriesProbability and its applications, Springer series in statistics
    ContributionsSimonelli, Italo.
    Classifications
    LC ClassificationsQA273.6 .G35 1996
    The Physical Object
    Paginationix, 269 p.
    Number of Pages269
    ID Numbers
    Open LibraryOL15180713M
    ISBN 100387947780

      Probability Inequalities in Multivariate Distributions is a comprehensive treatment of probability inequalities in multivariate distributions, balancing the treatment between theory and applications. The book is concerned only with those inequalities that are of types T1-T5. Bonferroni-Type Inequalities Chebyshev-Type Inequalities 7 Book Edition: 1. The second half addresses bounding results and applications of multivariate Bonferroni-type inequalities. The book shows how to construct new multiple testing procedures with probability upper bounds and goes beyond bivariate upper bounds by considering vectorized upper and hybrid bounds.

    Thanks for contributing an answer to Mathematics Stack Exchange! Please be sure to answer the question. Provide details and share your research! But avoid Asking for help, clarification, or responding to other answers. Making statements based on opinion; back them up with references or personal experience. Use MathJax to format equations. Multivariate Bonferroni-Type Inequalities: Theory and Applications presents a systematic account of research discoveries on multivariate Bonferroni-type inequalities published in the past decade.

    Probability and its Applications- A Series of the Applied Probability Trust (共37册), 这套丛书还有 《Diffusions and Elliptic Operators》,《Regeneration and Networks of Queues》,《Bonferroni-Type Inequalities with Applications》,《ARMA Model Identification》,《Foundations of Modern Probability》 . PROBABILITY INEQUALITIES FOR MULTIVARIATE DISTRIBUTIONS WITH APPLICATIONS TO STATISTICS Introduction and Summary Positive Dependence and Product-Type Inequalities Negative Dependence and Product-Type Inequalities Bonferroni-Type Inequalities Applications APPLICATIONS OF COMPOUND POISSON APPROXIMATION Introduction First Applications .


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Bonferroni-type inequalities with applications by JГЎnos Galambos Download PDF EPUB FB2

Bonferroni-Type Inequalities with Applications presents a large variety of extensions of the methods of inclusion and exclusion. Both methods for generating and methods for proof of such inequalities Cited by: The inequalities are utilized for finding asymptotic values and for limit theorems.

Applications vary from classical Bonferroni-type Inequalities with Applications | Janos Galambos | Springer. Bonferroni-type inequalities with applications | Janos Galambos, Italo Simonelli | download | B–OK.

Download books for free. Find books. Book Description. Multivariate Bonferroni-Type Inequalities: Theory and Applications presents a systematic account of research discoveries on multivariate Bonferroni-type inequalities published in the past decade.

The emergence of new bounding approaches pushes the conventional definitions of optimal inequalities and demands new insights into linear and Fréchet optimality. This book presents a large variety of extensions of the methods of inclusion and exclusion.

Both methods for generating and methods for proof of such inequalities are discussed. The inequalities are utilized for finding asymptotic values and for limit theorems. Applications vary from classical probability estimates to modern extreme value theory and combinatorial counting to random subset.

Multivariate Bonferroni-Type Inequalities V.I. Introduction and Notation V Multivariate Inequalities Which Are in Fact Univariate V The Multivariate Method of Polynomials V Further Multivariate Inequalities Chapter VI.

Classical Problems of Probability and Applications in Combinatorics VI. Limit Theorems VI Variants of the classical Bonferroni inequalities, which are valid for any finite family of events, are often referred to as Bonferroni-type inequalities.

A well-known Bonferroni-type inequality is the following improvement of due to Galambos: (2) (− 1) r P (⋃ v ∈ V A v) ≥ (− 1) r ∑ I ⊆ V 0 Cited by: 2.

Inequalities of Bonferroni-Galambos type with applications to the Tutte polynomial and the chromatic polynomial by K Dohmen, P Tittmann - JIPAM, J. Inequal. Pure Appl. Math. Galambos, I. Simonelli, "Bonferroni-type inequalities with applications", Springer () [a3] K.

Jordan, "The foundations of the theory of probability" Mat. Phys. Lapok, 34. Improved Bonferroni Inequalities and Binomially Bounded Functions Klaus Dohmen and Peter Tittmann Hochschule Mittweida, Technikumpl Mittweida, Germany Abstract We introduce the concept of a binomially bounded function and associate with each such function an improved Bonferroni-type inequality.

1 Introduction Let A v, v ∈ V, be finitely many events in some probability space Cited by: 2. Multivariate Bonferroni-Type Inequalities: Theory and Applications - Kindle edition by John Chen. Download it once and read it on your Kindle device, PC, phones or tablets.

Use features like bookmarks, note taking and highlighting while reading Multivariate Bonferroni-Type Inequalities: Theory and : $   The purpose of this paper is to examine the usability of Bonferroni-type combinatorial inequalities to estimation of support of itemsets as well as general Boolean expressions.

Families of inequalities for various types of Boolean expressions are presented and evaluated by: The Linear Programming Method --Ch. Multivariate Bonferroni-Type Inequalities --Ch.

Classical Problems of Probability and Applications in Combinatorics --Ch. VII. Applications in Number Theory --Ch. VIII. Statistical Applications --Ch. Extreme Value Theory --Ch. Miscellaneous Topics.

Kwerel (a, b, c) showed that Bonferroni-type inequalities can be obtained by solving a linear programming problem by the simplex method, and obtained all the inequalities of degree 2 on Pm (a) and the inequalities of degree 3 on P0 and pn (b).

Bonferroni-type inequalities with applications () by J Galambos, I Simonelli We give an application to the ‘bubbles ’ technique for detecting areas of the face used to discriminate fear from happiness. The purpose of this paper is to examine the usability of Bonferroni-type combinatorial inequalities to estimation of support of.

Multivariate Bonferroni-Type Inequalities: Theory and Applications presents a systematic account of research discoveries on multivariate Bonferroni-type inequalities published in the past decade.

The emergence of new bounding approaches pushes the conventional definitions of optimal inequalities and demands new insights into linear and Fréchet optimality. Bonferroni-type inequalities.

The Bonferroni inequalities may become impractical as a result of the large number of terms in (for notation, see Bonferroni inequalities). In order to overcome this difficulty, two kinds of modification can be performed: i) one can limit the number of used in a bound but combine this with "better".

Book: "Bonferroni-type inequalities with applications," (with J. Galambos). Springer's Applied Probability Series, ; Awards and Honors.

Texas Section MAA Distinguished Teaching Award; Contact Prof. Simonelli. Email Prof. Simonelli Phone: Bonferroni-type Inequalities with Applications (Probability and Its Applications) Galambos, Janos and Simonelli, Italo (1st Edition) by Janos Galambos, Italo Simonelli, János Galambos Hardcover, Pages, Published ISBN / ISBN / Need it Fast.

2 day shipping options 15 ' 6 Janos Galambos f~, 2 C J Temple University Book Edition: 1st Edition. Cite this chapter as: Galambos J., Xu Y. () Two Sets of Multivariate Bonferroni—type Inequalities. In: Nagaraja H.N., Sen P.K., Morrison D.F.

(eds) Statistical Cited by: 4. The asymptotic theory of extreme order statistics, 2nd ed., Krieger, Melbourne, Florida, Advanced probability theory. Marcel Dekker, New York, Advanced Probability theory, 2nd edition, Marcel Dekker, New York, Bonferroni - type Inequalities.Based on the numerical results presented in this article, it is evident that the Bonferroni-type inequalities are tight.

For all practical purposes, they determine the scan statistics.Title: Book review: Bonferroni-type inequalities with applications: Published in: Mededelingen van het Wiskundig Genootschap, ISSN AuthorAuthor: F.W.

Steutel.