1.

Record Nr.

UNINA9910830531203321

Autore

Johnson Mark E. <1952->

Titolo

Multivariate statistical simulation / / Mark E. Johnson

Pubbl/distr/stampa

New York : , : Wiley, , [1987]

©1987

ISBN

1-118-15074-0

1-118-15073-2

Descrizione fisica

1 online resource (248 p.)

Collana

Wiley Series in Probability and Statistics

Wiley series in probability and mathematical statistics. Applied probability and statistics

Disciplina

519.5350724

Soggetti

Multivariate analysis - Data processing

Mathematical statistics

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Includes bibliographical references and indexes.

Nota di contenuto

Cover; Title Page; Copyright Page; Preface; Contents; 1. Introduction; 1.1. Robustness of Hotelling's T2 Statistic; 1.2. Error Rates in Partial Discriminant Analysis; 1.3. Foutz' Test; 1.4. Overview; 2. Univariate Distributions and their Generation; 2.1. General Methods for Continuous Univariate Generation; 2.2. Normal Generators; 2.3. Johnson's Translation System; 2.4. Generalized Exponential Power Distribution; 2.5. Gamma Generators; 2.6. Uniform 0-1 Generators; 3. Multivariate Generation Techniques; 3.1. Conditional Distribution Approach; 3.2. Transformation Approach

3.3. Rejection Approach4. Multivariate Normal and Related Distributions; 4.1. Multivariate Normal Distribution; 4.2. Mixtures of Normal Variates; 5. Johnson's Translation System; 5.1. Plots for the SLL Distribution; 5.2. Plots for the SUU Distribution; 5.3. Contour Plots for the SBB Distribution; 5.4. Analytical Results; 5.5. Discriminant Analysis Applications; 6. Elliptically Contoured Distributions; 6.1. General Results for Elliptically Contoured Distributions; 6.2. Special Cases of Elliptically Contoured Distributions; 7. Circular, Spherical, and Related Distributions

7.1. Uniform Distributions7.2. Nonuniform Distributions; 8. Khintchine



Distributions; 8.1. Khintchine's Unimodality Theorem; 8.2. Identical Generators; 8.3. Independent Generators; 8.4. Other Possibilities; 9. Multivariate Burr, Pareto, and Logistic Distributions; 9.1. Standard Form and Properties; 9.2. Generalizations; 10. Miscellaneous Distributions; 10.1. Morgenstern's Distribution; 10.2. Plackett's Distribution; 10.3. Gumbel's Bivariate Exponential Distribution; 10.4. Ali-Mikhail-Haq's Distribution; 10.5. Wishart Distribution; 11. Research Directions; References; Supplementary References

Author IndexSubject Index

Sommario/riassunto

Provides state-of-the-art coverage for the researcher confronted with designing and executing a simulation study using continuous multivariate distributions. Concise writing style makes the book accessible to a wide audience. Well-known multivariate distributions are described, emphasizing a few representative cases from each distribution. Coverage includes Pearson Types II and VII elliptically contoured distributions, Khintchine distributions, and the unifying class for the Burr, Pareto, and logistic distributions. Extensively illustrated--the figures are unique, attractive, and reveal very n

2.

Record Nr.

UNINA9910373931603321

Autore

Connor Patrick L.S

Titolo

Inclusive b Jet Production in Proton-Proton Collisions : Precision Measurement with the CMS experiment at the LHC at √ s = 13 TeV / / by Patrick L.S. Connor

Pubbl/distr/stampa

Cham : , : Springer International Publishing : , : Imprint : Springer, , 2019

ISBN

3-030-34383-9

Edizione

[1st ed. 2019.]

Descrizione fisica

1 online resource (325 pages)

Collana

Springer Theses, Recognizing Outstanding Ph.D. Research, , 2190-5053

Disciplina

539.7212

Soggetti

Particles (Nuclear physics)

Quantum field theory

Mathematical physics

Sociophysics

Econophysics

Elementary Particles, Quantum Field Theory

Theoretical, Mathematical and Computational Physics

Data-driven Science, Modeling and Theory Building



Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di contenuto

Premisses -- Introduction to High Energy Physics -- Elements of Theory -- Phenomenology -- The Large Hadron Collider and the Compact Muon Solenoid -- Monte Carlo techniques and Physics Generators -- Discovery, overview and motivation of beauty physics -- Physics analysis -- General strategy and outline of the analysis -- Analysis at detector level -- Analysis at particle level -- Results -- Conclusions -- Summary, Conclusions and Perspectives -- Appendices -- Index.

Sommario/riassunto

A measurement of the double differential cross section for inclusive b jet production in proton-proton collisions as well as fraction of b jets in the inclusive jet production is presented as a function of the transverse momentum p T and the absolute rapidity |y|. The data samples were collected in the CMS experiment at LHC during 2016 and correspond to an integrated luminosity of 35.2 fb −1 at a centre-of-mass energy of 13 TeV. The jets are selected with p T > 74 GeV and |y| < 2.4; the b jets must contain a B hadron. The measurement has significant statistics up to p T ∼ O(TeV). Advanced methods of unfolding are performed to extract the signal. It is found that fixed-order calculations with underlying event describe the measurement well.