Multivariate Discrete Q Distributions

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Multivariate Discrete q-Distributions

Author : Charalambos A. Charalambides
Publisher : Springer Nature
ISBN 13 : 3031437136
Total Pages : 134 pages
Book Rating : 4.0/5 (314 download)

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Book Synopsis Multivariate Discrete q-Distributions by : Charalambos A. Charalambides

Download or read book Multivariate Discrete q-Distributions written by Charalambos A. Charalambides and published by Springer Nature. This book was released on 2023-12-24 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to the study of multivariate discrete q-distributions, which is greatly facilitated by existing multivariate q-sequences and q-functions. Classical multivariate discrete distributions are defined on a sequence of independent and identically distributed Bernoulli trials, with either being a success of a certain rank (level) or a failure. The author relaxes the assumption that the probability of success of a trial is constant by assuming that it varies geometrically with the number of trials and/or the number of successes. The latter is advantageous in the sense that it permits incorporating the experience gained from the previous trials and/or successes, which leads to multivariate discrete q-distributions. Furthermore, q-multinomial and negative q-multinomial formulae are obtained. Next, the book addresses q-multinomial and negative q-multinomial distributions of the first and second kind. The author also examines multiple q-Polya urn model, multivariate q-Polya and inverse q-Polya distributions. Presents definitions and theorems that highlight key concepts and worked examples to illustrate the various applications Contains numerous exercises at varying levels of difficulty that consolidate the presented concepts and results Includes hints and answers to all exercises via the appendix and is supplemented with an Instructor's Solution Manual

Discrete q-Distributions

Author : Charalambos A. Charalambides
Publisher : John Wiley & Sons
ISBN 13 : 1119119057
Total Pages : 264 pages
Book Rating : 4.1/5 (191 download)

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Book Synopsis Discrete q-Distributions by : Charalambos A. Charalambides

Download or read book Discrete q-Distributions written by Charalambos A. Charalambides and published by John Wiley & Sons. This book was released on 2016-03-16 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: A self-contained study of the various applications and developments of discrete distribution theory Written by a well-known researcher in the field, Discrete q-Distributions features an organized presentation of discrete q-distributions based on the stochastic model of a sequence of independent Bernoulli trials. In an effort to keep the book self-contained, the author covers all of the necessary basic q-sequences and q-functions. The book begins with an introduction of the notions of a q-power, a q-factorial, and a q-binomial coefficient and proceeds to discuss the basic q-combinatorics and q-hypergeometric series. Next, the book addresses discrete q-distributions with success probability at a trial varying geometrically, with rate q, either with the number of previous trials or with the number of previous successes. Further, the book examines two interesting stochastic models with success probability at any trial varying geometrically both with the number of trials and the number of successes and presents local and global limit theorems. Discrete q-Distributions also features: Discussions of the definitions and theorems that highlight key concepts and results Several worked examples that illustrate the applications of the presented theory Numerous exercises at varying levels of difficulty that consolidate the concepts and results as well as complement, extend, or generalize the results Detailed hints and answers to all the exercises in an appendix to help less-experienced readers gain a better understanding of the content An up-to-date bibliography that includes the latest trends and advances in the field and provides a collective source for further research An Instructor’s Solutions Manual available on a companion website A unique reference for researchers and practitioners in statistics, mathematics, physics, engineering, and other applied sciences, Discrete q-Distributions is also an appropriate textbook for graduate-level courses in discrete statistical distributions, distribution theory, and combinatorics.

Univariate Discrete Distributions

Author : Norman L. Johnson
Publisher : John Wiley & Sons
ISBN 13 : 0471715808
Total Pages : 676 pages
Book Rating : 4.4/5 (717 download)

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Book Synopsis Univariate Discrete Distributions by : Norman L. Johnson

Download or read book Univariate Discrete Distributions written by Norman L. Johnson and published by John Wiley & Sons. This book was released on 2005-10-03 with total page 676 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Set Contains: Continuous Multivariate Distributions, Volume 1, Models and Applications, 2nd Edition by Samuel Kotz, N. Balakrishnan and Normal L. Johnson Continuous Univariate Distributions, Volume 1, 2nd Edition by Samuel Kotz, N. Balakrishnan and Normal L. Johnson Continuous Univariate Distributions, Volume 2, 2nd Edition by Samuel Kotz, N. Balakrishnan and Normal L. Johnson Discrete Multivariate Distributions by Samuel Kotz, N. Balakrishnan and Normal L. Johnson Univariate Discrete Distributions, 3rd Edition by Samuel Kotz, N. Balakrishnan and Normal L. Johnson Discover the latest advances in discrete distributions theory The Third Edition of the critically acclaimed Univariate Discrete Distributions provides a self-contained, systematic treatment of the theory, derivation, and application of probability distributions for count data. Generalized zeta-function and q-series distributions have been added and are covered in detail. New families of distributions, including Lagrangian-type distributions, are integrated into this thoroughly revised and updated text. Additional applications of univariate discrete distributions are explored to demonstrate the flexibility of this powerful method. A thorough survey of recent statistical literature draws attention to many new distributions and results for the classical distributions. Approximately 450 new references along with several new sections are introduced to reflect the current literature and knowledge of discrete distributions. Beginning with mathematical, probability, and statistical fundamentals, the authors provide clear coverage of the key topics in the field, including: Families of discrete distributions Binomial distribution Poisson distribution Negative binomial distribution Hypergeometric distributions Logarithmic and Lagrangian distributions Mixture distributions Stopped-sum distributions Matching, occupancy, runs, and q-series distributions Parametric regression models and miscellanea Emphasis continues to be placed on the increasing relevance of Bayesian inference to discrete distribution, especially with regard to the binomial and Poisson distributions. New derivations of discrete distributions via stochastic processes and random walks are introduced without unnecessarily complex discussions of stochastic processes. Throughout the Third Edition, extensive information has been added to reflect the new role of computer-based applications. With its thorough coverage and balanced presentation of theory and application, this is an excellent and essential reference for statisticians and mathematicians.

Lattice Path Combinatorics and Applications

Author : George E. Andrews
Publisher : Springer
ISBN 13 : 3030111024
Total Pages : 443 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Lattice Path Combinatorics and Applications by : George E. Andrews

Download or read book Lattice Path Combinatorics and Applications written by George E. Andrews and published by Springer. This book was released on 2019-03-02 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: The most recent methods in various branches of lattice path and enumerative combinatorics along with relevant applications are nicely grouped together and represented in this research contributed volume. Contributions to this edited volume will be mainly research articles however it will also include several captivating, expository articles (along with pictures) on the life and mathematical work of leading researchers in lattice path combinatorics and beyond. There will be four or five expository articles in memory of Shreeram Shankar Abhyankar and Philippe Flajolet and honoring George Andrews and Lajos Takács. There may be another brief article in memory of Professors Jagdish Narayan Srivastava and Joti Lal Jain. New research results include the kernel method developed by Flajolet and others for counting different classes of lattice paths continues to produce new results in counting lattice paths. The recent investigation of Fishburn numbers has led to interesting counting interpretations and a family of fascinating congruences. Formulas for new methods to obtain the number of Fq-rational points of Schubert varieties in Grassmannians continues to have research interest and will be presented here. Topics to be included are far reaching and will include lattice path enumeration, tilings, bijections between paths and other combinatoric structures, non-intersecting lattice paths, varieties, Young tableaux, partitions, enumerative combinatorics, discrete distributions, applications to queueing theory and other continuous time models, graph theory and applications. Many leading mathematicians who spoke at the conference from which this volume derives, are expected to send contributions including. This volume also presents the stimulating ideas of some exciting newcomers to the Lattice Path Combinatorics Conference series; “The 8th Conference on Lattice Path Combinatorics and Applications” provided opportunities for new collaborations; some of the products of these collaborations will also appear in this book. This book will have interest for researchers in lattice path combinatorics and enumerative combinatorics. This will include subsets of researchers in mathematics, statistics, operations research and computer science. The applications of the material covered in this edited volume extends beyond the primary audience to scholars interested queuing theory, graph theory, tiling, partitions, distributions, etc. An attractive bonus within our book is the collection of special articles describing the top recent researchers in this area of study and documenting the interesting history of who, when and how these beautiful combinatorial results were originally discovered.

Bayesian Ideas and Data Analysis

Author : Ronald Christensen
Publisher : CRC Press
ISBN 13 : 1439803552
Total Pages : 518 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Bayesian Ideas and Data Analysis by : Ronald Christensen

Download or read book Bayesian Ideas and Data Analysis written by Ronald Christensen and published by CRC Press. This book was released on 2011-07-07 with total page 518 pages. Available in PDF, EPUB and Kindle. Book excerpt: Emphasizing the use of WinBUGS and R to analyze real data, Bayesian Ideas and Data Analysis: An Introduction for Scientists and Statisticians presents statistical tools to address scientific questions. It highlights foundational issues in statistics, the importance of making accurate predictions, and the need for scientists and statisticians to collaborate in analyzing data. The WinBUGS code provided offers a convenient platform to model and analyze a wide range of data. The first five chapters of the book contain core material that spans basic Bayesian ideas, calculations, and inference, including modeling one and two sample data from traditional sampling models. The text then covers Monte Carlo methods, such as Markov chain Monte Carlo (MCMC) simulation. After discussing linear structures in regression, it presents binomial regression, normal regression, analysis of variance, and Poisson regression, before extending these methods to handle correlated data. The authors also examine survival analysis and binary diagnostic testing. A complementary chapter on diagnostic testing for continuous outcomes is available on the book’s website. The last chapter on nonparametric inference explores density estimation and flexible regression modeling of mean functions. The appropriate statistical analysis of data involves a collaborative effort between scientists and statisticians. Exemplifying this approach, Bayesian Ideas and Data Analysis focuses on the necessary tools and concepts for modeling and analyzing scientific data. Data sets and codes are provided on a supplemental website.

Bayesian Reasoning and Machine Learning

Author : David Barber
Publisher : Cambridge University Press
ISBN 13 : 0521518148
Total Pages : 739 pages
Book Rating : 4.5/5 (215 download)

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Book Synopsis Bayesian Reasoning and Machine Learning by : David Barber

Download or read book Bayesian Reasoning and Machine Learning written by David Barber and published by Cambridge University Press. This book was released on 2012-02-02 with total page 739 pages. Available in PDF, EPUB and Kindle. Book excerpt: A practical introduction perfect for final-year undergraduate and graduate students without a solid background in linear algebra and calculus.

An Introduction to Discrete-Valued Time Series

Author : Christian H. Weiss
Publisher : John Wiley & Sons
ISBN 13 : 1119096960
Total Pages : 300 pages
Book Rating : 4.1/5 (19 download)

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Book Synopsis An Introduction to Discrete-Valued Time Series by : Christian H. Weiss

Download or read book An Introduction to Discrete-Valued Time Series written by Christian H. Weiss and published by John Wiley & Sons. This book was released on 2018-02-05 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: A much-needed introduction to the field of discrete-valued time series, with a focus on count-data time series Time series analysis is an essential tool in a wide array of fields, including business, economics, computer science, epidemiology, finance, manufacturing and meteorology, to name just a few. Despite growing interest in discrete-valued time series—especially those arising from counting specific objects or events at specified times—most books on time series give short shrift to that increasingly important subject area. This book seeks to rectify that state of affairs by providing a much needed introduction to discrete-valued time series, with particular focus on count-data time series. The main focus of this book is on modeling. Throughout numerous examples are provided illustrating models currently used in discrete-valued time series applications. Statistical process control, including various control charts (such as cumulative sum control charts), and performance evaluation are treated at length. Classic approaches like ARMA models and the Box-Jenkins program are also featured with the basics of these approaches summarized in an Appendix. In addition, data examples, with all relevant R code, are available on a companion website. Provides a balanced presentation of theory and practice, exploring both categorical and integer-valued series Covers common models for time series of counts as well as for categorical time series, and works out their most important stochastic properties Addresses statistical approaches for analyzing discrete-valued time series and illustrates their implementation with numerous data examples Covers classical approaches such as ARMA models, Box-Jenkins program and how to generate functions Includes dataset examples with all necessary R code provided on a companion website An Introduction to Discrete-Valued Time Series is a valuable working resource for researchers and practitioners in a broad range of fields, including statistics, data science, machine learning, and engineering. It will also be of interest to postgraduate students in statistics, mathematics and economics.

Probability Distributions Used in Reliability Engineering

Author : Andrew N O'Connor
Publisher : RIAC
ISBN 13 : 1933904062
Total Pages : 220 pages
Book Rating : 4.9/5 (339 download)

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Book Synopsis Probability Distributions Used in Reliability Engineering by : Andrew N O'Connor

Download or read book Probability Distributions Used in Reliability Engineering written by Andrew N O'Connor and published by RIAC. This book was released on 2011 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book provides details on 22 probability distributions. Each distribution section provides a graphical visualization and formulas for distribution parameters, along with distribution formulas. Common statistics such as moments and percentile formulas are followed by likelihood functions and in many cases the derivation of maximum likelihood estimates. Bayesian non-informative and conjugate priors are provided followed by a discussion on the distribution characteristics and applications in reliability engineering.

Bulletin of the Institute of Mathematics, Academia Sinica

Author : Zhong yang yan jiu yuan. Shu xue yan jiu suo
Publisher :
ISBN 13 :
Total Pages : 1008 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis Bulletin of the Institute of Mathematics, Academia Sinica by : Zhong yang yan jiu yuan. Shu xue yan jiu suo

Download or read book Bulletin of the Institute of Mathematics, Academia Sinica written by Zhong yang yan jiu yuan. Shu xue yan jiu suo and published by . This book was released on 2007 with total page 1008 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Case Studies in Bayesian Statistical Modelling and Analysis

Author : Clair L. Alston
Publisher : John Wiley & Sons
ISBN 13 : 1118394321
Total Pages : 411 pages
Book Rating : 4.1/5 (183 download)

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Book Synopsis Case Studies in Bayesian Statistical Modelling and Analysis by : Clair L. Alston

Download or read book Case Studies in Bayesian Statistical Modelling and Analysis written by Clair L. Alston and published by John Wiley & Sons. This book was released on 2012-10-10 with total page 411 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides an accessible foundation to Bayesian analysis using real world models This book aims to present an introduction to Bayesian modelling and computation, by considering real case studies drawn from diverse fields spanning ecology, health, genetics and finance. Each chapter comprises a description of the problem, the corresponding model, the computational method, results and inferences as well as the issues that arise in the implementation of these approaches. Case Studies in Bayesian Statistical Modelling and Analysis: Illustrates how to do Bayesian analysis in a clear and concise manner using real-world problems. Each chapter focuses on a real-world problem and describes the way in which the problem may be analysed using Bayesian methods. Features approaches that can be used in a wide area of application, such as, health, the environment, genetics, information science, medicine, biology, industry and remote sensing. Case Studies in Bayesian Statistical Modelling and Analysis is aimed at statisticians, researchers and practitioners who have some expertise in statistical modelling and analysis, and some understanding of the basics of Bayesian statistics, but little experience in its application. Graduate students of statistics and biostatistics will also find this book beneficial.

Handbook of Income Distribution

Author : Anthony B. Atkinson
Publisher : Elsevier
ISBN 13 : 0444594760
Total Pages : 2370 pages
Book Rating : 4.4/5 (445 download)

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Book Synopsis Handbook of Income Distribution by : Anthony B. Atkinson

Download or read book Handbook of Income Distribution written by Anthony B. Atkinson and published by Elsevier. This book was released on 2014-12-30 with total page 2370 pages. Available in PDF, EPUB and Kindle. Book excerpt: What new theories, evidence, explanations, and policies have shaped our studies of income distribution in the 21st century? Editors Tony Atkinson and Francois Bourguignon assemble the expertise of leading authorities in this survey of substantive issues. In two volumes they address subjects that were not covered in Volume 1 (2000), such as education, health and experimental economics; and subjects that were covered but where there have been substantial new developments, such as the historical study of income inequality and globalization. Some chapters discuss future growth areas, such as inheritance, the links between inequality and macro-economics and finance, and the distributional implications of climate change. They also update empirical advances and major changes in the policy environment. - The volumes define and organize key areas of income distribution studies - Contributors focus on identifying newly developing questions and opportunities for future research - The authoritative articles emphasize the ways that income mobility and inequality studies have recently gained greater political significance

Multivariate Approximation and Applications

Author : N. Dyn
Publisher : Cambridge University Press
ISBN 13 : 0521800234
Total Pages : 300 pages
Book Rating : 4.5/5 (218 download)

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Book Synopsis Multivariate Approximation and Applications by : N. Dyn

Download or read book Multivariate Approximation and Applications written by N. Dyn and published by Cambridge University Press. This book was released on 2001-05-17 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: Approximation theory in the multivariate setting has many applications including numerical analysis, wavelet analysis, signal processing, geographic information systems, computer aided geometric design and computer graphics. This advanced introduction to multivariate approximation and related topics consists of nine articles written by leading experts surveying many of the new ideas and their applications. Each article takes the reader to the forefront of research and ends with a comprehensive bibliography.

Maximum-entropy Models in Science and Engineering

Author : Jagat Narain Kapur
Publisher : John Wiley & Sons
ISBN 13 : 9788122402162
Total Pages : 660 pages
Book Rating : 4.4/5 (21 download)

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Book Synopsis Maximum-entropy Models in Science and Engineering by : Jagat Narain Kapur

Download or read book Maximum-entropy Models in Science and Engineering written by Jagat Narain Kapur and published by John Wiley & Sons. This book was released on 1989 with total page 660 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Is The First Comprehensive Book About Maximum Entropy Principle And Its Applications To A Diversity Of Fields Like Statistical Mechanics, Thermo-Dynamics, Business, Economics, Insurance, Finance, Contingency Tables, Characterisation Of Probability Distributions (Univariate As Well As Multivariate, Discrete As Well As Continuous), Statistical Inference, Non-Linear Spectral Analysis Of Time Series, Pattern Recognition, Marketing And Elections, Operations Research And Reliability Theory, Image Processing, Computerised Tomography, Biology And Medicine. There Are Over 600 Specially Constructed Exercises And Extensive Historical And Bibliographical Notes At The End Of Each Chapter.The Book Should Be Of Interest To All Applied Mathematicians, Physicists, Statisticians, Economists, Engineers Of All Types, Business Scientists, Life Scientists, Medical Scientists, Radiologists And Operations Researchers Who Are Interested In Applying The Powerful Methodology Based On Maximum Entropy Principle In Their Respective Fields.

Analysis of Mixed Data

Author : Alexander R. de Leon
Publisher : CRC Press
ISBN 13 : 1439884714
Total Pages : 264 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Analysis of Mixed Data by : Alexander R. de Leon

Download or read book Analysis of Mixed Data written by Alexander R. de Leon and published by CRC Press. This book was released on 2013-01-16 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive source on mixed data analysis, Analysis of Mixed Data: Methods & Applications summarizes the fundamental developments in the field. Case studies are used extensively throughout the book to illustrate interesting applications from economics, medicine and health, marketing, and genetics. Carefully edited for smooth readability and seamless transitions between chapters All chapters follow a common structure, with an introduction and a concluding summary, and include illustrative examples from real-life case studies in developmental toxicology, economics, medicine and health, marketing, and genetics An introductory chapter provides a "wide angle" introductory overview and comprehensive survey of mixed data analysis Blending theory and methodology, this book illustrates concepts via data from different disciplines. Analysis of Mixed Data: Methods & Applications traces important developments, collates basic results, presents terminology and methodologies, and gives an overview of statistical research applications. It is a valuable resource to methodologically interested as well as subject matter-motivated researchers in many disciplines.

Probability

Author : Geoffrey Grimmett
Publisher : Oxford University Press
ISBN 13 : 9780198532644
Total Pages : 230 pages
Book Rating : 4.5/5 (326 download)

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Book Synopsis Probability by : Geoffrey Grimmett

Download or read book Probability written by Geoffrey Grimmett and published by Oxford University Press. This book was released on 1986 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: A concise introduction to probability and random processes at first-degree level with exercises and problems.

Springer Handbook of Engineering Statistics

Author : Hoang Pham
Publisher : Springer Science & Business Media
ISBN 13 : 1852338067
Total Pages : 1135 pages
Book Rating : 4.8/5 (523 download)

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Book Synopsis Springer Handbook of Engineering Statistics by : Hoang Pham

Download or read book Springer Handbook of Engineering Statistics written by Hoang Pham and published by Springer Science & Business Media. This book was released on 2006 with total page 1135 pages. Available in PDF, EPUB and Kindle. Book excerpt: In today’s global and highly competitive environment, continuous improvement in the processes and products of any field of engineering is essential for survival. This book gathers together the full range of statistical techniques required by engineers from all fields. It will assist them to gain sensible statistical feedback on how their processes or products are functioning and to give them realistic predictions of how these could be improved. The handbook will be essential reading for all engineers and engineering-connected managers who are serious about keeping their methods and products at the cutting edge of quality and competitiveness.

Advances in Cryptology – ASIACRYPT 2017

Author : Tsuyoshi Takagi
Publisher : Springer
ISBN 13 : 3319706942
Total Pages : 823 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Advances in Cryptology – ASIACRYPT 2017 by : Tsuyoshi Takagi

Download or read book Advances in Cryptology – ASIACRYPT 2017 written by Tsuyoshi Takagi and published by Springer. This book was released on 2017-11-29 with total page 823 pages. Available in PDF, EPUB and Kindle. Book excerpt: The three-volume set LNCS 10624, 10625, 10626 constitutes the refereed proceedings of the 23rd International Conference on the Theory and Applications of Cryptology and Information Security, ASIACRYPT 2017, held in Hong Kong, China, in December 2017.The 65 revised full papers were carefully selected from 243 submissions. They are organized in topical sections on Post-Quantum Cryptography; Symmetric Key Cryptanalysis; Lattices; Homomorphic Encryptions; Access Control; Oblivious Protocols; Side Channel Analysis; Pairing-based Protocols; Quantum Algorithms; Elliptic Curves; Block Chains; Multi-Party Protocols; Operating Modes Security Proofs; Cryptographic Protocols; Foundations; Zero-Knowledge Proofs; and Symmetric Key Designs.