Exponential Distribution

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Exponential Distribution

Author : K. Balakrishnan
Publisher : Routledge
Page : 664 pages
File Size : 52,9 Mb
Release : 2019-01-22
Category : Mathematics
ISBN : 9781351449120

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Exponential Distribution by K. Balakrishnan Pdf

The exponential distribution is one of the most significant and widely used distribution in statistical practice. It possesses several important statistical properties, and yet exhibits great mathematical tractability. This volume provides a systematic and comprehensive synthesis of the diverse literature on the theory and applications of the expon

Introductory Business Statistics (hardcover, Full Color)

Author : Alexander Holmes,Susan Dean,Barbara Illowsky
Publisher : Unknown
Page : 0 pages
File Size : 54,8 Mb
Release : 2023-06-30
Category : Electronic
ISBN : 1998109496

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Introductory Business Statistics (hardcover, Full Color) by Alexander Holmes,Susan Dean,Barbara Illowsky Pdf

Printed in color. Introductory Business Statistics is designed to meet the scope and sequence requirements of the one-semester statistics course for business, economics, and related majors. Core statistical concepts and skills have been augmented with practical business examples, scenarios, and exercises. The result is a meaningful understanding of the discipline, which will serve students in their business careers and real-world experiences.

Exponential Distribution

Author : K. Balakrishnan
Publisher : Routledge
Page : 414 pages
File Size : 48,8 Mb
Release : 2019-01-22
Category : Mathematics
ISBN : 9781351449113

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Exponential Distribution by K. Balakrishnan Pdf

The exponential distribution is one of the most significant and widely used distribution in statistical practice. It possesses several important statistical properties, and yet exhibits great mathematical tractability. This volume provides a systematic and comprehensive synthesis of the diverse literature on the theory and applications of the expon

Statistics with Mathematica

Author : Martha L. Abell,James P. Braselton,John Arthur Rafter
Publisher : Academic Press
Page : 654 pages
File Size : 51,9 Mb
Release : 1999
Category : Computers
ISBN : 0120415542

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Statistics with Mathematica by Martha L. Abell,James P. Braselton,John Arthur Rafter Pdf

Covers the use of Mathematica for applications ranging from descriptive statistics, through multiple regression and nonparametric methods; uses virtually all of Mathematica's built-in statistical commands, as well as those contained in various Mathematica packages; Additionally, the authors have written numerous procedures to extend Mathematica's capabilities, which are also included on the CD-ROM

Matrix-Exponential Distributions in Applied Probability

Author : Mogens Bladt,Bo Friis Nielsen
Publisher : Springer
Page : 736 pages
File Size : 46,8 Mb
Release : 2017-05-18
Category : Mathematics
ISBN : 9781493970490

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Matrix-Exponential Distributions in Applied Probability by Mogens Bladt,Bo Friis Nielsen Pdf

This book contains an in-depth treatment of matrix-exponential (ME) distributions and their sub-class of phase-type (PH) distributions. Loosely speaking, an ME distribution is obtained through replacing the intensity parameter in an exponential distribution by a matrix. The ME distributions can also be identified as the class of non-negative distributions with rational Laplace transforms. If the matrix has the structure of a sub-intensity matrix for a Markov jump process we obtain a PH distribution which allows for nice probabilistic interpretations facilitating the derivation of exact solutions and closed form formulas. The full potential of ME and PH unfolds in their use in stochastic modelling. Several chapters on generic applications, like renewal theory, random walks and regenerative processes, are included together with some specific examples from queueing theory and insurance risk. We emphasize our intention towards applications by including an extensive treatment on statistical methods for PH distributions and related processes that will allow practitioners to calibrate models to real data. Aimed as a textbook for graduate students in applied probability and statistics, the book provides all the necessary background on Poisson processes, Markov chains, jump processes, martingales and re-generative methods. It is our hope that the provided background may encourage researchers and practitioners from other fields, like biology, genetics and medicine, who wish to become acquainted with the matrix-exponential method and its applications.

Introductory Statistics 2e (hardcover, Full Color)

Author : Barbara Illowsky,Susan Dean
Publisher : Unknown
Page : 0 pages
File Size : 43,8 Mb
Release : 2023-12-14
Category : Business & Economics
ISBN : 1998295478

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Introductory Statistics 2e (hardcover, Full Color) by Barbara Illowsky,Susan Dean Pdf

Book Publication Date: Dec 13, 2023. Full color. Introductory Statistics 2e provides an engaging, practical, and thorough overview of the core concepts and skills taught in most one-semester statistics courses. The text focuses on diverse applications from a variety of fields and societal contexts, including business, healthcare, sciences, sociology, political science, computing, and several others. The material supports students with conceptual narratives, detailed step-by-step examples, and a wealth of illustrations, as well as collaborative exercises, technology integration problems, and statistics labs. The text assumes some knowledge of intermediate algebra, and includes thousands of problems and exercises that offer instructors and students ample opportunity to explore and reinforce useful statistical skills.

Characterization Problems Associated with the Exponential Distribution

Author : T. A. Azlarov,N. A. Volodin
Publisher : Springer
Page : 152 pages
File Size : 47,5 Mb
Release : 1986-05-09
Category : Mathematics
ISBN : STANFORD:36105032330818

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Characterization Problems Associated with the Exponential Distribution by T. A. Azlarov,N. A. Volodin Pdf

Problems of calculating the reliability of instruments and systems and the development of measures to increase efficiency and reduce operational costs confronted physicists and mathe maticians at the end of the '40's and the beginning of the '50's in connection with the unrelia bility of electro-vacuum instruments used in aviation. Since then steadily increasing demands for the accuracy, reliability and complexity required in electronic equipment have served as a stimulus in the development of the theory of reliability. From 1950 to 1955 Epstein and Sobel [67,68] and Davis [62], in an analysis of statistical data of the operating time of an instrument up to failure, showed that the distribution is exponential in many cases. Consequently, the ex ponential distribution became basic to research associated with experiments on life expectancy. Further research has shown that there are a whole series of problems in reliability theory for which the exponential distribution is inapplicable. However, it can practically always be used as a first approximation. The ease of computational work due to the nice properties of the exponential distribution (for example, the lack of memory property, see Section 1) is also a reason for its frequent use. AB a rule, data on the behavior of the failure rate function are used to test the hypothesis that a given distribution belongs to the class of exponential distributions, and order statistics are used to estimate the parameter of the exponential distribution.

Simulation Techniques for Discrete Event Systems

Author : I. Mitrani
Publisher : Cambridge University Press
Page : 200 pages
File Size : 50,5 Mb
Release : 1982-12-09
Category : Computers
ISBN : 0521238854

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Simulation Techniques for Discrete Event Systems by I. Mitrani Pdf

To perform computer simulation successfully, two rather different sets of skills are required. One of these relates to programming: a simulation program should do what its author intends and do it efficiently. The other is concerned with the collection and analysis of data: statistical tools have to be used in order to obtain with a minimum of effort, accurate and reliable estimates for the desired performance measures. Dr Mitrani covers both of these aspects of the simulation method. The important topics of point and interval estimation, simulation efficiency and the analysis of simulation experiments are discussed in detail. This book, first published in 1982, will be useful to both undergraduate and postgraduate students taking courses on simulation in departments of computer science, operations research and statistics in universities and polytechnics. It will be of benefit also to practitioners in the field.

Thermal Power Plant Performance Analysis

Author : Gilberto Francisco Martha de Souza
Publisher : Springer Science & Business Media
Page : 289 pages
File Size : 44,8 Mb
Release : 2012-01-04
Category : Technology & Engineering
ISBN : 9781447123095

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Thermal Power Plant Performance Analysis by Gilberto Francisco Martha de Souza Pdf

The analysis of the reliability and availability of power plants is frequently based on simple indexes that do not take into account the criticality of some failures used for availability analysis. This criticality should be evaluated based on concepts of reliability which consider the effect of a component failure on the performance of the entire plant. System reliability analysis tools provide a root-cause analysis leading to the improvement of the plant maintenance plan. Taking in view that the power plant performance can be evaluated not only based on thermodynamic related indexes, such as heat-rate, Thermal Power Plant Performance Analysis focuses on the presentation of reliability-based tools used to define performance of complex systems and introduces the basic concepts of reliability, maintainability and risk analysis aiming at their application as tools for power plant performance improvement, including: · selection of critical equipment and components, · definition of maintenance plans, mainly for auxiliary systems, and · execution of decision analysis based on risk concepts. The comprehensive presentation of each analysis allows future application of the methodology making Thermal Power Plant Performance Analysis a key resource for undergraduate and postgraduate students in mechanical and nuclear engineering.

An Introduction to Heavy-Tailed and Subexponential Distributions

Author : Sergey Foss,Dmitry Korshunov,Stan Zachary
Publisher : Springer Science & Business Media
Page : 167 pages
File Size : 44,6 Mb
Release : 2013-05-21
Category : Mathematics
ISBN : 9781461471011

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An Introduction to Heavy-Tailed and Subexponential Distributions by Sergey Foss,Dmitry Korshunov,Stan Zachary Pdf

Heavy-tailed probability distributions are an important component in the modeling of many stochastic systems. They are frequently used to accurately model inputs and outputs of computer and data networks and service facilities such as call centers. They are an essential for describing risk processes in finance and also for insurance premia pricing, and such distributions occur naturally in models of epidemiological spread. The class includes distributions with power law tails such as the Pareto, as well as the lognormal and certain Weibull distributions. One of the highlights of this new edition is that it includes problems at the end of each chapter. Chapter 5 is also updated to include interesting applications to queueing theory, risk, and branching processes. New results are presented in a simple, coherent and systematic way. Graduate students as well as modelers in the fields of finance, insurance, network science and environmental studies will find this book to be an essential reference.

A Primer on Statistical Distributions

Author : Narayanaswamy Balakrishnan,V. B. Nevzorov
Publisher : John Wiley & Sons
Page : 322 pages
File Size : 49,7 Mb
Release : 2004-12-04
Category : Mathematics
ISBN : 9780471722212

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A Primer on Statistical Distributions by Narayanaswamy Balakrishnan,V. B. Nevzorov Pdf

Designed as an introduction to statistical distribution theory. * Includes a first chapter on basic notations and definitions that are essential to working with distributions. * Remaining chapters are divided into three parts: Discrete Distributions, Continuous Distributions, and Multivariate Distributions. * Exercises are incorporated throughout the text in order to enhance understanding of materials just taught.

Statistical Methods for Reliability Data

Author : William Q. Meeker,Luis A. Escobar,Francis G. Pascual
Publisher : John Wiley & Sons
Page : 708 pages
File Size : 46,5 Mb
Release : 2021-12-29
Category : Technology & Engineering
ISBN : 9781118115459

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Statistical Methods for Reliability Data by William Q. Meeker,Luis A. Escobar,Francis G. Pascual Pdf

An authoritative guide to the most recent advances in statistical methods for quantifying reliability Statistical Methods for Reliability Data, Second Edition (SMRD2) is an essential guide to the most widely used and recently developed statistical methods for reliability data analysis and reliability test planning. Written by three experts in the area, SMRD2 updates and extends the long- established statistical techniques and shows how to apply powerful graphical, numerical, and simulation-based methods to a range of applications in reliability. SMRD2 is a comprehensive resource that describes maximum likelihood and Bayesian methods for solving practical problems that arise in product reliability and similar areas of application. SMRD2 illustrates methods with numerous applications and all the data sets are available on the book’s website. Also, SMRD2 contains an extensive collection of exercises that will enhance its use as a course textbook. The SMRD2's website contains valuable resources, including R packages, Stan model codes, presentation slides, technical notes, information about commercial software for reliability data analysis, and csv files for the 93 data sets used in the book's examples and exercises. The importance of statistical methods in the area of engineering reliability continues to grow and SMRD2 offers an updated guide for, exploring, modeling, and drawing conclusions from reliability data. SMRD2 features: Contains a wealth of information on modern methods and techniques for reliability data analysis Offers discussions on the practical problem-solving power of various Bayesian inference methods Provides examples of Bayesian data analysis performed using the R interface to the Stan system based on Stan models that are available on the book's website Includes helpful technical-problem and data-analysis exercise sets at the end of every chapter Presents illustrative computer graphics that highlight data, results of analyses, and technical concepts Written for engineers and statisticians in industry and academia, Statistical Methods for Reliability Data, Second Edition offers an authoritative guide to this important topic.

Operational Risk with Excel and VBA

Author : Nigel Da Costa Lewis
Publisher : John Wiley & Sons
Page : 296 pages
File Size : 55,9 Mb
Release : 2004-04-09
Category : Business & Economics
ISBN : 0471478873

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Operational Risk with Excel and VBA by Nigel Da Costa Lewis Pdf

A valuable reference for understanding operational risk Operational Risk with Excel and VBA is a practical guide that only discusses statistical methods that have been shown to work in an operational risk management context. It brings together a wide variety of statistical methods and models that have proven their worth, and contains a concise treatment of the topic. This book provides readers with clear explanations, relevant information, and comprehensive examples of statistical methods for operational risk management in the real world. Nigel Da Costa Lewis (Stamford, CT) is president and CEO of StatMetrics, a quantitative research boutique. He received his PhD from Cambridge University.

Stochastic Ageing and Dependence for Reliability

Author : Chin Diew Lai,Min Xie
Publisher : Springer Science & Business Media
Page : 437 pages
File Size : 51,6 Mb
Release : 2006-09-24
Category : Mathematics
ISBN : 9780387342320

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Stochastic Ageing and Dependence for Reliability by Chin Diew Lai,Min Xie Pdf

This book provides a panoramic view of theory and applications of Ageing and Dependence in the use of mathematical methods in reliability and survival analysis. Ageing and dependence are important characteristics in reliability and survival analysis. They affect decisions with regard to maintenance, repair/replacement, price setting, warranties, medical studies, and other areas. Most of the works containing the topics covered here are theoretical in nature. However, this book offers applications, exercises, and examples. It serves as a reference for professors and researchers involved in reliability and survival analysis.

Introduction to Monte Carlo Methods for Transport and Diffusion Equations

Author : Bernard Lapeyre,Etienne Pardoux,Rémi Sentis
Publisher : OUP Oxford
Page : 178 pages
File Size : 41,6 Mb
Release : 2003
Category : Language Arts & Disciplines
ISBN : 0198525931

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Introduction to Monte Carlo Methods for Transport and Diffusion Equations by Bernard Lapeyre,Etienne Pardoux,Rémi Sentis Pdf

This text is used by for the resolution of partial differential equations, trasnport equations, the Boltzmann equation and the parabolic equations of diffusion.