Discrete Distributions In Engineering And The Applied Sciences
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Discrete Distributions In Engineering And The Applied Sciences
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Author : Rajan Chattamvelli
language : en
Publisher: Springer
Release Date : 2020-06-04
Discrete Distributions In Engineering And The Applied Sciences written by Rajan Chattamvelli and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-06-04 with Mathematics categories.
This is an introductory book on discrete statistical distributions and its applications. It discusses only those that are widely used in the applications of probability and statistics in everyday life. The purpose is to give a self-contained introduction to classical discrete distributions in statistics. Instead of compiling the important formulas (which are available in many other textbooks), we focus on important applications of each distribution in various applied fields like bioinformatics, genomics, ecology, electronics, epidemiology, management, reliability, etc., making this book an indispensable resource for researchers and practitioners in several scientific fields. Examples are drawn from different fields. An up-to-date reference appears at the end of the book. Chapter 1 introduces the basic concepts on random variables, and gives a simple method to find the mean deviation (MD) of discrete distributions. The Bernoulli and binomial distributions are discussed in detail in Chapter 2. A short chapter on discrete uniform distribution appears next. The next two chapters are on geometric and negative binomial distributions. Chapter 6 discusses the Poisson distribution in-depth, including applications in various fields. Chapter 7 is on hypergeometric distribution. As most textbooks in the market either do not discuss, or contain only brief description of the negative hypergeometric distribution, we have included an entire chapter on it. A short chapter on logarithmic series distribution follows it, in which a theorem to find the kth moment of logarithmic distribution using (k-1)th moment of zero-truncated geometric distribution is presented. The last chapter is on multinomial distribution and its applications. The primary users of this book are professionals and practitioners in various fields of engineering and the applied sciences. It will also be of use to graduate students in statistics, research scholars in science disciplines, and teachers of statistics, biostatistics, biotechnology, education, and psychology.
Statistical Distributions In Engineering
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Author : Karl V. Bury
language : en
Publisher: Cambridge University Press
Release Date : 1999-01-13
Statistical Distributions In Engineering written by Karl V. Bury and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-01-13 with Mathematics categories.
This 1999 book presents single-variable statistical distributions useful in solving practical problems in a wide range of engineering contexts.
Data Guided Healthcare Decision Making
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Author : Ramalingam Shanmugam
language : en
Publisher: Cambridge University Press
Release Date : 2023-06-22
Data Guided Healthcare Decision Making written by Ramalingam Shanmugam and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-06-22 with Medical categories.
This book effectively exposes and illustrates the ideas and tools for optimal healthcare decisions taken from evidence.
Descriptive Statistics For Scientists And Engineers
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Author : Rajan Chattamvelli
language : en
Publisher: Springer Nature
Release Date : 2023-06-21
Descriptive Statistics For Scientists And Engineers written by Rajan Chattamvelli and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-06-21 with Technology & Engineering categories.
This book introduces descriptive statistics and covers a broad range of topics of interest to students and researchers in various applied science disciplines. This includes measures of location, spread, skewness, and kurtosis; absolute and relative measures; and classification of spread, skewness, and kurtosis measures, L-moment based measures, van Zwet ordering of kurtosis, and multivariate kurtosis. Several novel topics are discussed including the recursive algorithm for sample variance; simplification of complicated summation expressions; updating formulas for sample geometric, harmonic and weighted means; divide-and-conquer algorithms for sample variance and covariance; L-skewness; spectral kurtosis, etc. A large number of exercises are included in each chapter that are drawn from various engineering fields along with examples that are illustrated using the R programming language. Basic concepts are introduced before moving on to computational aspects. Some applications in bioinformatics, finance, metallurgy, pharmacokinetics (PK), solid mechanics, and signal processing are briefly discussed. Every analyst who works with numeric data will find the discussion very illuminating and easy to follow.
Introduction To Probability And Statistics For Engineers
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Author : Milan Holický
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-08-04
Introduction To Probability And Statistics For Engineers written by Milan Holický and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-08-04 with Mathematics categories.
The theory of probability and mathematical statistics is becoming an indispensable discipline in many branches of science and engineering. This is caused by increasing significance of various uncertainties affecting performance of complex technological systems. Fundamental concepts and procedures used in analysis of these systems are often based on the theory of probability and mathematical statistics. The book sets out fundamental principles of the probability theory, supplemented by theoretical models of random variables, evaluation of experimental data, sampling theory, distribution updating and tests of statistical hypotheses. Basic concepts of Bayesian approach to probability and two-dimensional random variables, are also covered. Examples of reliability analysis and risk assessment of technological systems are used throughout the book to illustrate basic theoretical concepts and their applications. The primary audience for the book includes undergraduate and graduate students of science and engineering, scientific workers and engineers and specialists in the field of reliability analysis and risk assessment. Except basic knowledge of undergraduate mathematics no special prerequisite is required.
Aspects Of Differential Geometry V
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Author : Esteban Calviño-Louzao
language : en
Publisher: Springer Nature
Release Date : 2022-05-31
Aspects Of Differential Geometry V written by Esteban Calviño-Louzao and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-05-31 with Mathematics categories.
Book V completes the discussion of the first four books by treating in some detail the analytic results in elliptic operator theory used previously. Chapters 16 and 17 provide a treatment of the techniques in Hilbert space, the Fourier transform, and elliptic operator theory necessary to establish the spectral decomposition theorem of a self-adjoint operator of Laplace type and to prove the Hodge Decomposition Theorem that was stated without proof in Book II. In Chapter 18, we treat the de Rham complex and the Dolbeault complex, and discuss spinors. In Chapter 19, we discuss complex geometry and establish the Kodaira Embedding Theorem.
The Navier Stokes Problem
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Author : Alexander G. Ramm
language : en
Publisher: Springer Nature
Release Date : 2022-06-01
The Navier Stokes Problem written by Alexander G. Ramm and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-06-01 with Mathematics categories.
The main result of this book is a proof of the contradictory nature of the Navier‒Stokes problem (NSP). It is proved that the NSP is physically wrong, and the solution to the NSP does not exist on R+ (except for the case when the initial velocity and the exterior force are both equal to zero; in this case, the solution (, ) to the NSP exists for all ≥ 0 and (, ) = 0). It is shown that if the initial data 0() ≢ 0, (,) = 0 and the solution to the NSP exists for all ε R+, then 0() := (, 0) = 0. This Paradox proves that the NSP is physically incorrect and mathematically unsolvable, in general. Uniqueness of the solution to the NSP in the space 21(R3) × C(R+) is proved, 21(R3) is the Sobolev space, R+ = [0, ∞). Theory of integral equations and inequalities with hyper-singular kernels is developed. The NSP is reduced to an integral inequality with a hyper-singular kernel.
Healthcare Policy Innovation And Digitalization
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Author : Eyüp Çetin
language : en
Publisher: Springer Nature
Release Date : 2023-12-29
Healthcare Policy Innovation And Digitalization written by Eyüp Çetin and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-12-29 with Business & Economics categories.
This book takes a deep look at healthcare in today’s post-pandemic world. It combines both theory and application to reflect a new era for healthcare. The need for innovation, digitalization, and enhanced policies in healthcare has never been greater than it is today. Taking this need into consideration, this book offers a multidisciplinary approach to healthcare, in both managerial and clinical views. Since the book combines both qualitative and quantitative studies about healthcare, readers will receive a broad view of healthcare issues and policies in today’s world.
Probability Distributions Used In Reliability Engineering
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Author : Andrew N O'Connor
language : en
Publisher: RIAC
Release Date : 2011
Probability Distributions Used In Reliability Engineering written by Andrew N O'Connor and has been published by RIAC this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Mathematics categories.
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.
Probability And Statistics For Engineering And The Sciences
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Author : Jay Devore
language : en
Publisher: Cengage Learning
Release Date : 2007-01-26
Probability And Statistics For Engineering And The Sciences written by Jay Devore and has been published by Cengage Learning this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-01-26 with Mathematics categories.
This market-leading text provides a comprehensive introduction to probability and statistics for engineering students in all specialties. This proven, accurate book and its excellent examples evidence Jay Devore’s reputation as an outstanding author and leader in the academic community. Devore emphasizes concepts, models, methodology, and applications as opposed to rigorous mathematical development and derivations. Through the use of lively and realistic examples, students go beyond simply learning about statistics-they actually put the methods to use. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.