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Continuous Distributions in Engineering and the Applied Sciences -- Part II
  • Language: en
  • Pages: 168

Continuous Distributions in Engineering and the Applied Sciences -- Part II

  • Type: Book
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  • Published: 2021-07-07
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  • Publisher: Unknown

This is the second part of our book on continuous statistical distributions. It covers inverse-Gaussian, Birnbaum-Saunders, Pareto, Laplace, central

Correlation in Engineering and the Applied Sciences
  • Language: en
  • Pages: 193

Correlation in Engineering and the Applied Sciences

None

Random Variables for Scientists and Engineers
  • Language: en
  • Pages: 161

Random Variables for Scientists and Engineers

None

Discrete Distributions in Engineering and the Applied Sciences
  • Language: en
  • Pages: 205

Discrete Distributions in Engineering and the Applied Sciences

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 dra...

Continuous Distributions in Engineering and the Applied Sciences -- Part II
  • Language: en
  • Pages: 145

Continuous Distributions in Engineering and the Applied Sciences -- Part II

​This is the second part of our book on continuous statistical distributions. It covers inverse-Gaussian, Birnbaum-Saunders, Pareto, Laplace, central 2, , , Weibull, Rayleigh, Maxwell, and extreme value distributions. Important properties of these distribution are documented, and most common practical applications are discussed. This book can be used as a reference material for graduate courses in engineering statistics, mathematical statistics, and econometrics. Professionals and practitioners working in various fields will also find some of the chapters to be useful. Although an extensive literature exists on each of these distributions, we were forced to limit the size of each chapter a...

Continuous Distributions in Engineering and the Applied Sciences -- Part I
  • Language: en
  • Pages: 151

Continuous Distributions in Engineering and the Applied Sciences -- Part I

This is an introductory book on continuous statistical distributions and its applications. It is primarily written for graduate students in engineering, undergraduate students in statistics, econometrics, and researchers in various fields. The purpose is to give a self-contained introduction to most commonly used classical continuous distributions in two parts. Important applications of each distribution in various applied fields are explored at the end of each chapter. A brief overview of the chapters is as follows. Chapter 1 discusses important concepts on continuous distributions like location-and-scale distributions, truncated, size-biased, and transmuted distributions. A theorem on find...

A First Course in Complex Analysis
  • Language: en
  • Pages: 227

A First Course in Complex Analysis

This book introduces complex analysis and is appropriate for a first course in the subject at typically the third-year University level. It introduces the exponential function very early but does so rigorously. It covers the usual topics of functions, differentiation, analyticity, contour integration, the theorems of Cauchy and their many consequences, Taylor and Laurent series, residue theory, the computation of certain improper real integrals, and a brief introduction to conformal mapping. Throughout the text an emphasis is placed on geometric properties of complex numbers and visualization of complex mappings.

Regression in Engineering and the Applied Sciences
  • Language: en

Regression in Engineering and the Applied Sciences

  • Type: Book
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  • Published: 2024-12-29
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  • Publisher: Springer

This book presents a broad range of regression models including count regression models, constrained and penalised regression models such as ridge, LASSO, and elasticnet regression that are used in various applied science fields. The author describes the historical development of the least squares principle, simple linear regression, and Polynomial regression. In addition, logistic regression and multiple linear regression are discussed at length. A novel method to estimate the slope of linear regression is presented along with an emphasis on the importance of numeric problems. In addition, this book: Combines theory with numerical examples and presents a large number of exercises chosen fro...

The Navier–Stokes Problem
  • Language: en
  • Pages: 61

The Navier–Stokes Problem

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.

Descriptive Statistics for Scientists and Engineers
  • Language: en
  • Pages: 142

Descriptive Statistics for Scientists and Engineers

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; spect...