The Lognormal Distribution

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Assessment Of Treatment Plant Performance And Water Quality Data
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Author : Marcos Von|Verbyla Sperling (Matthew E.|Oliveira, Silvia M. A. C.)
language : en
Publisher:
Release Date : 2020
Assessment Of Treatment Plant Performance And Water Quality Data written by Marcos Von|Verbyla Sperling (Matthew E.|Oliveira, Silvia M. A. C.) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020 with categories.
Statistical Distributions
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Author : Nick T. Thomopoulos
language : en
Publisher: Springer
Release Date : 2017-10-10
Statistical Distributions written by Nick T. Thomopoulos and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-10-10 with Mathematics categories.
This book gives a description of the group of statistical distributions that have ample application to studies in statistics and probability. Understanding statistical distributions is fundamental for researchers in almost all disciplines. The informed researcher will select the statistical distribution that best fits the data in the study at hand. Some of the distributions are well known to the general researcher and are in use in a wide variety of ways. Other useful distributions are less understood and are not in common use. The book describes when and how to apply each of the distributions in research studies, with a goal to identify the distribution that best applies to the study. The distributions are for continuous, discrete, and bivariate random variables. In most studies, the parameter values are not known a priori, and sample data is needed to estimate parameter values. In other scenarios, no sample data is available, and the researcher seeks some insight that allows the estimate of the parameter values to be gained. This handbook of statistical distributions provides a working knowledge of applying common and uncommon statistical distributions in research studies. These nineteen distributions are: continuous uniform, exponential, Erlang, gamma, beta, Weibull, normal, lognormal, left-truncated normal, right-truncated normal, triangular, discrete uniform, binomial, geometric, Pascal, Poisson, hyper-geometric, bivariate normal, and bivariate lognormal. Some are from continuous data and others are from discrete and bivariate data. This group of statistical distributions has ample application to studies in statistics and probability and practical use in real situations. Additionally, this book explains computing the cumulative probability of each distribution and estimating the parameter values either with sample data or without sample data. Examples are provided throughout to guide the reader. Accuracy in choosing and applying statistical distributions is particularly imperative for anyone who does statistical and probability analysis, including management scientists, market researchers, engineers, mathematicians, physicists, chemists, economists, social science researchers, and students in many disciplines.
Entropy Based Parameter Estimation In Hydrology
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Author : Vijay Singh
language : en
Publisher: Springer Science & Business Media
Release Date : 1998-10-31
Entropy Based Parameter Estimation In Hydrology written by Vijay Singh 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 1998-10-31 with Science categories.
Since the pioneering work of Shannon in the late 1940's on the development of the theory of entropy and the landmark contributions of Jaynes a decade later leading to the development of the principle of maximum entropy (POME), the concept of entropy has been increasingly applied in a wide spectrum of areas, including chemistry, electronics and communications engineering, data acquisition and storage and retreival, data monitoring network design, ecology, economics, environmental engineering, earth sciences, fluid mechanics, genetics, geology, geomorphology, geophysics, geotechnical engineering, hydraulics, hydrology, image processing, management sciences, operations research, pattern recognition and identification, photogrammetry, psychology, physics and quantum mechanics, reliability analysis, reservoir engineering, statistical mechanics, thermodynamics, topology, transportation engineering, turbulence modeling, and so on. New areas finding application of entropy have since continued to unfold. The entropy concept is indeed versatile and its applicability widespread. In the area of hydrology and water resources, a range of applications of entropy have been reported during the past three decades or so. This book focuses on parameter estimation using entropy for a number of distributions frequently used in hydrology. In the entropy-based parameter estimation the distribution parameters are expressed in terms of the given information, called constraints. Thus, the method lends itself to a physical interpretation of the parameters. Because the information to be specified usually constitutes sufficient statistics for the distribution under consideration, the entropy method provides a quantitative way to express the information contained in the distribution.
The Lognormal Distribution
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Author :
language : en
Publisher: CUP Archive
Release Date :
The Lognormal Distribution written by and has been published by CUP Archive this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Handbook Of Statistical Distributions With Applications
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Author : K. Krishnamoorthy
language : en
Publisher: CRC Press
Release Date : 2016-01-05
Handbook Of Statistical Distributions With Applications written by K. Krishnamoorthy and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-01-05 with Mathematics categories.
Easy-to-Use Reference and Software for Statistical Modeling and TestingHandbook of Statistical Distributions with Applications, Second Edition provides quick access to common and specialized probability distributions for modeling practical problems and performing statistical calculations. Along with many new examples and results, this edition inclu
Income And Wealth Distribution Inequality And Poverty
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Author : Camilo Dagum
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Income And Wealth Distribution Inequality And Poverty written by Camilo Dagum 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 2012-12-06 with Business & Economics categories.
This book deals with the following issues: the analysis, estimation and assessment of alternatived models of income distribution, the specification and evaluation of income inequality measures the analysis and measurement of poverty and its rationale, the scope and methodological power of the social accounting matrix (SAM) in the analysis of the functional and personal distribution of income and the family income multiplier, the study of the source and reliability of income distribution data, the decomposition of income inequality measures, the asymptotic distributions and inferential analysis of income inequalities, and an inquiry on the income distribution and income inequality of Eastern European Countries under socialism. New models on income and wealth distribution are specified and their corresponding properties and goodness of fit are discussed. A multivariate approach to the measurement of poverty is developed and applied, and a compact survey of the literature is presented. The book can be used as a text in advanced undergraduate and graduate courses dealing with the theory, model specifications, methods and applications of income and wealth distribution, income inequality and poverty assessment in measurement and the use of SAMs in the analysis of income distribution.
Lognormal Distributions
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Author : Crow
language : en
Publisher: Routledge
Release Date : 2018-05-02
Lognormal Distributions written by Crow and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-02 with Mathematics categories.
Presenting the first comprehensive review of the subject's theory and applications inmore than 15 years, this outstanding reference encompasses the most-up-to-date advancesin lognormal distributions in thorough, detailed contributions by specialists in statistics,business and economics , industry, biology , ecology, geology, and meteorology.Lognormal Distributions describes the theory and methods of point and intervalestimation as well as the testing of hypotheses clearly and precisely from a modemviewpoint-not only for the basic two-parameter lognormal distribution but also for itsgeneralizations, including three parameters, truncated distributions, delta-lognormaldistributions, and two or more dimensions.Featuring over 600 references plus author and subject indexes, this volume rev iews thesubject's history .. . gives explicit formulas for minimum variance unbiased estimates ofparameters and their variances ... provides optimal tests of hypotheses and confidenceinterval procedures for various functions of the parameters in the two-parameter model. .. and discusses practical methods of analysis for truncated, censored, or groupedsamples.
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.
The Lognormal Distribution
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Author : J. Aitchison
language : en
Publisher:
Release Date : 1995
The Lognormal Distribution written by J. Aitchison and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with categories.
Multivariate Normal Distribution The Theory And Applications
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Author : Thu Pham-gia
language : en
Publisher: World Scientific
Release Date : 2021-05-05
Multivariate Normal Distribution The Theory And Applications written by Thu Pham-gia and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-05-05 with Business & Economics categories.
This book provides the reader with user-friendly applications of normal distribution. In several variables it is called the multinormal distribution which is often handled using matrices for convenience. The author seeks to make the arguments less abstract and hence, starts with the univariate case and moves progressively toward the vector and matrix cases. The approach used in the book is a gradual one, going from one scalar variable to a vector variable and to a matrix variable. The author presents the unified aspect of normal distribution, as well as addresses several other issues, including random matrix theory in physics. Other well-known applications, such as Herrnstein and Murray's argument that human intelligence is substantially influenced by both inherited and environmental factors, will be discussed in this book. It is a better predictor of many personal dynamics — including financial income, job performance, birth out of wedlock, and involvement in crime — than are an individual's parental socioeconomic status, or education level, and deserve to be mentioned and discussed.