The Birnbaum Saunders Distribution

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The Birnbaum-Saunders Distribution

Victor Leiva
The Birnbaum Saunders Distribution Book PDF

Author : Victor Leiva
Publisher : Academic Press
Page : 154 pages
File Size : 44,8 Mb
Release : 2015-10-26
Category : Mathematics
ISBN : 9780128038277

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The Birnbaum-Saunders Distribution by Victor Leiva Pdf

The Birnbaum-Saunders Distribution presents the statistical theory, methodology, and applications of the Birnbaum-Saunders distribution, a very flexible distribution for modeling different types of data (mainly lifetime data). The book describes the most recent theoretical developments of this model, including properties, transformations and related distributions, lifetime analysis, and shape analysis. It discusses methods of inference based on uncensored and censored data, goodness-of-fit tests, and random number generation algorithms for the Birnbaum-Saunders distribution, also presenting existing and future applications. Introduces inference in the Birnbaum-Saunders distribution Provides a comprehensive review of the statistical theory and methodology of the Birnbaum-Distribution Discusses different applications of the Birnbaum-Saunders distribution Explains characterization and the lifetime analysis

The Birnbaum-Saunders Distribution

Victor Leiva
The Birnbaum Saunders Distribution Book PDF

Author : Victor Leiva
Publisher : Academic Press
Page : 0 pages
File Size : 48,9 Mb
Release : 2015-10-22
Category : Mathematics
ISBN : 0128037695

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The Birnbaum-Saunders Distribution by Victor Leiva Pdf

The Birnbaum-Saunders Distribution presents the statistical theory, methodology, and applications of the Birnbaum-Saunders distribution, a very flexible distribution for modeling different types of data (mainly lifetime data). The book describes the most recent theoretical developments of this model, including properties, transformations and related distributions, lifetime analysis, and shape analysis. It discusses methods of inference based on uncensored and censored data, goodness-of-fit tests, and random number generation algorithms for the Birnbaum-Saunders distribution, also presenting existing and future applications.

Birnbaum Saunders distribution for imprecise data: statistical properties, estimation methods, and real life applications

Marwa K. Hassan,Muhammad Aslam
Birnbaum Saunders distribution for imprecise data statistical properties estimation methods and real life applications Book PDF

Author : Marwa K. Hassan,Muhammad Aslam
Publisher : Infinite Study
Page : 16 pages
File Size : 40,7 Mb
Release : 2024-01-01
Category : Mathematics
ISBN : 8210379456XXX

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Birnbaum Saunders distribution for imprecise data: statistical properties, estimation methods, and real life applications by Marwa K. Hassan,Muhammad Aslam Pdf

A neutrosophic statistic is a random variable and it has a neutrosophic probability distribution. So, in this paper, we introduce the new neutrosophic Birnbaum–Saunders distribution. Some statistical properties are derived, using Mathematica 13.1.1 and R-Studio Software. Two different estimation methods for parameters estimation are introduced for new distribution: maximum likelihood estimation method and Bayesian estimation method. A Monte-Carlo simulation study is used to investigate the behavior of parameters estimates of new distribution, compare the performance of different estimates, and compare between our distribution and the classical version of Birnbaum-Saunders. Finally, study the validity of our new distribution in real life.

Testing and Inspection Using Acceptance Sampling Plans

Muhammad Aslam,Mir Masoom Ali
Testing and Inspection Using Acceptance Sampling Plans Book PDF

Author : Muhammad Aslam,Mir Masoom Ali
Publisher : Springer
Page : 288 pages
File Size : 50,6 Mb
Release : 2019-07-19
Category : Mathematics
ISBN : 9789811393068

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Testing and Inspection Using Acceptance Sampling Plans by Muhammad Aslam,Mir Masoom Ali Pdf

This book introduces a number of new sampling plans, such as time truncated life tests, skip sampling plans, resubmitted plans, mixed sampling plans, sampling plans based on the process capability index and plans for big data, which can be used for testing and inspecting products, from the raw-materials stage to the final product, in every industry using statistical process control techniques. It also presents the statistical theory, methodology and applications of acceptance sampling from truncated life tests. Further, it discusses the latest reliability, quality and risk analysis methods based on acceptance sampling from truncated life, which engineering and statisticians require in order to make decisions, and which are also useful for researchers in the areas of quality control, lifetime analysis, censored data analysis, goodness-of-fit and statistical software applications. In its nine chapters, the book addresses a wide range of testing/inspection sampling schemes for discrete and continuous data collected in various production processes. It includes a chapter on sampling plans for big data and offers several illustrative examples of the procedures presented. Requiring a basic knowledge of probability distributions, inference and estimation, and lifetime and quality analysis, it is a valuable resource for graduate and senior undergraduate engineering students, and practicing engineers, more specifically it is useful for quality engineers, reliability engineers, consultants, black belts, master black belts, students and researchers interested in applying reliability and risk and quality methods.

Forest Decline and Atmospheric Deposition Effects in the French Mountains

M. Kaennel,Guy Landmann,Maurice Bonneau
Forest Decline and Atmospheric Deposition Effects in the French Mountains Book PDF

Author : M. Kaennel,Guy Landmann,Maurice Bonneau
Publisher : Springer Science & Business Media
Page : 474 pages
File Size : 51,8 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642795350

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Forest Decline and Atmospheric Deposition Effects in the French Mountains by M. Kaennel,Guy Landmann,Maurice Bonneau Pdf

Forest decline became a matter of public and scientific concern in France in 1983 when conifers in the Vosges mountains were found to exhibit unusual crown deterioration. An impassioned controversy on a supposedly large scale forest health problem was then in full swing in Central Europe. A co-ordinated research programme entitled DEFORPA ("Deperissement des For~ts et Pollution AtmospMrique") was launched in 1984. This programme ran from 1984 to 1991 and a number of projects are still in progress. The Programme was sponsored by three French ministries (Enviroument, Agriculture and Forestry, Research and Technologyl), several state agencies, various regional authorities and the Commission of the European Communities (DO xn and DG VI). Initially, emphasis was solely laid on the understanding of forest decline in the mountainous areas - because damage was most obvious there - in relation to natural and man-made factors. Air pollution was given high but not overwhelming priority. Thus, the DEFORPA Programme was not in its essence a nation-wide assessment of air pollution effects, unlike a number of national acidification research programmes in Europe and North America. During. the programme, however, the areas of concern expanded. In particular, research into water acidification in the Vosges mountains was developed in parallel with the DEFORPA Programme, and possible eutrophication of the ground flora in northeastern France became the subject of new research.

Symmetric and Asymmetric Distributions

Emilio Gómez Déniz
Symmetric and Asymmetric Distributions Book PDF

Author : Emilio Gómez Déniz
Publisher : MDPI
Page : 146 pages
File Size : 42,9 Mb
Release : 2021-01-21
Category : Social Science
ISBN : 9783039366460

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Symmetric and Asymmetric Distributions by Emilio Gómez Déniz Pdf

In recent years, the advances and abilities of computer software have substantially increased the number of scientific publications that seek to introduce new probabilistic modelling frameworks, including continuous and discrete approaches, and univariate and multivariate models. Many of these theoretical and applied statistical works are related to distributions that try to break the symmetry of the normal distribution and other similar symmetric models, mainly using Azzalini's scheme. This strategy uses a symmetric distribution as a baseline case, then an extra parameter is added to the parent model to control the skewness of the new family of probability distributions. The most widespread and popular model is the one based on the normal distribution that produces the skewed normal distribution. In this Special Issue on symmetric and asymmetric distributions, works related to this topic are presented, as well as theoretical and applied proposals that have connections with and implications for this topic. Immediate applications of this line of work include different scenarios such as economics, environmental sciences, biometrics, engineering, health, etc. This Special Issue comprises nine works that follow this methodology derived using a simple process while retaining the rigor that the subject deserves. Readers of this Issue will surely find future lines of work that will enable them to achieve fruitful research results.

First Hitting Time Regression Models

Chrysseis Caroni
First Hitting Time Regression Models Book PDF

Author : Chrysseis Caroni
Publisher : John Wiley & Sons
Page : 200 pages
File Size : 44,7 Mb
Release : 2017-07-17
Category : Mathematics
ISBN : 9781119437222

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First Hitting Time Regression Models by Chrysseis Caroni Pdf

This book aims to promote regression methods for analyzing lifetime (or time-to-event) data that are based on a representation of the underlying process, and are therefore likely to offer greater scientific insight compared to purely empirical methods. In contrast to the rich statistical literature, the regression methods actually employed in lifetime data analysis are limited, particularly in the biomedical field where D. R. Cox’s famous semi-parametric proportional hazards model predominates. Practitioners should become familiar with more flexible models. The first hitting time regression models (or threshold regression) presented here represent observed events as the outcome of an underlying stochastic process. One example is death occurring when the patient’s health status falls to zero, but the idea has wide applicability – in biology, engineering, banking and finance, and elsewhere. The central topic is the model based on an underlying Wiener process, leading to lifetimes following the inverse Gaussian distribution. Introducing time-varying covariates and many other extensions are considered. Various applications are presented in detail.

Progressive Censoring

N. Balakrishnan,Rita Aggarwala
Progressive Censoring Book PDF

Author : N. Balakrishnan,Rita Aggarwala
Publisher : Springer Science & Business Media
Page : 255 pages
File Size : 54,7 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461213345

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Progressive Censoring by N. Balakrishnan,Rita Aggarwala Pdf

This new book offers a guide to the theory and methods of progressive censoring. In many industrial experiments involving lifetimes of machines or units, experiments have to be terminated early. Progressive Censoring first introduces progressive sampling foundations, and then discusses various properties of progressive samples. The book points out the greater efficiency gained by using this scheme instead of classical right-censoring methods.

Statistical Methods for Reliability Data

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

Author : William Q. Meeker,Luis A. Escobar,Francis G. Pascual
Publisher : John Wiley & Sons
Page : 708 pages
File Size : 41,5 Mb
Release : 2022-01-24
Category : Technology & Engineering
ISBN : 9781118594483

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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.

Financial Statistics and Data Analytics

Shuangzhe Li,Milind Sathye
Financial Statistics and Data Analytics Book PDF

Author : Shuangzhe Li,Milind Sathye
Publisher : MDPI
Page : 232 pages
File Size : 48,6 Mb
Release : 2021-03-02
Category : Business & Economics
ISBN : 9783039439751

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Financial Statistics and Data Analytics by Shuangzhe Li,Milind Sathye Pdf

Modern financial management is largely about risk management, which is increasingly data-driven. The problem is how to extract information from the data overload. It is here that advanced statistical and machine learning techniques can help. Accordingly, finance, statistics, and data analytics go hand in hand. The purpose of this book is to bring the state-of-art research in these three areas to the fore and especially research that juxtaposes these three.

Probability Distributions Used in Reliability Engineering

Andrew N O'Connor
Probability Distributions Used in Reliability Engineering Book PDF

Author : Andrew N O'Connor
Publisher : RIAC
Page : 220 pages
File Size : 42,5 Mb
Release : 2011
Category : Mathematics
ISBN : 9781933904061

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Probability Distributions Used in Reliability Engineering by Andrew N O'Connor Pdf

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.

Computational and Methodological Statistics and Biostatistics

Andriëtte Bekker,(Din) Ding-Geng Chen,Johannes T. Ferreira
Computational and Methodological Statistics and Biostatistics Book PDF

Author : Andriëtte Bekker,(Din) Ding-Geng Chen,Johannes T. Ferreira
Publisher : Springer Nature
Page : 543 pages
File Size : 50,6 Mb
Release : 2020-08-10
Category : Medical
ISBN : 9783030421960

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Computational and Methodological Statistics and Biostatistics by Andriëtte Bekker,(Din) Ding-Geng Chen,Johannes T. Ferreira Pdf

In the statistical domain, certain topics have received considerable attention during the last decade or so, necessitated by the growth and evolution of data and theoretical challenges. This growth has invariably been accompanied by computational advancement, which has presented end users as well as researchers with the necessary opportunities to handle data and implement modelling solutions for statistical purposes. Showcasing the interplay among a variety of disciplines, this book offers pioneering theoretical and applied solutions to practice-oriented problems. As a carefully curated collection of prominent international thought leaders, it fosters collaboration between statisticians and biostatisticians and provides an array of thought processes and tools to its readers. The book thereby creates an understanding and appreciation of recent developments as well as an implementation of these contributions within the broader framework of both academia and industry. Computational and Methodological Statistics and Biostatistics is composed of three main themes: • Recent developments in theory and applications of statistical distributions;• Recent developments in supervised and unsupervised modelling;• Recent developments in biostatistics; and also features programming code and accompanying algorithms to enable readers to replicate and implement methodologies. Therefore, this monograph provides a concise point of reference for a variety of current trends and topics within the statistical domain. With interdisciplinary appeal, it will be useful to researchers, graduate students, and practitioners in statistics, biostatistics, clinical methodology, geology, data science, and actuarial science, amongst others.

The Inverse Gaussian Distribution

V. Seshadri
The Inverse Gaussian Distribution Book PDF

Author : V. Seshadri
Publisher : Springer Science & Business Media
Page : 363 pages
File Size : 47,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461214564

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The Inverse Gaussian Distribution by V. Seshadri Pdf

This book is written in the hope that it will serve as a companion volume to my first monograph. The first monograph was largely devoted to the probabilistic aspects of the inverse Gaussian law and therefore ignored the statistical issues and related data analyses. Ever since the appearance of the book by Chhikara and Folks, a considerable number of publications in both theory and applications of the inverse Gaussian law have emerged thereby justifying the need for a comprehensive treatment of the issues involved. This book is divided into two sections and fills up the gap updating the material found in the book of Chhikara and Folks. Part I contains seven chapters and covers distribution theory, estimation, significance tests, goodness-of-fit, sequential analysis and compound laws and mixtures. The first part forms the backbone of the theory and wherever possible I have provided illustrative examples for easy assimilation of the theory. The second part is devoted to a wide range of applications from various disciplines. The applied statistician will find numerous instances of examples which pertain to a first passage time situation. It is indeed remarkable that in the fields of life testing, ecology, entomology, health sciences, traffic intensity and management science the inverse Gaussian law plays a dominant role. Real life examples from actuarial science and ecology came to my attention after this project was completed and I found it impossible to include them.

System Reliability Theory

Arnljot Høyland,Marvin Rausand
System Reliability Theory Book PDF

Author : Arnljot Høyland,Marvin Rausand
Publisher : John Wiley & Sons
Page : 536 pages
File Size : 47,5 Mb
Release : 2009-09-25
Category : Technology & Engineering
ISBN : 9780470317747

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System Reliability Theory by Arnljot Høyland,Marvin Rausand Pdf

A comprehensive introduction to reliability analysis. The first section provides a thorough but elementary prologue to reliability theory. The latter half comprises more advanced analytical tools including Markov processes, renewal theory, life data analysis, accelerated life testing and Bayesian reliability analysis. Features numerous worked examples. Each chapter concludes with a selection of problems plus additional material on applications.

Nonparametric Functional Estimation

B. L. S. Prakasa Rao
Nonparametric Functional Estimation Book PDF

Author : B. L. S. Prakasa Rao
Publisher : Academic Press
Page : 539 pages
File Size : 44,6 Mb
Release : 2014-07-10
Category : Mathematics
ISBN : 9781483269238

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Nonparametric Functional Estimation by B. L. S. Prakasa Rao Pdf

Nonparametric Functional Estimation is a compendium of papers, written by experts, in the area of nonparametric functional estimation. This book attempts to be exhaustive in nature and is written both for specialists in the area as well as for students of statistics taking courses at the postgraduate level. The main emphasis throughout the book is on the discussion of several methods of estimation and on the study of their large sample properties. Chapters are devoted to topics on estimation of density and related functions, the application of density estimation to classification problems, and the different facets of estimation of distribution functions. Statisticians and students of statistics and engineering will find the text very useful.