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Statistical Intervals

Statistical Intervals PDF Author: Gerald J. Hahn
Publisher: John Wiley & Sons
ISBN: 0470317442
Category : Mathematics
Languages : en
Pages : 416
Book Description
Presents a detailed exposition of statistical intervals and emphasizes applications in industry. The discussion differentiates at an elementary level among different kinds of statistical intervals and gives instruction with numerous examples and simple math on how to construct such intervals from sample data. This includes confidence intervals to contain a population percentile, confidence intervals on probability of meeting specified threshold value, and prediction intervals to include observation in a future sample. Also has an appendix containing computer subroutines for nonparametric statistical intervals.

Statistical Intervals

Statistical Intervals PDF Author: Gerald J. Hahn
Publisher: John Wiley & Sons
ISBN: 0470317442
Category : Mathematics
Languages : en
Pages : 416
Book Description
Presents a detailed exposition of statistical intervals and emphasizes applications in industry. The discussion differentiates at an elementary level among different kinds of statistical intervals and gives instruction with numerous examples and simple math on how to construct such intervals from sample data. This includes confidence intervals to contain a population percentile, confidence intervals on probability of meeting specified threshold value, and prediction intervals to include observation in a future sample. Also has an appendix containing computer subroutines for nonparametric statistical intervals.

Statistical Intervals

Statistical Intervals PDF Author: William Q. Meeker
Publisher: John Wiley & Sons
ISBN: 1118594959
Category : Mathematics
Languages : en
Pages : 648
Book Description
Describes statistical intervals to quantify sampling uncertainty,focusing on key application needs and recently developed methodology in an easy-to-apply format Statistical intervals provide invaluable tools for quantifying sampling uncertainty. The widely hailed first edition, published in 1991, described the use and construction of the most important statistical intervals. Particular emphasis was given to intervals—such as prediction intervals, tolerance intervals and confidence intervals on distribution quantiles—frequently needed in practice, but often neglected in introductory courses. Vastly improved computer capabilities over the past 25 years have resulted in an explosion of the tools readily available to analysts. This second edition—more than double the size of the first—adds these new methods in an easy-to-apply format. In addition to extensive updating of the original chapters, the second edition includes new chapters on: Likelihood-based statistical intervals Nonparametric bootstrap intervals Parametric bootstrap and other simulation-based intervals An introduction to Bayesian intervals Bayesian intervals for the popular binomial, Poisson and normal distributions Statistical intervals for Bayesian hierarchical models Advanced case studies, further illustrating the use of the newly described methods New technical appendices provide justification of the methods and pathways to extensions and further applications. A webpage directs readers to current readily accessible computer software and other useful information. Statistical Intervals: A Guide for Practitioners and Researchers, Second Edition is an up-to-date working guide and reference for all who analyze data, allowing them to quantify the uncertainty in their results using statistical intervals.

Statistical Applications for Environmental Analysis and Risk Assessment

Statistical Applications for Environmental Analysis and Risk Assessment PDF Author: Joseph Ofungwu
Publisher: John Wiley & Sons
ISBN: 1118634519
Category : Social Science
Languages : en
Pages : 648
Book Description
Statistical Applications for Environmental Analysis and RiskAssessment guides readers through real-world situations and thebest statistical methods used to determine the nature and extent ofthe problem, evaluate the potential human health and ecologicalrisks, and design and implement remedial systems as necessary.Featuring numerous worked examples using actual data and“ready-made” software scripts, StatisticalApplications for Environmental Analysis and Risk Assessmentalso includes: • Descriptions of basic statistical concepts andprinciples in an informal style that does not presume priorfamiliarity with the subject • Detailed illustrations of statistical applications inthe environmental and related water resources fields usingreal-world data in the contexts that would typically be encounteredby practitioners • Software scripts using the high-powered statisticalsoftware system, R, and supplemented by USEPA’s ProUCL andUSDOE’s VSP software packages, which are all freelyavailable • Coverage of frequent data sample issues such asnon-detects, outliers, skewness, sustained and cyclical trend thathabitually plague environmental data samples • Clear demonstrations of the crucial, but oftenoverlooked, role of statistics in environmental sampling design andsubsequent exposure risk assessment.

Statistical Intervals

Statistical Intervals PDF Author: William Q. Meeker
Publisher: John Wiley & Sons
ISBN: 0471687170
Category : MATHEMATICS
Languages : en
Pages : 648
Book Description
Describes statistical intervals to quantify sampling uncertainty,focusing on key application needs and recently developed methodology in an easy-to-apply format Statistical intervals provide invaluable tools for quantifying sampling uncertainty. The widely hailed first edition, published in 1991, described the use and construction of the most important statistical intervals. Particular emphasis was given to intervals—such as prediction intervals, tolerance intervals and confidence intervals on distribution quantiles—frequently needed in practice, but often neglected in introductory courses. Vastly improved computer capabilities over the past 25 years have resulted in an explosion of the tools readily available to analysts. This second edition—more than double the size of the first—adds these new methods in an easy-to-apply format. In addition to extensive updating of the original chapters, the second edition includes new chapters on: Likelihood-based statistical intervals Nonparametric bootstrap intervals Parametric bootstrap and other simulation-based intervals An introduction to Bayesian intervals Bayesian intervals for the popular binomial, Poisson and normal distributions Statistical intervals for Bayesian hierarchical models Advanced case studies, further illustrating the use of the newly described methods New technical appendices provide justification of the methods and pathways to extensions and further applications. A webpage directs readers to current readily accessible computer software and other useful information. Statistical Intervals: A Guide for Practitioners and Researchers, Second Edition is an up-to-date working guide and reference for all who analyze data, allowing them to quantify the uncertainty in their results using statistical intervals.

Computing Statistics under Interval and Fuzzy Uncertainty

Computing Statistics under Interval and Fuzzy Uncertainty PDF Author: Hung T. Nguyen
Publisher: Springer Science & Business Media
ISBN: 3642249043
Category : Mathematics
Languages : en
Pages : 432
Book Description
In many practical situations, we are interested in statistics characterizing a population of objects: e.g. in the mean height of people from a certain area. Most algorithms for estimating such statistics assume that the sample values are exact. In practice, sample values come from measurements, and measurements are never absolutely accurate. Sometimes, we know the exact probability distribution of the measurement inaccuracy, but often, we only know the upper bound on this inaccuracy. In this case, we have interval uncertainty: e.g. if the measured value is 1.0, and inaccuracy is bounded by 0.1, then the actual (unknown) value of the quantity can be anywhere between 1.0 - 0.1 = 0.9 and 1.0 + 0.1 = 1.1. In other cases, the values are expert estimates, and we only have fuzzy information about the estimation inaccuracy. This book shows how to compute statistics under such interval and fuzzy uncertainty. The resulting methods are applied to computer science (optimal scheduling of different processors), to information technology (maintaining privacy), to computer engineering (design of computer chips), and to data processing in geosciences, radar imaging, and structural mechanics.

The Statistical Analysis of Interval-censored Failure Time Data

The Statistical Analysis of Interval-censored Failure Time Data PDF Author: Jianguo Sun
Publisher: Springer
ISBN: 0387371192
Category : Mathematics
Languages : en
Pages : 304
Book Description
This book collects and unifies statistical models and methods that have been proposed for analyzing interval-censored failure time data. It provides the first comprehensive coverage of the topic of interval-censored data and complements the books on right-censored data. The focus of the book is on nonparametric and semiparametric inferences, but it also describes parametric and imputation approaches. This book provides an up-to-date reference for people who are conducting research on the analysis of interval-censored failure time data as well as for those who need to analyze interval-censored data to answer substantive questions.

Monitoring the Variability in the Process Using Neutrosophic Statistical Interval Method

Monitoring the Variability in the Process Using Neutrosophic Statistical Interval Method PDF Author: Muhammad Aslam
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 10
Book Description
Existing variance control charts are designed under the assumptions that no uncertain, fuzzy and imprecise observations or parameters are in the population or the sample. Neutrosophic statistics, which is the extension of classical statistics, has been widely used when there is uncertainty in the data.

Statistical Analysis of Magnetic Profiles and Geomagnetic Reversal Sequences

Statistical Analysis of Magnetic Profiles and Geomagnetic Reversal Sequences PDF Author: Jeffrey D. Phillips
Publisher:
ISBN:
Category : Geomagnetic reversals
Languages : en
Pages : 268
Book Description


National Vital Statistics Reports

National Vital Statistics Reports PDF Author:
Publisher:
ISBN:
Category : United States
Languages : en
Pages :
Book Description


Exact Confidence Bounds when Sampling from Small Finite Universes

Exact Confidence Bounds when Sampling from Small Finite Universes PDF Author: Tommy Wright
Publisher: Springer Science & Business Media
ISBN: 146123140X
Category : Mathematics
Languages : en
Pages : 431
Book Description
There is a very simple and fundamental concept· to much of probability and statistics that can be conveyed using the following problem. PROBLEM. Assume a finite set (universe) of N units where A of the units have a particular attribute. The value of N is known while the value of A is unknown. If a proper subset (sample) of size n is selected randomly and a of the units in the subset are observed to have the particular attribute, what can be said about the unknown value of A? The problem is not new and almost anyone can describe several situations where a particular problem could be presented in this setting. Some recent references with different focuses include Cochran (1977); Williams (1978); Hajek (1981); Stuart (1984); Cassel, Samdal, and Wretman (1977); and Johnson and Kotz (1977). We focus on confidence interval estimation of A. Several methods for exact confidence interval estimation of A exist (Buonaccorsi, 1987, and Peskun, 1990), and this volume presents the theory and an extensive Table for one of them. One of the important contributions in Neyman (1934) is a discussion of the meaning of confidence interval estimation and its relationship with hypothesis testing which we will call the Neyman Approach. In Chapter 3 and following Neyman's Approach for simple random sampling (without replacement), we present an elementary development of exact confidence interval estimation of A as a response to the specific problem cited above.