Interval Estimation Of Process Capability Indices Under Non Normal Distribution With An Application To Service Industries
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Interval Estimation Of Process Capability Indices Under Non Normal Distribution With An Application To Service Industries
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Author : 郭姿君
language : en
Publisher:
Release Date : 2010
Interval Estimation Of Process Capability Indices Under Non Normal Distribution With An Application To Service Industries written by 郭姿君 and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with categories.
Process Capability Indices
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Author : Samuel Kotz
language : en
Publisher: Routledge
Release Date : 2017-10-19
Process Capability Indices written by Samuel Kotz and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-10-19 with Business & Economics categories.
A solid, rigorous, yet comprehensible analysis of process capability indices, this work bridges the gap between theoretical statisticians and quality control practitioners, showing how an understanding of these indices can lead to process improvement.
Handbook Of Multivariate Process Capability Indices
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Author : Ashis Kumar Chakraborty
language : en
Publisher: CRC Press
Release Date : 2021-01-06
Handbook Of Multivariate Process Capability Indices written by Ashis Kumar Chakraborty and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-01-06 with Business & Economics categories.
Providing a single-valued assessment of the performance of a process is often one of the greatest challenges for a quality professional. Process Capability Indices (PCIs) precisely do this job. For processes having a single measurable quality characteristic, there is an ample number of PCIs, defined in literature. The situation worsens for multivariate processes, i.e., where there is more than one correlated quality characteristic. Since in most situations quality professionals face multiple quality characteristics to be controlled through a process, Multivariate Process Capability Indices (MPCIs) become the order of the day. However, there is no book which addresses and explains different MPCIs and their properties. The literature of Multivariate Process Capability Indices (MPCIs) is not well organized, in the sense that a thorough and systematic discussion on the various MPCIs is hardly available in the literature. Handbook of Multivariate Process Capability Indices provides an extensive study of the MPCIs defined for various types of specification regions. This book is intended to help quality professionals to understand which MPCI should be used and in what situation. For researchers in this field, the book provides a thorough discussion about each of the MPCIs developed to date, along with their statistical and analytical properties. Also, real life examples are provided for almost all the MPCIs discussed in the book. This helps both the researchers and the quality professionals alike to have a better understanding of the MPCIs, which otherwise become difficult to understand, since there is more than one quality characteristic to be controlled at a time. Features: A complete guide for quality professionals on the usage of different MPCIs. A step by step discussion on multivariate process capability analysis, starting from a brief discussion on univariate indices. A single source for all kinds of MPCIs developed so far. Comprehensive analysis of the MPCIs, including analysis of real-life data. References provided at the end of each chapter encompass the entire literature available on the respective topic. Interpretation of the MPCIs and development of threshold values of many MPCIs are also included. This reference book is aimed at the post graduate students in Industrial Statistics. It will also serve researchers working in the field of Industrial Statistics, as well as practitioners requiring thorough guidance regarding selection of an appropriate MPCI suitable for the problem at hand.
Estimation Of A Modified Capability Index For Non Normal Distributions
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Author : W. L. Pearn
language : en
Publisher:
Release Date : 2016
Estimation Of A Modified Capability Index For Non Normal Distributions written by W. L. Pearn and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016 with Curve fitting categories.
Process capability indices (PCIs), which are very important in quality control have been one of a numerical measure index in manufacturing processes. Index Cpk is the most popular one used in the manufacturing industry. It is applied under the assumption that the processes are normally distributed. In real-world applications, non-normal processes may occur in industries, and the index CNpk has been proposed for non-normal processes in which its exact sampling distribution is mathematically intractable. Quality practitioners commonly use the existing NCPPM (non-conformities in parts per million) table of Cpk to obtain process yields. However, the table could not be applied directly via the value of index CNpk. For the consistency of NCPPM mapping, we propose procedures to obtain the modified index C*Npk and its approximately unbiased estimator C?*Npk for three non-normal distributions, involving Log-normal, Gamma, and Weibull distributions. The values of modified index C*Npk could be used to inquire the existing popular NCPPM table of Cpk. In addition, four bootstrap methods were used to construct the lower confidence bounds of the index C*Npk, which are useful to the practitioners for making reliable decisions regarding process performance based on process yield.
Process Capability Analysis
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Author : Neil W. Polhemus
language : en
Publisher: CRC Press
Release Date : 2017-11-22
Process Capability Analysis written by Neil W. Polhemus and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-22 with Business & Economics categories.
Process Capability Analysis: Estimating Quality presents a systematic exploration of process capability analysis and how it may be used to estimate quality. The book is designed for practitioners who are tasked with insuring a high level of quality for the products and services offered by their organizations. Along with describing the necessary statistical theory, the book illustrates the practical application of the techniques to data that do not always satisfy the standard assumptions. The first two chapters deal with attribute data, where the estimation of quality is restricted to counts of nonconformities. Both classical and Bayesian methods are discussed. The rest of the book deals with variable data, including extensive discussions of both capability indices and statistical tolerance limits. Considerable emphasis is placed on methods for handling non-normal data. Also included are discussions of topics often omitted in discussions of process capability, including multivariate capability indices, multivariate tolerance limits, and capability control charts. A separate chapter deals with the problem of determining adequate sample sizes for estimating process capability. Features: Comprehensive treatment of the subject with consistent theme of estimating percent of nonconforming product or service. Includes Bayesian methods. Extension of univariate techniques to multivariate data. Demonstration of all techniques using Statgraphics data analysis software. Neil Polhemus is Chief Technology Officer at Statgraphics Technology and the original developer of the Statgraphics program for statistical analysis and data visualization. Dr. Polhemus spent 6 years on the faculty of the School of Engineering and Applied Science at Princeton University before moving full-time to software development and consulting. He has taught courses dealing with statistical process control, design of experiments and data analysis for more than 100 companies and government agencies.
Approximately Unbiased Estimator For Non Normal Process Capability Index Cnpk
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Author : W. L. Pearn
language : en
Publisher:
Release Date : 2014
Approximately Unbiased Estimator For Non Normal Process Capability Index Cnpk written by W. L. Pearn and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014 with Bootstrap categories.
Process capability indices (PCIs) have been extensively used to evaluate and measure whether the process meets the specifications and they provide quality assurance and guide a principal for quality improvement. The index Cpk is the most popular index and is widely used in the manufacturing industry for manufacturing yield evaluation. However, typical evaluations of Cpk depend heavily on the assumption of normal variability. When the underlying distributions are non-normal, the capability evaluations are highly unreliable. In the paper, we apply four various bootstrap methods to construct lower confidence bounds of CNpk for non-normal processes. We also propose an approximately unbiased estimator of CNpk for the non-normal processes. Comparisons among the four bootstrap methods with different estimators are provided.
Multivariate Process Capability Assessment For Non Normal Quality Data
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Author : Shafiq Ahmad
language : en
Publisher: LAP Lambert Academic Publishing
Release Date : 2012-07
Multivariate Process Capability Assessment For Non Normal Quality Data written by Shafiq Ahmad and has been published by LAP Lambert Academic Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-07 with categories.
Determination of the performance capability of a stable process using the standard process capability indices such as and requires that the underlying data follow a normal distribution. However it is an undisputed fact that real processes very often produce non-normal quality characteristics data and also these quality characteristics are very often correlated with each other. For such non-normal and correlated multivariate quality characteristics, application of standard capability measures using conventional methods can lead to erroneous results. This research study presents several capability assessment methods to estimate more precisely and accurately process performances based on univariate as well as multivariate quality characteristics. The proposed capability assessment methods also take into account the correlation, variance and covariance as well as non-normality issues of the quality characteristics data.
Estimating Process Capability Indices For Non Normal Process Distributions
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Author : Peter Binh Thai Dinh
language : en
Publisher:
Release Date : 1998
Estimating Process Capability Indices For Non Normal Process Distributions written by Peter Binh Thai Dinh and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Process control categories.
Measures process capabilities for non-normal distributions using various statistical concepts, addresses the validity of the normality assumption, and focuses on the area of unilateral tolerance and dimensioning.
Process Capability Evaluation For Square Bumps With Mean Shift
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Author : W. L. Pearn
language : en
Publisher:
Release Date : 2011
Process Capability Evaluation For Square Bumps With Mean Shift written by W. L. Pearn and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Chi-square test categories.
Process capability indices have been widely used in manufacturing industries to provide numerical measures of process potential and performance. In in-plant applications, some inevitable process mean shift may be undetected when the statistical process control charts are applied, particularly, in the bumping process for square bumps. Bothe in 2002 provided a statistical reason for considering such a shift in the process mean to accommodate the undetected mean shifts for normally distributed processes when evaluating process capability. In this paper, we consider a bumping process for square bumps in which the data can be formulated as a non-central chi-square distribution, a class of non-normal distributions. To evaluate the popular yield-based process capability Cpk more accurately, we accommodate the magnitudes of undetected mean shifts using the modified capability evaluation formula and tabulate the detection powers under various subgroup sizes and non-central chi-square parameters. Based on the modified process capability evaluation, we can provide a more reliable process capability evaluation of capability index Cpk for square bumps and make more correct decisions. For illustration purpose, a real application in a bumping factory which is located on the Science-based Industrial Park in Hsinchu, Taiwan, is presented.
Process Capability Indices For Non Normal Distributions
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Author : Y. K. Cha
language : en
Publisher:
Release Date : 2000
Process Capability Indices For Non Normal Distributions written by Y. K. Cha and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Process control categories.