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9780412543807

Process Capability Indices

by ;
  • ISBN13:

    9780412543807

  • ISBN10:

    041254380X

  • Edition: 1st
  • Format: Hardcover
  • Copyright: 1993-06-01
  • Publisher: Chapman & Hall/

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Summary

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.

Table of Contents

Foreword
Preface
Introductionp. 1
Facts needed from distribution theoryp. 3
Approximations with statistical differentials ('delta method')p. 10
Binomial and Poisson distributionsp. 14
Normal distributionsp. 16
(Central) chi-squared distributions and non-central chi-squared distributionsp. 18
Beta distributionsp. 22
t-distributions and non-central t-distributionsp. 24
Folded distributionsp. 26
Mixture distributionsp. 27
Multinormal (multivariate normal) distributionsp. 29
Systems of distributionsp. 30
Facts from statistical methodologyp. 32
The basic process capability indices: C[subscript p], C[subscript pk] and their modificationsp. 37
The C[subscript p] indexp. 38
Estimation of C[subscript p]p. 43
The C[subscript pk] indexp. 51
Estimation of C[subscript pk]p. 55
Comparison of capabilitiesp. 74
Correlated observationsp. 76
PCIs for attributesp. 78
The C[subscript pm] index and related indicesp. 87
The C[subscript pm] indexp. 88
Comparison of C[subscript pm] and C[actual symbol not reproducible] with C[subscript p] and C[subscript pk]p. 95
Estimation of C[subscript pm] (and C[actual symbol not reproducible])p. 98
Boyles' modified C[subscript pm] indexp. 112
The C[subscript pmk] indexp. 117
C[subscript pm](a) indicesp. 121
Appendix 3.A: A minimum variance unbiased estimator for W=(9C[actual symbol not reproducible])[superscript-1]p. 127
Process capability indices under non-normality: robustness propertiesp. 135
Effects of non-normalityp. 137
Construction of robust PCIsp. 151
Flexible PCIsp. 164
Asymptotic propertiesp. 170
Multivariate process capability indicesp. 179
Construction of multivariate PCIsp. 180
Multivariate analogs of C[subscript p]p. 183
Multivariate analogs of C[subscript pm]p. 187
Vector-valued PCIsp. 194
Note on computer programsp. 203
Postscriptp. 205
Indexp. 209
Table of Contents provided by Blackwell. All Rights Reserved.

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