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Foreword | |
Preface | |
Introduction | p. 1 |
Facts needed from distribution theory | p. 3 |
Approximations with statistical differentials ('delta method') | p. 10 |
Binomial and Poisson distributions | p. 14 |
Normal distributions | p. 16 |
(Central) chi-squared distributions and non-central chi-squared distributions | p. 18 |
Beta distributions | p. 22 |
t-distributions and non-central t-distributions | p. 24 |
Folded distributions | p. 26 |
Mixture distributions | p. 27 |
Multinormal (multivariate normal) distributions | p. 29 |
Systems of distributions | p. 30 |
Facts from statistical methodology | p. 32 |
The basic process capability indices: C[subscript p], C[subscript pk] and their modifications | p. 37 |
The C[subscript p] index | p. 38 |
Estimation of C[subscript p] | p. 43 |
The C[subscript pk] index | p. 51 |
Estimation of C[subscript pk] | p. 55 |
Comparison of capabilities | p. 74 |
Correlated observations | p. 76 |
PCIs for attributes | p. 78 |
The C[subscript pm] index and related indices | p. 87 |
The C[subscript pm] index | p. 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] index | p. 112 |
The C[subscript pmk] index | p. 117 |
C[subscript pm](a) indices | p. 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 properties | p. 135 |
Effects of non-normality | p. 137 |
Construction of robust PCIs | p. 151 |
Flexible PCIs | p. 164 |
Asymptotic properties | p. 170 |
Multivariate process capability indices | p. 179 |
Construction of multivariate PCIs | p. 180 |
Multivariate analogs of C[subscript p] | p. 183 |
Multivariate analogs of C[subscript pm] | p. 187 |
Vector-valued PCIs | p. 194 |
Note on computer programs | p. 203 |
Postscript | p. 205 |
Index | p. 209 |
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