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Original Articles

An entropic framework for the normal distribution in capability analysis

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Pages 1361-1377 | Received 01 Feb 1998, Published online: 27 Jun 2007

References

  • Boyles , R.A. 1991 . The Taguchi Capability Index . Journal of Quality Technology , 23 ( 1 ) : 17 – 26 .
  • Boyles , R.A. 1994 . Process Capability with Asymmetric Tolerances, . Communicatiomi in Statistics Simulations and Computations , 23 ( 3 ) : 615 – 643 .
  • Chan , L.K. , Cheng , S.W. and Spiring , F.A. 1988 . A New Measure of Process Capability: . Journal of Quality Technology , 20 ( 3 ) : 162 – 175 .
  • Cheng , S.W. 1992 . Is the Process Capable Tables and Graphs Assessing . Quality Engineering , 4 ( 4 ) : 563 – 576 .
  • Guiasu , S. 1977 . Information Theory with Applications , New York : Mc Graw Hill .
  • Guiasu , S. 1990 . A Classification of the Main Probability Distributions by Minimizing the Wieghted Logarithmic Measure of Deviation . Annals of J Institute of Statistical mathematics , 12 ( 2 ) : 269 – 279 .
  • Gunter , B.H. 1989 . The Use and Abuse of C . Quality Progress , 22 ( 2 ) : 86 – 87 .
  • Jaynes , E.T. 1957 . Information Theory and Statistical Mechanics I . Physical Review , 106 ( 4 ) : 620 – 630 .
  • Jaynes , E.T. 1959 . Information Theory and Statistical Mechanics I . Physical Review , 108 ( 2 ) : 171 – 190 .
  • Johnson , R.W. 1979 . Axiomatic CharacteriZation of the Direct Divergences and thier Linear Combinations . IEEE Transactions on Information Theory , 25 ( 6 ) : 709 – 716 .
  • Kane , V F. 1986 . Process Capability Indices . Journal of Quality Technology , 18 ( 6 ) : 41 – 52 .
  • Kotz , S. and Johnson , N. L. 1993 . Process Capability Indices , London : Chapman&Hall .
  • Kullback , S. and Leibler , R.A. 1951 . On Information and Sufficiency . Annals of Mathematical Statistics , 22 : 79 – 86 .
  • Kullback , S. 1959 . Information Theory and Statistics , London : Chapman & Hall .
  • Montgomery , D. , Runger , G. and Hubele , N. 1998 . Engineering Statistics , New York : John Wiley .
  • Scrinivasan , V. , Runger , G. and Hubele , N. 1997 . General Product Specifications (GPS) - Statistical Toierancing of Mechanical Parts - Part 2 : , Tolrance definitions," Draft ISO standard, ISO/Tc213/WG13 .
  • Shore , J.E. and Johnson , R.W. 1980 . Axiomatic Derivation of the Principle of Maximum Entropy and the Principle of Minimum Cross-Entropy . IEEE Iransactions on Information Theory , 26 ( 1 ) : 26 – 37 .
  • Shore , J.E. and Johnson , R.W. 1981 . Properties of the Cross-Entropy Mimmization . IEEE TYansactions on Information Theory , 27 ( 4 ) : 472 – 482 .
  • Spiring , F.A. 1997 . A Unifying Approach to Process Capability Indices, . Journal of Quality Technology , 29 ( 4 ) : 49 – 58 .
  • Sommerville , S. and Montgomery , D. 1996 . Process Capability Indies and Non-normal Distributions . Quality Engineering , 9 ( 4 ) : 305 – 116 .
  • Vannman , K. 1997 . A General Class of Capability Indices in the Case of Asymmetric Tolerances, . Communications in Statistics - Theory and Methods , 26 ( 4 ) : 2049 – 2072 .
  • Vuelcker , H.B. , Morse , E. , Zirnmer , L.S. and Hubele , N.F. 1997 . Quantiies of the Sampling Distribution of . Quality Engineering , 10 ( 2 ) : 309 – 329 .

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