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Communications in Statistics - Theory and Methods Volume 26, 1997 - Issue 8
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Original Articles

A general class of capability indices in the case of asymmetric tolerances

Kerstin Vännman Division of Quality Technology & Statistics, Luleå University of Technology, Luleå, SE-971 87, Sweden
Pages 2049-2072 | Received 01 Jul 1996, Published online: 27 Jun 2007

Citations (35)

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Read on this site (17)

Aylin Pakzad & Elham Basiri. (2023) A new incapability index for simple linear profile with asymmetric tolerances. Quality Engineering 35:2, pages 324-340.
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A. Parchami & M. Mashinchi. (2010) A new generation of process capability indices. Journal of Applied Statistics 37:1, pages 77-89.
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Y. C. Chang, W. L. Pearn & Chien-Wei Wu. (2007) On the Sampling Distributions of the Estimated Process Loss Indices with Asymmetric Tolerances. Communications in Statistics - Simulation and Computation 36:6, pages 1153-1170.
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Chien-Wei Wu & M. H. Shu. (2007) A Bayesian Procedure for Assessing Process Performance Based on Expected Relative Loss with Asymmetric Tolerances. Journal of Applied Statistics 34:9, pages 1109-1123.
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P. C. Lin & Y. T. Chung. (2007) A practical implementation of the process capability index . Journal of Statistics and Management Systems 10:2, pages 211-225.
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W. L. Pearn, Y. C. Chang & Chien-Wei Wu. (2006) Measuring Process Performance Based on Expected Loss with Asymmetric Tolerances. Journal of Applied Statistics 33:10, pages 1105-1120.
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W.L. Pearn, P.C. Lin, Y.C. Chang & Chien-Wei Wu. (2006) Quality yield measure for processes with asymmetric tolerances. IIE Transactions 38:8, pages 619-633.
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Daniel Grau. (2005) Algebraic Relationship Between Symmetrical and Asymmetrical Capability Indices. Quality Engineering 17:3, pages 359-370.
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Hung-Chin Lin. (2005) The Asymptotic Distributions of Unified Process Capability Indices. Communications in Statistics - Theory and Methods 33:4, pages 909-918.
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Michael Perakis & Evdokia Xekalaki. (2003) On a Process Capability Index for Asymmetric Specifications. Communications in Statistics - Theory and Methods 32:7, pages 1459-1492.
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P. C. Lin, W. L. Pearn & K. S. Chen. (2003) Distributional Properties and Implications of the Estimated Process Incapability Index Ĉpp. American Journal of Mathematical and Management Sciences 23:1-2, pages 75-92.
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Chin-yao Low, Fong-Jung Yu & Chien-Hua Tsai. (2002) AN APPROACH OF BOOTSTRAP IN CAPABILITY INDICES OF ASYMMETRIC TOLERANCES. Journal of the Chinese Institute of Industrial Engineers 19:2, pages 107-117.
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Yi-Ping Chang. (2001) GENERALIZED CONFIDENCE INTERVALS FOR THE PROCESS CAPABILITY INDICES. Journal of the Chinese Institute of Industrial Engineers 18:2, pages 11-20.
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A.B. Yeh & H. Chen. (2001) A Nonparametric Multivariate Process Capability Index. International Journal of Modelling and Simulation 21:3, pages 218-223.
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Jutta Jessenberger & Claus Weihs. (2000) A Note on the Behavior of C with Asymmetric Specification Limits. Journal of Quality Technology 32:4, pages 440-443.
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Monica E. Dumitrescu & Norma Faris Hubele. (1999) An entropic framework for the normal distribution in capability analysis. Communications in Statistics - Theory and Methods 28:6, pages 1361-1377.
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Kerstin Vännman. (1998) Families of Capability Indices for One-Sided Specification Limits. Statistics 31:1, pages 43-66.
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Articles from other publishers (18)

Moutushi Chatterjee & Ashis Kumar Chakraborty. (2017) Unification of some multivariate process capability indices for asymmetric specification region. Statistica Neerlandica 71:4, pages 286-306.
Crossref
Ashis Kumar Chakraborty & Moutushi Chatterjee. 2016. Quality and Reliability Management and Its Applications. Quality and Reliability Management and Its Applications 47 81 .
Abbas Parchami. 2015. Intelligent Techniques in Engineering Management. Intelligent Techniques in Engineering Management 431 447 .
Moutushi Chatterjee & Ashis Kumar Chakraborty. (2013) Exact Relationship of C ″ pk with Proportion of Nonconformance and Some Other Properties of C ″ p ( u , v ) . Quality and Reliability Engineering International 30:7, pages 1023-1034.
Crossref
Abbas Parchami & Mashaallah Mashinchi. (2012) The evaluation of educational systems: an application study. Mathematical Sciences 6:1, pages 61.
Crossref
İhsan Kaya & Cengiz Kahraman. (2011) Fuzzy process capability indices with asymmetric tolerances. Expert Systems with Applications 38:12, pages 14882-14890.
Crossref
Tsai-Yu Lin, Chien-Wei Wu, James C. Chen & Y.H. Chiou. (2011) Applying Bayesian approach to assess process capability for asymmetric tolerances based on index . Applied Mathematical Modelling 35:9, pages 4473-4489.
Crossref
Thomas P. Ryan. 2011. Statistical Methods for Quality Improvement. Statistical Methods for Quality Improvement 225 259 .
Mohammad R. Movahhedy & Saeed khodaygan. Predicting Fitting Quality of Mechanical Assemblies Through Statistical-Based Process Capability Analysis. Predicting Fitting Quality of Mechanical Assemblies Through Statistical-Based Process Capability Analysis.
Rendao Ye, Tiefeng Ma & Songgui Wang. (2009) Generalized confidence intervals for the process capability indices in general random effect model with balanced data. Statistical Papers 52:1, pages 153-169.
Crossref
Miquel Salicrú, Juan J. Barreiro & Sergi Civit-Vives. 2011. Modern Mathematical Tools and Techniques in Capturing Complexity. Modern Mathematical Tools and Techniques in Capturing Complexity 39 54 .
Y.C. Chang. (2009) Interval estimation of capability index Cpmk for manufacturing processes with asymmetric tolerances. Computers & Industrial Engineering 56:1, pages 312-322.
Crossref
W.L. Pearn, C.W. Wu & K.H. Wang. (2004) Capability measure for asymmetric tolerance non-normal processes applied to speaker driver manufacturing. The International Journal of Advanced Manufacturing Technology 25:5-6, pages 506-515.
Crossref
Alan M. Polansky & S.N.U.A. Kirmani. 2003. Statistics in Industry. Statistics in Industry 625 656 .
W.L. Pearn, K.S. Chen & G.H. Lin. (1999) A generalization of Clements’ method for non‐normal Pearsonian processes with asymmetric tolerances. International Journal of Quality & Reliability Management 16:5, pages 507-522.
Crossref
Mats Deleryd & Kerstin Vännman. (1999) Process capability plots—a quality improvement tool. Quality and Reliability Engineering International 15:3, pages 213-227.
Crossref
Mats Deleryd. (1999) The effect of skewness on estimates of some process capability indices. International Journal of Applied Quality Management 2:2, pages 153-186.
Crossref
Kerstin Vännman. 1998. Quality Improvement Through Statistical Methods. Quality Improvement Through Statistical Methods 79 95 .

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