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Communications in Statistics - Theory and Methods Volume 24, 1995 - Issue 5
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Original Articles

The asymptotic distribution of the process capability index Cpmk

Sy-Mien Chen Department of Mathematics, Fu-Jen University, Taiwan, R.O.C, 24205
&
Nai-Feng Hsu Department of Mathematics, Fu-Jen University, Taiwan, R.O.C, 24205
Pages 1279-1291 | Received 01 Jun 1994, Published online: 27 Jun 2007

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Vasileios Alevizakos & Christos Koukouvinos. (2019) An asymptotic confidence interval for the process capability index C. Communications in Statistics - Theory and Methods 48:20, pages 5138-5144.
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Mohammad Saber Fallah Nezhad & Sina Seifi. (2017) Designing optimal double-sampling plan based on process capability index. Communications in Statistics - Theory and Methods 46:13, pages 6624-6634.
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Mohammad Saber Fallah Nezhad & Sina Seifi. (2017) Repetitive group sampling plan based on the process capability index for the lot acceptance problem. Journal of Statistical Computation and Simulation 87:1, pages 29-41.
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Chien-Wei Wu, Tai-Hsi Wu & Tiffany Chen. (2015) Developing a variables repetitive group sampling scheme by considering process yield and quality loss. International Journal of Production Research 53:7, pages 2239-2251.
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Chien-Wei Wu, Chi-Wei Lin & James C. Chen. (2013) An improved approach for process performance evaluation with the consideration of process yield and quality loss. International Journal of Production Research 51:21, pages 6397-6409.
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Daniel Grau. (2011) Process Yield and Capability Indices. Communications in Statistics - Theory and Methods 40:15, pages 2751-2771.
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Chien-Wei Wu & P. H. Huang. (2010) Generalized Confidence Intervals for Comparing the Capability of Two Processes. Communications in Statistics - Theory and Methods 39:13, pages 2351-2364.
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W.L. Pearn, Hui Nien Hung, Ya Ching Cheng & Gu Hong Lin. (2010) Procedure of the convolution method for estimating production yield with sample size information. International Journal of Production Research 48:5, pages 1245-1265.
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Shu-Fei Wu & Mei-Chu Liang. (2010) A note on the asymptotic distribution of the process capability index C . Journal of Statistical Computation and Simulation 80:2, pages 227-235.
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W. L. Pearn, Dong-Yuh Yang & Ya-Ching Cheng. (2009) An Improved Approach for Estimating Product Performance Based on the Capability Index C . Communications in Statistics - Simulation and Computation 38:10, pages 2073-2095.
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Chien-Wei Wu & Tsai-Yu Lin. (2009) A Bayesian procedure for assessing process performance based on the third-generation capability index. Journal of Applied Statistics 36:11, pages 1205-1223.
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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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W.L. Pearn & Chien-Wei Wu. (2005) AN EFFECTIVE MODERN APPROACH FOR MEASURING HIGH-TECH PRODUCT MANUFACTURING PROCESS QUALITY. Journal of the Chinese Institute of Industrial Engineers 22:2, pages 119-133.
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Samuel Kotz & Norman L. Johnson. (2002) Process Capability Indices—A Review, 1992–2000. Journal of Quality Technology 34:1, pages 2-19.
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Wagner Borges & Linda Lee Ho. (2000) On the sampling distribution of clement's capability index. Communications in Statistics - Simulation and Computation 29:1, pages 121-138.
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Peter A Wright. (1998) The probability density function of process capability index Cpmk . Communications in Statistics - Theory and Methods 27:7, pages 1781-1789.
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Hanfeng Chen. (1997) Asymptotic Analysis of a Class of Process Capability Indices. Statistics 30:2, pages 149-162.
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Hanfeng Chen & Samuel Kotz. (1996) An asymptotic distribution of wright’s process capability index sensitive to skewness. Journal of Statistical Computation and Simulation 55:1-2, pages 147-158.
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Sy-mien Chen. (1996) Response to the “letter to the editor”. Communications in Statistics - Theory and Methods 25:6, pages 1407-1408.
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Norman L. Johnson. (1996) Letter to the editor the asymptotic distribution of the process capability index cpmk . Communications in Statistics - Theory and Methods 25:6, pages 1405-1405.
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Articles from other publishers (21)

Michael Perakis. (2021) Some new methods for comparing the capability of two processes using process capability index C pm . International Journal of Quality & Reliability Management 39:5, pages 1170-1189.
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Amitava Mitra. 2021. Fundamentals of Quality Control and Improvement. Fundamentals of Quality Control and Improvement 471 525 .
Bhisham C. Gupta. 2021. Statistical Quality Control. Statistical Quality Control 361 364 .
Duvan Rosales Ordoñez, Brayan Púa De la Hoz & Roberto Herrera Acosta. (2019) PROPUESTA DEL INDICE DE CAPACIDAD DPMO BASADO EN LA DESVIACIÓN MEDIA. Ingeniería e Innovación 5:2.
Crossref
Mahendra Saha, Sumit Kumar, Sudhansu S. Maiti & Abhimanyu Singh Yadav. (2018) Asymptotic and bootstrap confidence intervals of generalized process capability index $$C_{py}$$ C py for exponentially distributed quality characteristic. Life Cycle Reliability and Safety Engineering 7:4, pages 235-243.
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Luca Baciarello & Massimiliano M. Schiraldi. (2015) A Proposal for a Management-Oriented Process Capability Index. International Journal of Engineering Business Management 7, pages 26.
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Thomas P. Ryan. 2011. Statistical Methods for Quality Improvement. Statistical Methods for Quality Improvement 225 259 .
Joong-Jae Cho, Hye-Kyung Yu & Jung-Su Hana. (2010) Test of Hypothesis in Assessing Process Capability Index C pmk . Communications for Statistical Applications and Methods 17:3, pages 459-471.
Crossref
M. R. Mitchell, R. E. Link, Chien-Wei Wu, Mou-Yuan Liao & Ming-Hung Shu. (2010) Process Performance Evaluation with Imprecise Information. Journal of Testing and Evaluation 38:2, pages 102480.
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M. R. Mitchell, R. E. Link, Mou-Yuan Liao, He-Yau Kang, Amy H. I. Lee & Chien-Wei Wu. (2010) Capability Testing Based on Subsamples: A Case on Photolithography Process Control in Wafer Fabrication. Journal of Testing and Evaluation 38:2, pages 102388.
Crossref
Chien-Wei Wu, W.L. Pearn & Samuel Kotz. (2009) An overview of theory and practice on process capability indices for quality assurance. International Journal of Production Economics 117:2, pages 338-359.
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Mohammed Z. Anis. (2008) Basic Process Capability Indices: An Expository Review. International Statistical Review 76:3, pages 347-367.
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Chien-Wei Wu & W.L. Pearn. (2008) A variables sampling plan based on Cpmk for product acceptance determination. European Journal of Operational Research 184:2, pages 549-560.
Crossref
Chien-Wei Wu. (2008) Assessing process capability based on Bayesian approach with subsamples. European Journal of Operational Research 184:1, pages 207-228.
Crossref
Huiming Zhu, Jun Yang & Liya Hao. (2007) Bayesian evaluation approach for process capability based on subsamples. Bayesian evaluation approach for process capability based on subsamples.
B. M. Hsu, M. H. Shu & W. L. Pearn. (2006) Measuring process capability based on C pmk with gauge measurement errors . Quality and Reliability Engineering International 23:5, pages 597-614.
Crossref
Thomas Mathew, G. Sebastian & K. M. Kurian. (2006) Generalized confidence intervals for process capability indices. Quality and Reliability Engineering International 23:4, pages 471-481.
Crossref
Arjun K. Gupta & Saralees Nadarajah. (2006) Exact and Approximate Distributions for the Linear Combination of Inverted Dirichlet Components. JOURNAL OF THE JAPAN STATISTICAL SOCIETY 36:2, pages 225-236.
Crossref
W. L. Pearn, G. H. Lin & C. S. Chang. (2003) On the Distribution of the Estimated Process Capability Index C pmk. Economic Quality Control 18:1.
Crossref
Alan M. Polansky & S.N.U.A. Kirmani. 2003. Statistics in Industry. Statistics in Industry 625 656 .
W. L. Pearn & P. C. Lin. (2002) Computer program for calculating the p ‐value in testing process capability index C pmk . Quality and Reliability Engineering International 18:4, pages 333-342.
Crossref

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