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Minimax risk strategy for testing capability | ||
Journal of Mahani Mathematical Research | ||
دوره 11، شماره 1 - شماره پیاپی 21، فروردین 2022، صفحه 47-59 اصل مقاله (537.61 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22103/jmmrc.2021.18262.1171 | ||
نویسندگان | ||
Abbas Parchami* 1؛ Bahram Sadeghpour Gildeh2 | ||
1Department of Statistics, Shahid Bahonar University of Kerman, Kerman, Iran | ||
2Department of Statistics, Factually of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Iran | ||
چکیده | ||
Process capability indices are used widely throughout the world to give a quick indication of a process capability in a format that is easy to use and understand. A process capability index $C_p$ that constructed for measuring the quality is an effective tool for assessing process capability, since this index can reflect whether a centering process is capable of reproducing items meeting the specifications limits. The minimax approach is proposed in this paper for testing capability on the basis of precision index Cp when the producer goal is avoiding the largest possible risk. Motivations and benefits of proposing minimax approach are discussed for capability test. Also, the proposed method clarified by an industrial application. | ||
کلیدواژهها | ||
Testing hypothesis؛ Process capability index؛ Precision index؛ Minimax procedure؛ Loss function | ||
مراجع | ||
[1] Z. Abbasi Ganji, B. Sadeghpour Gildeh, M. Amini and A. Babaei,Statistical Inference for the Non-Conforming Rate of FGM Copula-Based Bivariate Exponential Lifetime , Journal of Mahani Mathematical Research Center 11 (2022) 1{27.
[2] Z. Abbasi Ganji, Multivariate process incapability vector, Quality and Reliability Engineering International 35 (2019) 902{919.
[3] Z. Abbasi Ganji and B. Sadeghpour-Gildeh, A new multivariate process capability index, Total Quality Management & Business Excellence 30 (2019) 525{536.
[4] Z. Abbasi Ganji and B. Sadeghpour-Gildeh, Fuzzy process capability indices for simple linear pro le, Journal of Applied Statistics 47 (2019) 1{23.
[5] S.G. Allen, A class of minimax tests for One-sided composite hypotheses, The Annals of Mathematical Statistics 24, No. 2 (1953) 295{298.
[6] V. Amirzadeh, M. Mashinchi and A. Parchami,Construction of p-charts using degree of nonconformity , Information Sciences 179 (2009) 150{160.
[7] L.K. Chan and S.W. Cheng, A new Measure of Process Capability Cpm, Journal of Quality Technology 20 (1988) 162{175.
[8] S.W. Cheng and F.A. Spiring, Assessing Process Capability: A Bayesian Approach, IIE Transactions 21 (1989) 97{98.
[9] Y.M. Chou and D.B. Owen, On the distributions of the estimated process capability indices Communications in Statistics: Theory and Methods (1989) 4549{4560.
[10] M. Chatterjee, Impact of multivariate normality assumption on multivariate process capability indices, Communications in Statistics: Case Studies, Data Analysis and Applications 5 (2019) 314{345.
[11] K. Gu, X. Jia, H. Liu and H. You, Yield-based capability index for evaluating the performance of multivariate manufacturing process, Quality and Reliability Engineering International 31 (2013) 419{430.
[12] H. Hadian and A. Rahimifard, Multivariate statistical control chart and process capability indices for simultaneous monitoring of project duration and cost, Computers & Industrial Engineering 130 (2019) 788{797.
[13] C. Kahraman, A. Parchami, S. evik Onar and B. ztayi,Process capability analysis using intuitionistic fuzzy sets , Journal of Intelligent & Fuzzy Systems 32 (2017) 1659{1671.
[14] V.E. Kane, Process capability indices, Journal of Quality Technology 18 (1986) 41{52.
[15] M. Kargar, M. Mashinchi and A. Parchami, A Bayesian approach to capability testing based on Cpk with multiple samples, Quality and Reliability Engineering International 30 (2013) 615{621.
[16] . Kaya and C. Kahraman, A new perspective on fuzzy process capability indices: Robustness, Expert Systems with Applications 37 (2010) 4593{4600.
[17] . Kaya and C. Kahraman, Process capability analyses with fuzzy parameters, Expert Systems with Applications 38 (2011) 11918{11927.
[18] S. Matsuura, Bayes estimator of process capability index Cpk with a speci ed prior mean, Communications in Statistics - Theory and Methods (2021) 1{13.
[19] D.C. Montgomery, Introduction to Statistical Quality Control, 5th edition, John Wiley & Sons, New York, 2005.
[20] H.J. Moon and Y.B. Chung, Comparison Analysis of Multivariate Process Capability Idices, Journal of Society of Korea Industrial and Systems Engineering 42 (2019) 106{114.
[21] A. Parchami, B. Sadeghpour-Gildeh, S.M. Taheri and M. Mashinchi,A general p-value-based approach for testing quality by considering fuzzy hypotheses , Journal of Intelligent & Fuzzy Systems 32 (2017) 1649{1658.
[22] A. Parchami, S. evik Onar, B. ztayi and C. Kahraman, Process Capability Analysis Using Interval Type-2 Fuzzy Sets, International Journal of Computational Intelligence Systems 10 (2017) 721{733.
[23] G. Parmigiani, L.Y.T. Inoue and H.F. Lopes, Decision Theory Principles and Approaches, John Wiley & Sons, United Kingdom, 2009.
[24] W.L. Pearn, S. Kotz and N. Johnson, Distribution and inferential properties of capability indices, Journal of Quality Technology 24 (1992) 41{52.
[25] W.L. Pearn and C.W. Wu, A Bayesian Approach for Assessing Process Precision Based on Multiple Samples, European Journal of Operational Research 165 (2005b) 685{695.
[26] W.L. Pearn and C.W. Wu, Process Capability Assessment for Index Cpk Based on a Bayesian Approach, Metrika 61 (2005a) 221{234.
[27] J.H. Shiau, C.T. Chiang and H.N. Hung, A Bayesian Procedure for Process Capability Assessment, Quality and Reliability Engineering International 15 (1999b) 369{378.
[28] J.H. Shiau, H.N. Hung and C.T. Chiang, A Note on Bayesian Estimation of Process Capability Indices , Statistics and Probability Letters 45 (1999a) 215{224.[29] M.L. Rizzo, Statistical Computing with R, Chapman Hall/CRC, Paris, 2008.
[30] X. Xiong and Y. Feng, Process quality indices: new metrics for process quality capability with zero-loss baseline, Total Quality Management & Business Excellence (2021) 1{19. | ||
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