Abstract
In this paper the effect of non-normality conjunction with AR (2) process has been examined on single sampling plan for known cv. The OC functions are calculated for typical non-normal population and for different roots values. The effect of AR (2) process on the OC function remains more or less of the same magnitude when we move from normal to non normal.
Key-Words / Index Term
Single sampling plan, non-normality, OC function, auto-correlation, coefficient of variation
References
[1]. Bai, D. S. and Riew, M. C. (1984). “An economic attributes acceptance sampling plan with three decision criteria”, Journal of Quality Technology, 16(3),136–143.
[2]. Cassady, R. and Nachlas, J. A. (2003). “Evaluating and implementing 3-level acceptance sampling plans”, Quality Engineering, 15(3), 361–369.
[3]. Chen, J. W., Chou, W., Wu, H. and Zhou, H. (2004). “Designing acceptance sampling schemes for life testing with mixed censoring”, Naval Research Logistics, 51(4),597–612.
[4]. Chen, J. W., Choy, S. T. B. and Li, K. H. (2004). “Optimal Bayesian sampling acceptance plan with random censoring”. European Journal of Operational Research, 155(3), 683–694.
[5]. Durbin, J. and Watson, G. S. (1950). “Testing for serial correlation in least squares regression” Biometrika, 37.
[6]. Ferrell, W. G. and Chhoker, A. (2002). “Design of economically optimal acceptance sampling plans with inspection error”, Computers & Operations Research, 29(10), 1283–1300.
[7]. Gonzalez, C. and Palomo, G. (2003). “Bayesian acceptance sampling plans following economic criteria: An application to paper pulp manufacturing”, Journal of Applied Statistics, 30(3), 319–333.
[8]. Montgomery, D. C. (2001). “Introduction to Statistical Quality Control”, New York: John Wiley.
[9]. Rao, K. A. and Bhatta, A. (1989). A note on test for coefficient of variation, University of Agricultural Science, Dharwad.
[10]. Srivastava, S. R. and Banarasi (1980). A note on the estimation of mean of asymmetrical population, Jar. Ind. Soc. Agri. Stat. 26(2), 33-36.
[11]. Wall, M. S. and Elshennawy, A. K. (1989). “Economically-based acceptance sampling plans”, Computers & Industrial Engineering, 17(1–4), 340–346.
[12]. Wetherrill, G. B. and Chiu, W. K. (1975). “A review of acceptance sampling schemes with emphasis on the economic aspect”, International Statistical Review, 43(2), 91–210.23
Citation
Singh J.R. and Singh D.P., "Robustness to Non-Normality and Ar (2) Process of the Sampling Plans," International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.1, Issue.4, pp.1-9, 2014
