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One - Sided Cumulative Sum (CUSUM) Control Charts for the Erlang - Truncated Exponential Distribution

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Języki publikacji
EN
Abstrakty
EN
In this article, we construct one-sided cumulative sum (CUSUM) control charts for controlling the parameters of a random variable with erlang-truncated exponential distribution. The rejection of the Wald’s sequential probability ratio test (SPRT) is viewed as the decision lines of a CUSUM control chart for which the variate is a quality characteristic. Parameters of the CUSUM chart, e.g. lead distance and mask angle, are presented. The results show that the Average Run Length (ARL) of the resulting control charts changes substantially for a slight shift in the parameters of the distribution.
Twórcy
  • Department of Statistics, School of Mathematical Sciences, University of Dodoma Dodoma, Tanzania, PO Box:259
Bibliografia
  • [1] A.B. Chakraborty, A. Khurshid, One-Sided Cumulative Sum (CUSUM) Control Charts for the Zero-Truncated Binomial Distribution, Economic Quality Control 26, 41-51 (2011).
  • [2] A.R. El-Alosey, Random sum of new type of mixture of distribution, International Journal of Statistics and Systems 2, 49-57 (2007).
  • [3] N.L. Johnson, A simple theoretical approach to Cumulative sum control charts, Journal of Amer. Statist. Assoc. 56, 835- 840 (1961).
  • [4] N. L. Johnson, Cumulative sum control charts and theWeibull distribution, Technometrics 8 (3), 481-491 (1966).
  • [5] N.L. Johnson, F.C. Leone, Cumulative sum control charts: Mathematical principles applied to their construction and use, Indust. Qual. Control 19, 22-28 (1962).
  • [6] R.R.L. Kantam, G.S. Rao, Cumulative Sum Control Chart for log-logistic distribution, InterStat, online Journal, July, 1-9 (2006).
  • [7] J.M. Lucas, Combined Shewhart-CUSUM quality control schemes, Journal of Quality Technology 14, 51-59 (1982).
  • [8] M. Mohsin, Recurrence relation for single and product moments of record values from Erlang-truncated exponential distribution,World Applied Science Journal, 6, 279-282 (2009).
  • [9] M. Mohsin, S. Shahbaz, M.Q. Shahbaz, A characterization of Erlang-truncated exponential distribution in record values and its use in mean residual life, Pakistan Journal of Statistics and Operations Research 6(2), 143-148 (2010).
  • [10] D.C. Montgomery, Introduction to Statistical Quality Control, Third edition, John Wiley&Sons, New York 2001.
  • [11] S.P. Nabar, S. Bilgi, Cumulative sum control chart for the Inverse Gaussian distribution, Journal of Indian Statistical Association 32, 9-14 (1994).
  • [12] E.S. Page, Continuous inspection schemes, Biometrika 41, 100-115 (1954).
  • [13] E.S. Page, Cumulative sum charts, Technometrics 3, 1-9 (1961).
  • [14] A. Wald, Sequential analysis, John Wiley&Sons, New York 1947.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-1b063a7c-5611-41ce-ad89-4db3568825cf
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