References
- M. Aslam, G. Srinivasa Rao, L. Ahmad, and C.H. Jun, A control chart for multivariate Poisson distribution using repetitive sampling, J. Appl. Stat. 44 (2016), pp. 123–136. doi: 10.1080/02664763.2016.1164837
- J.R. Chimka and P.V. Cabrera Arispe, New demerit control limits for Poisson distributed defects, Qual. Eng. 18 (2006), pp. 461–467. doi: 10.1080/08982110600817235
- J.E. Chiu and T.I. Kuo, Attribute control chart for multivariate Poisson distribution, Comm. Statist. Theory Methods 37 (2008), pp. 146–158. doi: 10.1080/03610920701648771
- P.C. Cozzucoli and M. Marozzi, Monitoring multivariate Poisson processes: A review and some new results, Qual. Technol. Quant. Manag. 15 (2018), pp 53–68. doi: 10.1080/16843703.2017.1304035
- H.F. Dodge, A method of rating manufactured product, Bell Sys. Tech. J. 7 (1928), pp. 350–368. doi: 10.1002/j.1538-7305.1928.tb01229.x
- S. He, Z. He, and G.A. Wang, CUSUM control charts for multivariate Poisson distribution, Comm. Statist. Theory Methods 43 (2014), pp. 1192–1208. doi: 10.1080/03610926.2012.667484
- E.J. Henley and H. Kumamoto, Reliability Engineering and Risk Assessment, Prentice-Hall, Inc., Englewood Cliffs, NJ, 1981.
- P. Holgate, Estimation for the bivariate Poisson distribution, Biometrika 51 (1964), pp. 241–245. doi: 10.1093/biomet/51.1-2.241
- W. Jiang, S.T. Au, K.L. Tsui, and M. Xie, Process monitoring with univariate and multivariate c-charts, Tech. Rep. the Logistics Institute, Georgia Tech, and the Logistics Institute-Asia Pacific, 2002.
- N.L. Johnson, S. Kotz, and N. Balakrishnan, Discrete Multivariate Distribution, Wiley, New York, 1997.
- L.A. Jones, W.H. Woodall, and M.D. Conerly, Exact properties of demerit control charts, J. Qual. Technol. 31 (1999), pp. 207–216. doi: 10.1080/00224065.1999.11979915
- D. Karlis, An EM algorithm for multivariate Poisson distribution and related models, J. Appl. Stat. 30 (2003), pp. 63–77. doi: 10.1080/0266476022000018510
- D. Karlis and I. Ntzoufras, Bivpois: Bivariate Poisson Models using the EM algorithm, R package version 0.50-2, 2005.
- K. Kawamura, The structure of bivariate Poisson distribution, Tech. Rep. Department of Mathematics, Tokyo Institute of Technology, 1973.
- K. Kawamura, The structure of multivariate Poisson distribution, Kodai Math. J. 2 (1979), pp. 337–345. doi: 10.2996/kmj/1138036064
- K. Kawamura, Direct calculation of maximum likelihood estimator for the bivariate Poisson distribution, Kodai Math. J. 7 (1984), pp. 211–221. doi: 10.2996/kmj/1138036908
- C.D. Kemp and A.W. Kemp, Some properties of the hermite distribution, Biometrika 52 (1965), pp. 381–394.
- A.S. Krishnamoorthy, Multivariate binomial and Poisson distribution, Sankhya 11 (1951), pp. 117–124.
- B. Laungrungrog, C.M. Borror, and D.C. Montgomery, A one-sided MEWMA control chart for Poisson distributed data, Int. J. Data Anal. Tech. Strategies 6 (2014), pp. 15–42. doi: 10.1504/IJDATS.2014.059013
- D.C. Montgomery, Introduction to Statistical Quality Control, Wiley, New York, 2009.
- W.T. Tsai, Developing process capability index for attribute data under weighted Poisson distribution, Master Thesis, Department of Statistics, National Cheng Kung University, 2014.