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. 2023 Nov 8;51(12):2298–2325. doi: 10.1080/02664763.2023.2279015

Table 3.

Control limits of two EWMA-type schemes for ratio V, with ARL0=370.

    EWMA MOSE
    n = 1 n = 5 n = 1 n = 5
γ ρ LCL UCL LCL UCL LCL UCL LCL UCL
(0.02, 0.02, 0.02) (−0.4, −0.4, −0.4) 0.48574 0.51481 0.49355 0.50655 0.48651 0.51412 0.49387 0.50624
  (0.0, 0.0, 0.0) 0.48792 0.51245 0.49455 0.50552 0.48854 0.51190 0.49483 0.50526
  (0.4, 0.4, 0.4) 0.49061 0.50964 0.49577 0.50428 0.49109 0.50918 0.49598 0.50406
  (0.8, 0.8, 0.8) 0.49455 0.50555 0.49755 0.50246 0.49481 0.50527 0.49767 0.50235
  (0.4, 0.6, 0.8) 0.49449 0.50549 0.49754 0.50245 0.49479 0.50522 0.49766 0.50234
(0.1, 0.1, 0.1) (−0.4, −0.4, −0.4) 0.43359 0.58088 0.46887 0.53393 0.43750 0.57737 0.47057 0.53241
  (0.0, 0.0, 0.0) 0.44291 0.56758 0.47353 0.52855 0.44618 0.56451 0.47487 0.52721
  (0.4, 0.4, 0.4) 0.45472 0.55170 0.47927 0.52193 0.45720 0.54934 0.48032 0.52090
  (0.8, 0.8, 0.8) 0.47302 0.52904 0.48788 0.51253 0.47444 0.52776 0.48850 0.51194
  (0.4, 0.6, 0.8) 0.47211 0.52795 0.48770 0.51233 0.47353 0.52653 0.48830 0.51170
(0.2, 0.2, 0.2) (−0.4, −0.4, −0.4) 0.37700 0.68480 0.44004 0.57144 0.38562 0.67828 0.44355 0.56837
  (0.0, 0.0, 0.0) 0.39172 0.65555 0.44854 0.55975 0.39882 0.65000 0.45156 0.55712
  (0.4, 0.4, 0.4) 0.41141 0.61906 0.45940 0.54564 0.41713 0.61429 0.46146 0.54355
  (0.8, 0.8, 0.8) 0.44463 0.56674 0.47591 0.52585 0.44793 0.56342 0.47718 0.52457
  (0.4, 0.6, 0.8) 0.44094 0.55883 0.47515 0.52480 0.44411 0.55590 0.47641 0.52364
(0.3, 0.3, 0.3) (−0.4, −0.4, −0.4) 0.32756 0.83469 0.41334 0.61312 0.34141 0.82359 0.41870 0.60867
  (0.0, 0.0, 0.0) 0.34313 0.79859 0.42489 0.59433 0.35584 0.78780 0.42946 0.59074
  (0.4, 0.4, 0.4) 0.36470 0.74703 0.43983 0.57218 0.37514 0.73723 0.44335 0.56880
  (0.8, 0.8, 0.8) 0.40313 0.64844 0.46373 0.54035 0.41040 0.64076 0.46569 0.53854
  (0.4, 0.6, 0.8) 0.39685 0.60319 0.46215 0.53789 0.40289 0.59697 0.46398 0.53597
(0.1, 0.2, 0.3) (−0.4, −0.4, −0.4) 0.15077 0.31349 0.18840 0.25983 0.15519 0.30992 0.190325 0.258224
  (0.0, 0.0, 0.0) 0.15476 0.29791 0.19158 0.25443 0.15851 0.29474 0.19312 0.25292
  (0.4, 0.4, 0.4) 0.15971 0.28133 0.19531 0.24847 0.16249 0.27828 0.19661 0.24709
  (0.8, 0.8, 0.8) 0.16556 0.26246 0.20015 0.24138 0.16777 0.25986 0.20113 0.24027
  (0.4, 0.6, 0.8) 0.16412 0.26487 0.19916 0.24240 0.16660 0.26205 0.20015 0.24132
(0.3, 0.2, 0.1) (−0.4, −0.4, −0.4) 0.98966 1.56001 1.09541 1.33090 1.00581 1.54876 1.10159 1.32566
  (0.0, 0.0, 0.0) 1.01241 1.56819 1.10570 1.32320 1.02812 1.55750 1.11169 1.31851
  (0.4, 0.4, 0.4) 1.03822 1.58148 1.11721 1.31454 1.05241 1.57281 1.12258 1.31009
  (0.8, 0.8, 0.8) 1.06692 1.61014 1.13032 1.30387 1.08053 1.60253 1.13508 1.30040
  (0.4, 0.6, 0.8) 1.08285 1.48660 1.13989 1.28466 1.09334 1.47933 1.14364 1.28138