Table 2: Control limits for the Phase I EWMA chart with λI = 0.6 obtained from 50000 sets of k = 50 normal samples of size n = 5 for both the formulations of the ESEM.

Normal parameters

estimations

Zwetsloot’s formulation

Shen’s formulation

μ ^ σ ^

LCL

UCL

LCL

UCL

-0.01935

1.01798

-0.79722

0.75852

-0.79237

0.75248

0.05729

0.99620

-0.70394

0.81852

-0.69584

0.80936

0.01954

1.03771

-0.77340

0.81248

-0.76644

0.80600

0.03217

1.05359

-0.77291

0.83725

-0.76938

0.83031

0.02998

0.97172

-0.71254

0.77250

-0.70355

0.76304