Truncated normal distribution-based EWMA control chart for monitoring the process mean in the presence of outliers

2021 ◽  
pp. 1-13
Author(s):  
Wushuang Tan ◽  
Liu Liu
Keyword(s):  
Normal Distribution ◽  
Control Chart ◽  
Truncated Normal Distribution ◽  
Process Mean ◽  
Ewma Control Chart ◽  
Truncated Normal

Features of accumulation of amounts of measurement error

2017 ◽  
Vol 928 (10) ◽  
pp. 58-63 ◽  
Author(s):  
V.I. Salnikov
Keyword(s):  
Measurement Error ◽  
Confidence Interval ◽  
Normal Distribution ◽  
Confidence Level ◽  
Measurement Errors ◽  
Truncated Normal Distribution ◽  
Truncated Normal ◽  
The Law ◽  
Normal Law

The initial subject for study are consistent sums of the measurement errors. It is assumed that the latter are subject to the normal law, but with the limitation on the value of the marginal error Δpred = 2m. It is known that each amount ni corresponding to a confidence interval, which provides the value of the sum, is equal to zero. The paradox is that the probability of such an event is zero; therefore, it is impossible to determine the value ni of where the sum becomes zero. The article proposes to consider the event consisting in the fact that some amount of error will change value within 2m limits with a confidence level of 0,954. Within the group all the sums have a limit error. These tolerances are proposed to use for the discrepancies in geodesy instead of 2m*SQL(ni). The concept of “the law of the truncated normal distribution with Δpred = 2m” is suggested to be introduced.

An efficient adaptive EWMA control chart for monitoring the process mean

2018 ◽  
Vol 34 (4) ◽  
pp. 563-571 ◽  
Author(s):  
Abdul Haq ◽  
Rabia Gulzar ◽  
Michael B. C. Khoo
Keyword(s):  
Control Chart ◽  
Process Mean ◽  
Ewma Control Chart

A novel single composite Shewhart‐EWMA control chart for monitoring the process mean

2021 ◽  
Author(s):  
Jean‐Claude Malela‐Majika ◽  
Sandile C. Shongwe ◽  
Philippe Castagliola ◽  
Ruffin M. Mutambayi
Keyword(s):  
Control Chart ◽  
Process Mean ◽  
Ewma Control Chart

A EWMA Control Chart based on Repetitive Sampling to Monitor Process Mean with Geometric Poisson Characteristics

2017 ◽  
Vol 16 (2) ◽  
pp. 186-194 ◽  
Author(s):  
Asma Arshad ◽  
Muhammad Azam ◽  
Muhammad Aslam ◽  
Chi-Hyuck Jun
Keyword(s):  
Control Chart ◽  
Process Mean ◽  
Ewma Control Chart
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