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Average Run Length performance of CuSum Control Chart using Neural Network

2006 IEEE International Multitopic Conference, 2006
In a manufacturing or industrial process, reducing the variability of a systems and products is essential to increase yield and quality of the products. Statistical process control is a power collection of problem-solving tools useful to increase yield and quality of products through the reduction of variability.
Abdul Sattar Jamali   +3 more
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Wald's approximations to the average run length in cusum procedures

Journal of Statistical Planning and Inference, 1978
Abstract Wald's approximation to the ARL(average run length in cusum) (cumulative sum) procedures are given for an exponential family of densities. From these approximations it is shown that Page's (1954) cusum procedure is (in a sense) identical with a cusum procedure defined in terms of likelihood ratios. Moreover, these approximations are improved
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Average Run Length and the OC Curve of Sampling Plans

Quality Engineering, 2005
ABSTRACT This paper amplifies the distinction between Type A and Type B sampling plans for individual lots and processes, respectively. It introduces the f-binomial distribution as a Poisson type finite analog to the hypergeometric distribution for use in constructing appropriate Type A OC curves for defects.
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Average Run Lengths for Exponentially Weighted Moving Average Control Schemes Using the Markov Chain Approach

Journal of Quality Technology, 1990
A FORTRAN computer program is given for the computation of average run lengths (ARLs) for exponentially weighted moving average (EWMA) and combined Shewhart-EWMA control schemes. The program calculates zero-state and steady-state ARLs using the Markov c..
Michael S. Saccucci, James M. Lucas
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Run length, average run length and false alarm rate of shewhart x-bar chart: exact derivations by conditioning

Communications in Statistics - Simulation and Computation, 2000
The effects of estimation of the control limits on the performance of the popular Shewhart X-bar chart are examined via the average run length and the probability of a false alarm, when one or both of the process mean and variance are unknown. Exact expressions for the run length, the average run length (ARL) and the false alarm rate are obtained, in ...
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Designing S-Charts with Two Average Run Length Constraints

Journal of Quality Technology, 1999
A BASIC program is given for determining the required sample size and the upper control limit for an S-chart with two average run length (ARL) constraints.
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Explicit Formulas of Average Run Length for Mixed Moving Average – Exponentially Weighted Moving Average Control Chart

The Journal of King Mongkut's University of Technology North Bangkok, 2022
Sunisa Wiwek   +2 more
openaire   +1 more source

Bounds for the Distribution of the Run Length of Geometric Moving Average Charts

Applied Statistics, 1986
Let \(\{X_ n: n\geq 1\}\) be a sequence of i.i.d. random variables and consider a geometric moving average scheme \(S_ n=(1-r)S_{n-1}+rX_ n\), \(n\geq 1\), where \(S_ 0=w\) for some specified initial value w, - \(\infty \leq h^-n+1). \] Part (i) contains the derived bounds for the distribution of N, Parts (ii) and (iii) guarantee improved bounds at ...
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A study on average run length of fuzzy EWMA control chart

Soft Computing, 2022
Muhammad Zahir Khan   +3 more
openaire   +1 more source

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