Results 231 to 240 of about 395,566 (267)

Average Run Lengths for CUSUM Schemes When Observations Are Exponentially Distributed

Technometrics, 1985
Page (1954) originally noted that it is possible to find an integral equation whose solution gives average run lengths for one-sided CUSUM schemes. Lucas and Crosier (1982), for the case of normally distributed observations, have obtained numerical solutions to Page's integral equation and used these in their study of so called fast-initial-response ...
Stephen Vardeman, Di-ou Ray
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AVERAGE RUN LENGTH COMPUTATION OF ARMA CHARTS FOR STATIONARY PROCESSES

Communications in Statistics - Simulation and Computation, 2001
The ARMA chart is a unified family of statistical process control techniques proposed in [1] for monitoring the mean level of stationary processes. Based on simulation studies, the ARMA chart has been shown to be comparable to the optimal EWMA chart for monitoring IID processes and outperform other conventional charts proposed for monitoring ...
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Average Run Length Performance of Shewhart Control Charts with Interpretation Rules

2006 IEEE International Conference on Industrial Informatics, 2006
The most popular tool used in the industry for monitoring the process mean is the Shewhart control chart. The major disadvantage of the Shewhart control chart is that it is not very efficient in detecting the small changes in the process mean. In order to make the Shewhart chart more efficient to detect the small changes in the process mean additional ...
Abdul Jamali, Li JinLin, Muhammad Durad
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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, Attaullah Khawaja, null Li JinLin, Noor Muhammad Memon   +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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Approximations to the Average Run Length in Cumulative Sum Control Charts

Technometrics, 1975
An approximation to the average run length for cumulative sum control charts is derived using the analogy between this procedure and the sequential probability ratio test for normal observations. This approximation is also derived by using a Brownian motion approximation to the cumulative sum.
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