Technical Note: An Improved Range Chart for Normal and Long-Tailed Symmetrical Distributions
نویسندگان
چکیده
The distribution of the range of a sample, even in the case of a normal distribution, is not symmetric. Shewhart’s control chart for range and other approximations for range from skewed distributions and long-tailed (leptokurtic) symmetrical distributions assume the distribution of range as symmetric and provide ±3 sigma control limits. We provide accurate approximations for the R-chart control limits for the leptokurtic symmetrical distributions, using a range quantile approximation (RQA) method and illustrate the use of the RQA method with a numerical example. As special cases, we provide constants for the R-chart for the normal, logistic, and Laplace distributions. © 2007 Wiley Periodicals, Inc. Naval Research Logistics 55: 91–99, 2008
منابع مشابه
نمودار شوهارت ناپارامتری رتبه علامت دار با فاصله نمونه گیری متغیر
Nonparametric control chart based on rank is used for detecting changes in median(mean). In this article ,Signed-rank control chart is considered with variable sampling interval. We compared the performance of Signed-rank with variable sampling interval (VSI-SR) to Signed-rank with Fixed Sampling interval (FSI-SR),the numerical results demonstrated the VSI feature is so useful. Bakir[1] showed ...
متن کاملTime Series Modeling of Coronavirus (COVID-19) Spread in Iran
Various types of Coronaviruses are enveloped RNA viruses from the Corona-viridae family and part of the Coronavirinae subfamily. This family of viruses affects neurological, gastrointestinal, hepatic, and respiratory systems. Recently, a new memb-er of this family, named Covid-19, is moving around the world. The expansion of Covid-19 carries many risks, and its control requires strict planning ...
متن کاملThe Family of Scale-Mixture of Skew-Normal Distributions and Its Application in Bayesian Nonlinear Regression Models
In previous studies on fitting non-linear regression models with the symmetric structure the normality is usually assumed in the analysis of data. This choice may be inappropriate when the distribution of residual terms is asymmetric. Recently, the family of scale-mixture of skew-normal distributions is the main concern of many researchers. This family includes several skewed and heavy-tailed d...
متن کاملRange Distributions of Low-energy Nitrogen and Oxygen Ions in Silicon (RESEARCH NOTE)
The range distributions of low-energy nitrogen and oxygen (2-3 keV) ions is silicon are measured and compared with these available in theories. The nitrogen distribution is very close to a Gaussian distribution as predicted by theory. The oxygen profile however, indicates a surface localized peak along with a shoulder and a long tail into the sample. The surface peak is beleived to he the resul...
متن کاملInvestigation of Thermal Operational Regimes for Diamond Bit Drilling Operations (TECHNICAL NOTE)
This paper reviews existing studies and investigates thermal operational regimes of diamond bit during drilling operations. The operating temperature of the diamond core drill is studied under bench condition and an optimal thermal range are presented. Based on this study, it was noted that glazing of diamond tools is observed at temperatures less than 327°C, and normal wear of diamond tools is...
متن کامل