Hassen Mohamed - Academia.edu (original) (raw)
Uploads
Papers by Hassen Mohamed
Two approaches for constructing control charts to monitor multivariate attribute processes when d... more Two approaches for constructing control charts to monitor multivariate attribute processes when data is presented in linguistic form are suggested. Two monitoring statistics T \(^{\rm 2}_{f}\) and W 2 are developed based on fuzzy and probability theories. The first is similar to the Hotteling’s T 2 statistic and is based on representative values of fuzzy sets. The W 2 statistic, being a linear combination of dependent chi-square variables, its distribution is derived by Satterthwaite’s approximation. Resulting multivariate control charts are compared based on the average run length (ARL). A numerical example is given to illustrate the application of the proposed multivariate control charts and the interpretation of out-of-control signals.
Bookmarks Related papers MentionsView impact
Journal of Applied Statistics, 2010
Control charts for residuals, based on the regression model, require a robust fitting technique f... more Control charts for residuals, based on the regression model, require a robust fitting technique for minimizing the error resulting from the fitted model. However, in the multivariate case, when the number of variables is high and data become complex, ...
Bookmarks Related papers MentionsView impact
Integral Transforms and Special Functions, 2003
We consider the Dunkl operator Λα on ℝ of index (α+ 1/2) associated with the reflection group ℤ2,... more We consider the Dunkl operator Λα on ℝ of index (α+ 1/2) associated with the reflection group ℤ2, and the harmonic analysis associated with this operator. In this paper we establish properties of the Dunkl transform and Dunkl convolution product on new spaces ...
Bookmarks Related papers MentionsView impact
Cretaceous Research, 2009
Bookmarks Related papers MentionsView impact
Two approaches for constructing control charts to monitor multivariate attribute processes when d... more Two approaches for constructing control charts to monitor multivariate attribute processes when data is presented in linguistic form are suggested. Two monitoring statistics T \(^{\rm 2}_{f}\) and W 2 are developed based on fuzzy and probability theories. The first is similar to the Hotteling’s T 2 statistic and is based on representative values of fuzzy sets. The W 2 statistic, being a linear combination of dependent chi-square variables, its distribution is derived by Satterthwaite’s approximation. Resulting multivariate control charts are compared based on the average run length (ARL). A numerical example is given to illustrate the application of the proposed multivariate control charts and the interpretation of out-of-control signals.
Bookmarks Related papers MentionsView impact
Journal of Applied Statistics, 2010
Control charts for residuals, based on the regression model, require a robust fitting technique f... more Control charts for residuals, based on the regression model, require a robust fitting technique for minimizing the error resulting from the fitted model. However, in the multivariate case, when the number of variables is high and data become complex, ...
Bookmarks Related papers MentionsView impact
Integral Transforms and Special Functions, 2003
We consider the Dunkl operator Λα on ℝ of index (α+ 1/2) associated with the reflection group ℤ2,... more We consider the Dunkl operator Λα on ℝ of index (α+ 1/2) associated with the reflection group ℤ2, and the harmonic analysis associated with this operator. In this paper we establish properties of the Dunkl transform and Dunkl convolution product on new spaces ...
Bookmarks Related papers MentionsView impact
Cretaceous Research, 2009
Bookmarks Related papers MentionsView impact