The commonly employed classical linear discriminant rule, based on mean and covariance, are highly sensitive to outliers. Therefore, outlier influence location scale estimation will affect the accuracy of a rule lead high misclassification rates. past studies used Mahalanobis Squared Distance (MSD) alleviate problem. However, covariance shortcoming can still distance computation, causing maskin...

We consider two methods of defining a regression analogue to a trimmed mean. The first was suggested by Koenker and Bassett and uses their concept of regression quantiles. Its asymptotic behavior is completely analogous to that of a trimmed mean. The second method uses residuals from a preliminary estimator. Its asymptotic behavior depends heavily on the preliminary estimate; it behaves, in gen...

Denoising is a fundamental problem in image processing. Mixed noise removal from natural images is a challenging task since the noise distribution usually does not have a parametric model and has a heavy tail. Two types of commonly encountered noise are additive white Gaussian noise (AWGN) and impulse noise (IN). Many of the existing mixed noise removal methods are detection based methods. They...

A Decision based scheme using a improved mesh based snake like sorting is proposed for the restoration of gray scale images that are heavily corrupted by salt and pepper noise. The proposed algorithm uses modified mean or median for image restoration. The processed pixel is examined for 0 or 255; if checked pixel is equal to 0 or 255, then it is considered as noisy pixel else not noisy. The noi...

217 O diagnosis and treatment planning have recently moved into the digital realm, to the extent that virtual treatment projections have become commonplace. Several proprietary software platforms, including Invisalign ClinCheck,* OrthoCAD iQ,** and Ormco Insignia,*** allow clinicians to modify virtual models that are suspended in space on their computer screens. But there is a significant short...

We present a new weak law of large numbers for dependent heterogeneous triangular arrays fyn;tg with applications to tail trimming. The law follows from a new partial sum moment bound Ej Pn t=1 yn;tj p K Pn t=1 Ejyn;tj p for zero mean Lp-mixingale arrays fyn;t;=tg, p 2 [1; 2], where =t is a -…eld. We do not require uniform integrability, nor restrict mixingale dependence or heterogeneity. The w...

The advent of the era big data has had a profound impact on teaching evaluation. With help statistical knowledge, this paper starts with preprocessing such as trimmed mean and score standardization, further discusses application analysis, consistency correlation, reliability validity in Based mathematical statistics systematic intelligent evaluation model is constructed.