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Showing 2 results for Faridrohani
Azam Rastin, Mohammadreza Faridrohani,
Volume 13, Issue 2 (2-2020)
Abstract
The methodology of sufficient dimension reduction has offered an effective means to facilitate regression analysis of high-dimensional data. When the response is censored, most existing estimators cannot be applied, or require some restrictive conditions. In this article modification of sliced inverse, regression-II have proposed for dimension reduction for non-linear censored regression data. The proposed method requires no model specification, it retains full regression information, and it provides a usually small set of composite variables upon which subsequent model formulation and prediction can be based. Finally, the performance of the method is compared based on the simulation studies and some real data set include primary biliary cirrhosis data. We also compare with the sliced inverse regression-I estimator.
Sakineh Dehghan, Mohamadreza Faridrohani,
Volume 15, Issue 2 (3-2022)
Abstract
The concept of data depth has provided a helpful tool for nonparametric multivariate statistical inference by taking into account the geometry of the multivariate data and ordering them. Indeed, depth functions provide a natural centre-outward order of multivariate points relative to a multivariate distribution or a given sample. Since the outlingness of issues is inevitably related to data ranks, the centre-outward ordering could provide an algorithm for outlier detection. In this paper, based on the data depth concept, an affine invariant method is defined to identify outlier observations. The affine invariance property ensures that the identification of outlier points does not depend on the underlying coordinate system and measurement scales. This method is easier to implement than most other multivariate methods. Based on the simulation studies, the performance of the proposed method based on different depth functions has been studied. Finally, the described method is applied to the residential houses' financial values of some cities of Iran in 1397.
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