Outliers are observations that significantly different from the other in a dataset. These types of asymmetric nature due to lack symmetry. The estimation cumulative distribution function (CDF) is an important statistical measure commonly discussed for symmetric datasets. However, CDF case dataset not much-explored topic. In this article, we use calibration methodology with auxiliary information...

Abstract We consider estimation of the cumulative incidence function (CIF) in competing risks Cox model. study three methods. Methods 1 and 2 are existing methods while method 3 is a newly proposed method. Method constructed so that sum CIF’s across all event types at last observed time guaranteed, assuming no ties, to be equal 1. The performance examined via simulation, they illustrated on dat...

An improved nonparametric estimator of the cumulative distribution function (CDF) and the survival function is proposed using infinite-order kernels. Fourier transform theory on generalized functions is utilized to obtain the improved bias estimates. The new estimators are analyzed in terms of their relative deficiency to the empirical distribution function and Kaplan-Meier estimator, and even ...

ABSTRACT The Etherington distance duality relation is well-established for metric theories of gravity, and confirms the between luminosity angular diameter through conservation surface brightness. A violation due to lensing in a non-metric space–time would lead fluctuations brightness galaxies. Likewise, can arise classical astrophysics as consequence intrinsic tidal interaction galaxies with t...

PURPOSE With the goal of eventually restoring functional vision in patients with retinal degenerative diseases, USC/Second Sight Medical Products, Inc. chronically implanted blind human subjects with a prototype epiretinal prosthesis consisting of a 4 x 4 array of 16 stimulating electrodes. To accurately represent a visual scene, a visual prosthesis must convey luminance information across a ra...