BACKGROUND A comprehensive understanding of the various aspects of patients' myocardial infarction (MI) experiences may help to guide these patients and their relatives through the many uncertainties they face and help them to stabilize their lives after the disruption they experienced. OBJECTIVES To explore MI patients' experiences of life with MI, the challenges they face during the process...

in this paper, we prove the strong uniform consistency and asymptotic normality of the kernel density estimator proposed by jones [12] for length-biased data.the approach is based on the invariance principle for the empirical processes proved by horváth [10]. all simulations are drawn for different cases to demonstrate both, consistency and asymptotic normality and the method is illustrated by ...

We consider conditioned Galton–Watson trees and show asymptotic normality of additive functionals that are defined by toll functions that are not too large. This includes, as a special case, asymptotic normality of the number of fringe subtrees isomorphic to any given tree, and joint asymptotic normality for several such subtree counts. Another example is the number of protected nodes. The offs...

In this chapter, we will explore various methods for checking Gaussianness of measurements data. Since many statistical models assume normality, so checking if imaging data follows normality is fairly important. Also image smoothing not only increases the smoothness of underlying image intensity values, but it also increases the normality of data.In paper submission to various imaging journals,...

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This paper introduces a new test statistic of Normality which evaluates the cross covariances between choosen Hermite polynomials which are zero under the null hypothesis. The special form of the test leads to a modi ed sphericity statistic and we have called it Hermite Normality Test (SH). We present brie y its asymptotical distribution both under the null and nonnull hypothesis. Large simulat...

‘Normal’ comes from the latin norma, a carpenter’s square, and in mediaeval times meant something at a right angle or perpendicular. A few centuries later it came to mean conforming to a standard and was used in physics to refer to the average of a set of variables. If the variable concerned, such as head size or IQ, is continuous and has a normal distribution, by convention the normal range ha...

The consistency and asymptotic normality of minimum contrast estimation (which includes the maximum likelihood estimation as a special case) is established if the sample is from a renewal process and the observation time tends to innnity. It is shown, that the conditions for consistency and asymptotic normality for maximum likelihood estimation are fulllled if the distribution of the time betwe...

New additional equations for the Newtonian dynamical systems on Riemannian manifolds are found. They supplement the previously found weak normality conditions up to the complete normality conditions for Newtonian dynamical systems.