We introduce a new method for estimating the direction in single-index models via distance covariance. Our method keeps model-free advantage as a dimension reduction approach. In addition, no smoothing technique is needed, which enables our method to work efficiently when many predictors are...

The paper proposes a new family of continuous distributions called the extended odd half Cauchy-G. It is based on the T − X construction of Alzaatreh et al. (2013) by consider ing half Cauchy distribution for T and the exponentiated G(x;ξ) as the distribution of X. Several particular cases...

The paper proposes a new family of continuous distributions called the extended odd half Cauchy-G. It is based on the T − X construction of Alzaatreh et al. (2013) by consider ing half Cauchy distribution for T and the exponentiated G(x;ξ) as the distribution of X. Several particular cases...

Various characterizations of the univariate normal distribution are presented.

Characterizations of the uniform distribution based on identically distributed spacings are presented. Copyright Springer-Verlag 2005

We study properties of random fields that form conditional bases and their applications in spatial statistics.

It is well known that i.i.d. (independent and identically distributed) normal random variables are transformed into i.i.d. normal random variables by any orthogonal transformation. Less well known are nonlinear transformations with the above-mentioned property. In this work we present nonlinear...