• Article  

      A simple method for obtaining the maximal correlation coefficient and related characterizations 

      Papadatos, Nickos; Xifara, Tatiana (2013)
      We provide a method that enables the simple calculation of the maximal correlation coefficient of a bivariate distribution, under suitable conditions. In particular, the method readily applies to known results on order ...
    • Article  

      Some counterexamples concerning maximal correlation and linear regression 

      Papadatos, Nickos (2014)
      A class of examples concerning the relationship of linear regression and maximal correlation is provided. More precisely, these examples show that if two random variables have (strictly) linear regression on each other, ...
    • Article  

      Strengthened Chernoff-type variance bounds 

      Afendras, Georgios; Papadatos, Nickos (2014)
      Let X be an absolutely continuous random variable from the integrated Pearson family and assume that X has finite moments of any order. Using some properties of the associated orthonormal polynomial system, we provide a ...
    • Article  

      The use of spacings in the estimation of a scale parameter 

      Balakrishnan, N.; Papadatos, Nickos (2002)
      Linear functions on spacings-instead of linear functions on order statistics-are considered, in order to simplify the form of best linear unbiased estimators (BLUEs) and best linear invariant estimators (BLIEs) for the ...
    • Article  

      Variance inequalities for covariance kernels and applications to central limit theorems 

      Cacoullos, Theophilos; Papadatos, Nickos; Papathanasiou, Vassilis (1997)
      A simple estimate for the error in the CLT, valid for a wide class of absolutely continuous r.v.'s, is derived without Fourier techniques. This is achieved by using a simple convolution inequality for the variance of ...
    • Article  

      Variational Inequalities for Arbitrary Multivariate Distributions 

      Papadatos, Nickos; Papathanasiou, Vassilis (1998)
      Upper bounds for the total variation distance between two arbitrary multivariate distributions are obtained in terms of the correspondingw-functions. The results extend some previous inequalities satisfied by the normal ...