Some statistics in common use take a form of a ratio of two statistics such as sample correlation coefficient, Pearson’s coefficient of variation and so on. In this paper, obtaining an asymptotic representation of the ratio statistic until the third order term, we will discuss asymptotic mean squared errors of the ratio statistics. We will also discuss bias correction of the sample correlation ...

Kriging, in the scientific literature, is used as a name for the theory of prediction in random processes (random fields) with an unknown mean value and, possibly, with an unknown covariance function. M. Stein in a series of articles (1988), (1990a), (1990b) and (1990c) studies the case when the unknown covariance function of the observed process is misspecified, but not estimated from the data...