In this paper we discuss goodness of fit tests for the distribution of technical inefficiency in stochastic frontier models. If we maintain the hypothesis that the assumed normal distribution for statistical noise is correct, the assumed distribution for technical inefficiency is testable. We show that a goodness of fit test can be based on the distribution of estimated technical efficiency, or...

* This work is supported by National Natural Science Foundation of China (No. 61073178) and Beijing Natural Science Foundation (No. 4112064). The abridged version of this paper was accepted by Chinese Journal of Electronics on June 20, 2011 after anonymous peer reviews, and will appear in 2012. ♀Corresponding Author(e-mail: [email protected]) Abstract: Construction and evaluation of efficient ...

BACKGROUND The problem considered is the quantitative comparison of immunofluorescence frequency distributions in order to detect their differences of biological significance, i.e., to evaluate the potential positivity of a cell sample with respect to negative control cells. The Kolmogorov-Smirnov (KS) statistical test, proposed in the literature for this purpose, is examined and discussed thro...

We present a two-dimensional version of the classical one-dimensional Kolmogorov– Smirnov (K-S) test, extending an earlier idea due to Peacock (1983) and an implementation proposed by Fasano & Franceschini (1987). The two-dimensional K-S test is used to optimise the goodness of fit in an iterative source-detection scheme for astronomical images. The method is applied to a ROSAT/HRI x-ray image ...

1 Some Basic Theory 1 1.1 Consistency and Unbiasedness at a Point . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1.2 The Kolmogorov–Smirnov Statistic . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 1.3 Order Statistics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 1.4 Proof of the Kolmogorov–Smirnov Theorem . . ....

The paper mainly focuses on the statistical dependence/independence relationship existing in the Rössler map and on the possibility to sample the chaotic system to obtain experimental data complying with the i.i.d. model (data coming out from independent and identically distributed random variables). The overall investigation relies on Smirnov tests on two experimental data sets, a Monte Carlo ...