The most significant aspect of a geochemical exploration program is to define and separate the anomalous values from the background. In the past decades, geochemical anomalies have been identified by means of various methods. Most of the conventional statistical methods aiming at defining the geochemical concentration thresholds for separating anomalies from the background have limited the effi...

Lin, Qun Ph.D., Purdue University, December 2013. A Jackknife Empirical Likelihood Approach To Goodness of Fit U-Statistic Testing With Side Information. Major Professor: Hanxiang Peng. Motivated by applications to goodness of fit U-statistic testing, the jackknife empirical likelihood (JEL) of Jing, et al. (2009) is justified with an alternative approach, and the Wilks theorem for vector U-sta...

this study aims at analyzing spatial pattern and associations of fagus oriantalis lipsky in different vertical classes in intact beech forests. data collection was done in 25 ha plot in gorazbon district of educational and experimental forests of university of tehran. species and dbh of all trees with dbh > 7.5 cm were recorded. the location of each tree was determined using azimuth and distanc...

When it is not possible to obtain the analytical null distribution of a test statistic U , Monte Carlo hypothesis tests can be used to perform the test. Monte Carlo tests are commonly used in a wide variety of applications, including spatial statistics, and biostatistics. Conventional Monte Carlo tests require the simulation of m independent copies from U under the null hypothesis, what is comp...

This paper applies asymptotic and bootstrap inference methods for a set of non-linear inequality and progressivity indices. The non-degenerate U-statistic theory is applied to indices which are functions of several U-statistics. Generally, U-statistic variance estimators are difficult to compute. Formulae for a straightforward plug-in estimator of index variances have been derived. This is espe...

In this paper, we investigate the asymptotic theory for U -statistics based on sample spacings, i.e. the gaps between successive observations. The usual asymptotic theory for U -statistics does not apply here because spacings are dependent variables. However, under the null hypothesis, the uniform spacings can be expressed as conditionally independent Exponential random variables. We exploit th...