This is the first of a series of papers treating randomly sampled random processes. Spectral analysis of the resulting samples presupposes knowledge of the statistics of 1 t~}, the random point process whose variates represent the sampling times. We introduce a class of s ta t ionary point processes, whose s ta t ionar i ty (as characterized by any of several equivalent criteria) leads to wide-...

Usually, the t-dimensional spectral test for linear congruential generators examines the lattice structure of all the points formed by taking t successive values in the sequence. In this paper, we consider the case where the t values taken are not successive, but separated by lags that are chosen a priori. For certain classes of linear congruential and multiple recursive generators, and for cer...

Exposure to ion and micrometeoroid bombardment in the space environment causes physical and chemical changes in the surface of an airless planetary body. These changes, called space weathering, can strongly influence a surface’s optical characteristics, and hence complicate interpretation of composition from reflectance spectroscopy. Prior work using data from the Dawn spacecraft (Pieters, C.M....

The presence of small amounts of weakly immobilized probes can result in large systematic errors in the measurement of correlation times (tau r) from saturation transfer EPR spectra. However, we have recently developed experimental methodology to minimize these errors (Squier and Thomas, Biophys. J., 49:921-935). In the present study we have applied this methodology to the measurement of the ro...

Using wheat germ acid phosphatase and sodium orthovanadate as a competitive inhibitor, a novel method for analyzing reversible inhibition was carried out. Our alternative approach involves plotting the initial velocity at which product is formed as a function of the ratio of substrate concentration to inhibitor concentration at a constant enzyme concentration and constant assay conditions. The ...

For the issue of the lack in plotting analysis method in the research of DEA, this paper introduces a new graphic method—Co-Plot. It can demonstrate DMUs and variables visually in two-dimensional space, and enable the analysis of them at the same time. By applying the ratio relationship among variables, Co-Plot can be combined with DEA in a way to display the results of DEA easily and intuitive...

The drilling time data of gas logging are used to calculate drilling time ratio of the reservoir, and the total hydrocarbon data are used to calculate hydrocarbon contrast coefficient and to establish the drilling time ratio--hydrocarbon contrast coefficient crossplot. The standards of distinguishing the boundaries of hydrocarbon zones, hydrocarbonaceous water layers and dry layers are determin...

Consider lattice paths in Z2 with three step types: the up diagonal (1, 1), the down diagonal (1,−1), and the double horizontal (2, 0). For n ≥ 1, let Sn denote the set of such paths running from (0, 0) to (2n, 0) and remaining strictly above the x-axis except initially and terminally. It is well known that the cardinalities, rn = |Sn|, are the large Schröder numbers. We use lattice paths to in...

Statistical analyses of the relationship between visible and near-infrared (VNIR) spectra and soil parameters usually require the normal distribution of wavelength variables. Most previous studies examined only the distribution of soil parameters, while the distribution of each VNIR spectra wavelength was ignored. Moreover, how the sample preparation process and spectral pre-processing procedur...