Statistics specificity

Import quantities of dioctyl phthalates were about 4 million pounds in 1998. No data were located regarding past import volumes of DEHP or the di octyl phthalates. Exports of dioctyl phthalates have been about 14 27 million pounds per year from 1994 to 1998 (Mannsville Chemical Products Corporation 1999). Import/export statistics specific for DEHP were not located. 

However, it is important to understand that nonrandom samples can confirm the presence of a substance but not its absence. Also, while they can confirm presence, they cannot confirm (or estimate statistically) specific quantities. 

Boson - A particle that obeys Bose-Einstein Statistics specifically, any particle with spin equal to zero or an integer. This includes... 

Since R(t) is Gaussian white noise, Bj (At) is a Gaussian random variable with simple statistics. Specifically [3.47]... 

The density operator p(f) is a generalized wave function which describes a so-called mixed state. This state corresponds to a statistical ensemble of quantum-mechanical objects, which in our case is a collection of nuclei with magnetic moments. Therefore, the statistics specific of these objects and the statistics of an ensemble are simultaneously present. 

Selectivity with respect to reagents leads to specificity with respect to products, exemplified by non-statistical branching ratios, anisotropy of angular distribution and "surprising" product state distributions. The importance of vector correlations (from crossed beam experiments with polarized laser-induced fluorescence detection) is touched upon, as well as the subject of polarized laser photofragmentation dynamics (half-collisions) leading to (non-statistical) specificity in product polarizations. 

ABSTRACT This paper illustrates the main features of the MUlti-STAte DEgradation Process analysis Tool (MUSTADEPT), a new software tool which allows quantitatively describing the evolution of the degradation process of an industrial equipment, modeled as a discrete-state transport process. Two different, complementary approaches are offered. One is based on statistics, specifically the Maximum Likelihood Estimation (MLE) technique to estimate the parameters of the degradation process model and the Fisher Information Matrix for evaluating the uncertainty associated to the estimates. The other approach relies on information elicited from experts and describes and propagates the associated uncertainty within the DSTE framework. In both cases, the probabilities that the component occupies the different degradation states over time are estimated with the associated uncertainties. 

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