Statistical mode

Although this exacting statistical mode of evaluation could conceivably involve more than eight total runs for each unit operation, it is a much more desirable starting place than the trial and error method used in the past. 

For many years this laboratory has been studying the interactions of concanavalin A (con A), a carbohydrate binding protein of considerable interest (X—4 ), with simple and complex carbohydrates (578)- It was established that compared to monosaccharides, oligosaccharides composed of a- (l- -2)-linked D-roannose units exhibited an enhanced affinity for con A (9). This increased affinity for con A was explained both in terms of an extended binding site (5,10) and a statistical mode (11). 

We can also find the statistical mode, o, the most probable strength value for a given distribution. Consider the mean fiber strength (Eq. 10.8) again... 

For /3>1, we shall have 0.881.0. This means that we can regard the quantity as the reference level strength. To find the statistical mode, a, the most probable strength value, we proceed as follows. The Weibull distribution is... 

Binodal n. Having or relating to two modes especially, having or occurring with two statistical modes. 

Eq. [6]). The ES is the bin distance between the most populated bins or statistical modes ( M in Eq. [6]) of the comparison histogram divided by half of the average of the two distributions of individual SE values. For example, if for one database the molecular weight histogram had its most populated bin at bin number 13, and the database to which the first was being compared had its most populated bin number at bin 27 (with all histogram parameters held constant), the intermode bin distance, or Ma - Mb, would be 14. 

In statistical mechanics (e.g. the theory of specific heats of gases) a degree of freedom means an independent mode of absorbing energy by movement of atoms. Thus a mon-... 

Andersen H C and Chandler D 1970 Mode expansion in equilibrium statistical mechanics I. General theory and application to electron gas J. Chem. Phys. 53 547... 

Chandler D and Andersen H C 1971 Mode expansion in equilibrium statistical mechanics II. A rapidly convergent theory of ionic solutions J. Chem. Phys. 54 26... 

Andersen H C and Chandler D 1971 Mode expansion in equilibrium statistical mechanics III. 

A reactive species in liquid solution is subject to pemianent random collisions with solvent molecules that lead to statistical fluctuations of position, momentum and internal energy of the solute. The situation can be described by a reaction coordinate X coupled to a huge number of solvent bath modes. If there is a reaction... 

IVR in tlie example of the CH clnomophore in CHF is thus at the origin of a redistribution process which is, despite its coherent nature, of a statistical character. In CHD, the dynamics after excitation of the stretching manifold reveals a less complete redistribution process in the same time interval [97]. The reason for this is a smaller effective coupling constant between the Fenni modes of CHD (by a factor of four) when... 

Cao, J., Voth, G.A. The formulation of quantum statistical mechanics based on the Feynman path centroid density. I. Equilibrium properties. J. Chem. Phys. 100 (1994) 5093-5105 II Dynamical properties. J. Chem. Phys. 100 (1994) 5106-5117 III. Phase space formalism and nalysis of centroid molecular dynamics. J. Chem. Phys. 101 (1994) 6157-6167 IV. Algorithms for centroid molecular dynamics. J. Chem. Phys. 101 (1994) 6168-6183 V. Quantum instantaneous normal mode theory of liquids. J. Chem. Phys. 101 (1994) 6184 6192. 

Distribution Averages. The most commonly used quantities for describing the average diameter of a particle population are the mean, mode, median, and geometric mean. The mean diameter, d, is statistically calculated and in one form or another represents the size of a particle population. It is usefiil for comparing various populations of particles. 

Evans, R, A. 1975, Statistical Independence and Common-Mode Failures, IEEE Trans. Rel., R-24, p289. 

Failure modes analysis Statistical process control Measurement systems analysis Employee motivation On-the-job training Efficiency will increase through common application of requirements for Continuous improvement in cost Continuous improvement in productivity Employee motivation On-the-job training... 

The main objective of the In-Plant Reliability Data System (IPRDS) was to develop a comprehensive and component-specific data base for PRA and other component reliability-related statistical analysis. Data base personnel visited selected plants and copied all the plant maintenance wor)c requests. They also gathered plant equipment lists and plant drawings and in some cases interviewed plant personnel for Information on component populations and duty cycles. Subsequently, the maintenance records were screened to separate out the cases of corrective maintenance applying to particular components these were reviewed to determine such things as failure modes, severity, and, if possible, failure cause. The data from these reports were encoded into a computerized data base. 

Three reports have been issued containing IPRDS failure data. Information on pumps, valves, and major components in NPP electrical distribution systems has been encoded and analyzed. All three reports provide introductions to the IPRDS, explain failure data collections, discuss the type of failure data in the data base, and summarize the findings. They all contain comprehensive breakdowns of failure rates by failure modes with the results compared with WASH-1400 and the corresponding LER summaries. Statistical tables and plant-specific data are found in the appendixes. Because the data base was developed from only four nuclear power stations, caution should be used for other than generic application. 

Note The estimates were in some cases based on different sublets of samples for the different failure modes. This results from tests of statistical consistence among samples, see sect 3.4. 

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