Dwell time distributions

Maximum (maximized) likelihood is a statistical term that refers to the probability of randomly drawing a particular sample from a population, maximized over the possible values of the population parameters. Selected entries from Methods in Enzymology [vol, page(s)] Theory, 210, 203 testing by simulations, 210, 225 computer applications for, 210, 233 fitting of sums of exponentials to dwell-time distributions, 207, 772 fluorescence data analysis, 210,... 

What is the meaning of these peaked dwell time distributions Mathematically, the dwell time distribution is the convolution of the individual exponential distributions governing the underling state lifetimes [79]. If one of these lifetimes is much longer than the others, we would expect to see a distribution dominated by a single exponential decay. However, if multiple kinetic states have lifetimes of comparable duration, these states can be thought of... 

For a benchmark production speed of 100,000 tablets per hour (Fig. 19), dwell time distribution follows an inverse power relationship, which is expected because dwell time is a reciprocal function of the press speed. In general, all production presses should be qualified with respect to dwell and contact times per benchmark output. Ideally, product development must be done on a laboratory press that can match (in terms of the dwell time) the target production output. 

Pope slotted wiper blades promote plug flow with little back mixing. This minimizes dwell time distribution, ensuring that material flowing through the system has a uniform exposure to process conditions. 

Thus, for a channel with fractal kinetics, equations 3 and 4 imply that the cumulative dwell time distribution has the form... 

Dispersion Methods. The dispersion methods most commonly used in the paint industry are illustrated in Figure 7.11. The single-pass batch procedure (Fig. 7.11 A) is the most common method. Its disadvantage is the broad dwell time distribution and the resulting wide particle size distribution. It is also difficult to control, i.e., productivity falls sharply if the batch has to be treated again to improve its quality. 

Considering the dwell time distribution, the corrected mass concentration of transferred magnetite particles in the receiver tank can be determined by integration of... 

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