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This difference is obtained for the Weibull model, under which the estimated probability of this distribution falling within an observable values interval is not far from 1.
These scenarios are defined by a set of parameters: the parameters of the time-to-onset distribution, the probability of this distribution falling within an observable values interval and the sample size.
For a chosen value of p, with p representing the probability of X falling within the observable values interval [0, τ], the parameter τ was determined as P (X< τ) = p. The probability 1 - p is also a lower bound of the actual proportion of truncated data P (X> T), the truncation time T being randomly generated.
For a finite sample size, the simulations show that, whatever the approach, naive or truncation-based, the parametric maximum likelihood estimator may be positively biased and that this bias and the corresponding mean squared error increase when the theoretical probability p for the time-to-onset to fall within the observable values interval decreases.
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In the region with small n values, intervals of the quantum levels become small.
Importantly, our generalized rules are conjuncts of the values (intervals of values) of physicochemical properties of amino acids.
Experiment results are within the whole taking value interval after changing the parameter of NBP.
Mathematical expressions and solution procedure are developed to produce the uncertain-but-bounded statistical characteristics of responses, namely interval mean value, interval standard deviation and bounding distribution functions.
Using natural break classification, IIC value interval was set as 0 0.75, 0.75 2.50, 2.50 49.00 according to differentiate importance rating.
By introducing the interval algorithm into the dynamic analysis of vehicle-bridge interaction system, the expressions of the midpoint value, interval width, lower and upper bounds of interval bridge dynamic response are developed.
Table 11 and Fig. 18 show that experiment results are within the whole taking value interval after changing the parameter of r.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com