For some special values of p, Σ1 and Σ2 we obtain explicit formulas and inequalities for the probabilities of misclassification.
More generally, as one varies all the logical possibilities for the probabilities of these three potential outcomes, the players' expected disagreement payoffs will span the entire triangle between the three points colored in red, blue, or both colors.
We provide closed-form expressions for the probabilities in Wei's [1997. A class of designs for requential clinical trials. J. Amer. Statist. Assoc.
Two adaptive detectors, i.e., generalized likelihood ratio and adaptive matched filter, are then adopted, and their expressions for the probabilities of false alarm and detection are provided.
It is important that proper estimates are made for the probabilities of the occurrence of failures, as well as for their effects.
Here, the court emphasizes that GAAP accounting and fair valuation are not identical, and that the latter must also account for the probabilities that the liability will ever be recognized.
We provide a set of analytically derived upper bounds for the probabilities of false alarm and missed detection, which are used to design threshold tests without the need for computationally intensive Monte Carlo simulations.
A specialized Monte-Carlo routine was integrated into the charged-particle transport calculations to allow accounting for the probabilities of positron re-emission and backscattering from multiple-bank moderator/converter configurations.
Closed-form expressions for the probabilities of false alarm and detection of the CC detector are derived, which are employed to quantify to what extent the noise in the RC and the direct-path interference in the SC should be suppressed in order to achieve a targeted performance loss of the CC detector relative to the MF.
To ensure nonnegativity for the probabilities, the exponential of xβ m is used.
where w s,w c, and w t are weights for the probabilities of success, collision, and timeout, respectively.
