# empirical probability

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## empirical probability

[em′pir·ə·kəl ‚präb·ə′bil·əd·ē]
(statistics)
The ratio of the number of times an event has occurred to the total number of trials performed. Also known as a posteriori probability.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
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The empirical probability of the occurrence of the events is determined as the ratio between the number of type A events that happened and the total number of observed events.
For example, among all teams in major league history that ended the season with a winning percentage in the .600 bin (that is, between .590 and .610), the empirical probability of victory when facing an opponent with winning percentage in the .400 bin (that is, between .390 and .410) is observed to be .682.
The Empirical Probability Ratio is a measure of how similar T is with C.
Figure 4 depicts the empirical probability density functions (pdfs) of [rho] observed in the true LoS and NLoS cases.
The CLRT and the score test statistics were performed for a variance shift model for the first observation of each simulated data and 95th percentiles from the empirical distribution of each test statistics were used as threshold values for the test statistics observed on the original data set The empirical probability of type I errors for thresholds derived from the empirical distribution under the null hypothesis are calculated for the corrected likelihood ratio and score test statistics for [alpha] = 0.05 (Tables 1, 2, and 3).
The corresponding empirical probability measures [[??].sub.i], i = 1, ..., K may be easily calculated from the training sets [Y.sub.i,j], where i = 1, ..., K, and [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] are iid observations from the distribution [P.sub.i].
Our goal in this study is to expand on this earlier work by calculating the empirical probability of detecting lynx based on snow-track surveys in areas of known presence.
(2.) Examples include Good and Mayer (1975) and Chamberlain and Rothchild (1981); see Gelman, Katz, and Bafumi (2004) for a review of such methods and their relation to computing the empirical probability of decisiveness.
Assumption 4, which implies that the distribution of the default time [tau] will remain the same under the empirical probability measure P and the martingale measure Q, is required to allow the use of databases containing information about default probabilities in our empirical analysis.

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