Fidelity criteria

The significance of the rate-distortion function stems from the source coding theorem with a fidelity criterion, which states that for any stationary ergodic source and accompanying distortion measure, if we are given a distortion d for which R d) is defined, and a value 5 > 0, then there exists a fixed-length code of rate... 

A measure of the fidelity of the best set polynomial for the approxi-mation of In —f can be made through the criterion of least squares. We... 

Before adopting statistical tests to assess the reliability of data, outliers should be first analyzed carefully to identify any anomaly in instrament fidelity, calibration, procedure, environmental conditions, recording, etc. The first objective is to reject an outlier based on physical evidence that the data point was unrepresentative of the sample population. If this exercise fails to identify probable cause (or if details on the experimental methods are unavailable), Chauvenet s criterion may be applied to assess the reliability of the data point (Holman 2001). Simply put, the criterion reconunends rejecting a data point if the probability of obtaining the deviation is less than the reciprocal of two times the number of data points—l/(2n). For an outlier smaller than the mean, the data point may be rejected when ... 

A criterion which has been mentioned in literature as prerequisite to use multiple regression is the normal distribution of independent and dependent variables (Tabachnick and Fidell 1989). However, scholars point out that normality is oniy important in smaller sample sizes C ait ot al. 1998) or that researchers are... 

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