State-value weighted entropy as a measure of investment risk

Ultrasound Detection of Scatterer Concentration by Weighted Entropy

“…However, this does not indicate that the symbols in the message are inadequate for interpreting information. As mentioned in the Introduction, the standard entropy may lose some information, resulting in inferior performance in information analysis [27][28][29]. We must thus reexamine the definition of entropy and assume that the symbols in the message or some subjective factors may play vital roles in quantifying information.…”

“…Some previous studies have reported that weighted entropy demonstrates more efficient performance in information analysis and recognition than the standard entropy does [27][28][29]31]. The above-mentioned literatures [27][28][29]31] indicated that a weighted scheme has merit and may be used to sensitize the response of the entropy to the change in the properties of the backscattered data. Therefore, we explored the following fundamental questions in this study: (i) how can the weighting technique be used to improve the sensitivity of ultrasound entropy in detecting the number densities of scatterers?…”

“…Compared with the conventional Shannon entropy, weighted entropy is the measure simultaneously considering the objective probabilities and some subjective weights [30]. Some previous studies have reported that weighted entropy demonstrates more efficient performance in information analysis and recognition than the standard entropy does [27][28][29]31]. The above-mentioned literatures [27][28][29]31] indicated that a weighted scheme has merit and may be used to sensitize the response of the entropy to the change in the properties of the backscattered data.…”

“…A low sensitivity of parameter during the process of detecting the scatterer concentration limits the performance of characterizing tissues. Some studies conducted in other fields have indicated that the standard entropy measure may lose some of the vital information [27,28] and may provide only a binary decision or classification (e.g., good or bad, normal or abnormal) [29]. Compared with the conventional Shannon entropy, weighted entropy is the measure simultaneously considering the objective probabilities and some subjective weights [30].…”

Possibilistic Sharpe Ratio Based Novice Portfolio Selection Models

“…The popular risk measure Value at Risk (Castellacci and Siclari [16], Philippe [17]) is in fact an alternative expression of the definition by Roy [15]. Different authors like Philippatos and Wilson [18], Philippatos and Gressis [19], Nawrocki and Harding [20], Simonelli [21], Huang [22], Qin et al [23], Bhattacharyya et al [10] use entropy as an alternative measure of risk to replace variance proposed by Markowitz [1].…”