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Generalizations Of Bernoulli s Inequality With Utility-Based Approach
Utility function is one of the most useful tools in mathematical nance, deci-sion analysis and economics. The concept of expected utility is used in economics to describe the behavior of a decision-maker choosing between ...
Dynamic Version of Weighted Cumulative Residual Entropy
Some extensions of Shannon entropy to the survival function have been recently proposed. Misagh et al. (2011) introduced weighted cumulative residual entropy (WCRE) that was studied more by
Mirali et al. (2015). In this paper, dynamic...
Conditional Tsallis Entropy
In this paper, the conditional Tsallis entropy is defined on the basis of the
conditional Renyi entropy. Regarding the fact that Renyi entropy is the
monotonically increasing function of Tsallis entropy, a ...
A new method for generating families of continuous distributions
Quantile based entropy function in past lifetime
On Entropy of a Pareto distribution in the presence of outliers
The aim of this paper is obtaining the amount of information there exists in the Pareto distribution in the presence of outliers. For the sake of this purpose, Shannon entropy, "-entropy, Fisher information and Kullback-Leibler distance are computed...
Tsallis Maximum Entropy Lorenz Curves
curves compatible with the optional side conditions is
generated. Meanwhile, we show that our results reduce to Shannon entropy
as β tends to one. Finally, by using actual data, we compare the maximum
Tsallis entropy Lorenz curve...
Renyi entropy in continuous case is not the limit of discrete case
Shannon entropy is the creation of Shannon (1948) based on the experiences in Bell System Company
during and after the Second World War. Then, Renyi (1961) generalized it for one parameter families of
entropies. This entropy...