Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Maximization of Mathai's Entropy under the Constraints of Generalized
  Gini and Gini mean difference indices and its Applications in Insurance   Statistical Physics, Diffusion Entropy Analysis and Information Theory
commonly use Mathai's entropy which measures the randomness of probability
laws, whereas welfare economics and the Social Sciences commonly use Gini index
which measures the evenness of probability laws. Motivated by the principle of
maximal entropy, we explore the maximization of Mathai's entropy subject to the
conditions in the following scenarios: (i) the conditions of a density function
and fixed mean; (ii) the conditions of a density function and fixed Generalized
Gini index. We also maximizes the Mathai's entropy subject to the constraints
of a given Gini mean difference index and the conditions of a density function.
The obtained maximum entropy distribution is fitted to the loss ratios (yearly
data) for earthquake insurance in California from 1971 through 1994 and its
performance with some one-parameter distributions are compared.

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The categories of this paper are: cond-mat
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The categories of this paper are: ao-sci
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The categories of this paper are: nucl-th
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The categories of this paper are: gr-qc
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The categories of this paper are: q-bio
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The categories of this paper are: hep-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: cs
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The categories of this paper are: adap-org
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-lat
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The categories of this paper are: acc-phys
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The categories of this paper are: comp-gas
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The categories of this paper are: supr-con
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The categories of this paper are: mtrl-th