Karyotype and Chiasma Frequency in the Indian Hedgehog,<i>Hemiechinus Auritus Collaris</i>

Sharma, Geeta; Mittal, O. P.; Sobti, Ranbir Chander

doi:10.1080/00087114.1975.10796605

Cited by 23 publications

(22 citation statements)

References 11 publications

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“…In this sense, it cannot always be used in modeling phenomena exhibiting inverse power law behavior. Therefore, there has been an increasing interest in the generalized entropies such as Tsallis [10], Rényi [11] and SharmaMittal (SM) [12] entropies whose stationary solutions are of inverse power law form. Although these different entropy measures yield to inverse power law stationary distributions, they differ from one another in many aspects.…”

Section: Introductionmentioning

confidence: 99%

On the way towards a generalized entropy maximization procedure

Bagci

Tirnakli

2009

Physics Letters A

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We propose a generalized entropy maximization procedure, which takes into account the generalized averaging procedures and information gain definitions underlying the generalized entropies. This novel generalized procedure is then applied to Renyi and Tsallis entropies. The generalized entropy maximization procedure for Renyi entropies results in the exponential stationary distribution asymptotically for q is between [0,1] in contrast to the stationary distribution of the inverse power law obtained through the ordinary entropy maximization procedure. Another result of the generalized entropy maximization procedure is that one can naturally obtain all the possible stationary distributions associated with the Tsallis entropies by employing either ordinary or q-generalized Fourier transforms in the averaging procedure.Comment: 12 pages, no figure

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Section: Introductionmentioning

confidence: 99%

On the way towards a generalized entropy maximization procedure

Bagci

Tirnakli

2009

Physics Letters A

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“…Also, other entropies have been introduced which are described by two or three parameters [10][11][12][13].…”

Section: Introductionmentioning

confidence: 99%

Two-parameter entropies, Sk,r, and their dualities

Asgarani

Mirza

2015

Physica A: Statistical Mechanics and its Applications

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“…Finally, accounting for the solution (2.5), the entropy (2.1) assumes the form 6) which recovers, in the limit (κ, r) → (0, 0), the Shannon-Boltzmann-Gibbs entropy S = − p(x) ln p(x) dx. This entropic form, introduced previously in literature in [13,14,15], is known as the Sharma-Taneja-Mittal information measure and has been applied recently in the formulation of a possible thermostatistics theory [16,17].…”

Section: Deformed Logarithms and Exponentialsmentioning

confidence: 99%

A mechanism to derive multi-power law functions: An application in the econophysics framework

Scarfone

2007

Physica A: Statistical Mechanics and its Applications

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It is generally recognized that economical systems, and more in general complex systems, are characterized by power law distributions. Sometime, these distributions show a changing of the slope in the tail so that, more appropriately, they show a multi-power law behavior. We present a method to derive analytically a two-power law distribution starting from a single power law function recently obtained, in the frameworks of the generalized statistical mechanics based on the Sharma-TanejaMittal information measure. In order to test the method, we fit the cumulative distribution of personal income and gross domestic production of several countries, obtaining a good agreement for a wide range of data.

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Karyotype and Chiasma Frequency in the Indian Hedgehog,Hemiechinus Auritus Collaris

Cited by 23 publications

References 11 publications

On the way towards a generalized entropy maximization procedure

On the way towards a generalized entropy maximization procedure

Two-parameter entropies, Sk,r, and their dualities

A mechanism to derive multi-power law functions: An application in the econophysics framework

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