Generalized information functions
Reads0
Chats0
TLDR
The concept of information functions of type β (β > 0) is introduced and by means of these information functions the entropies of typeβ are defined, which have a number of interesting algebraic and analytic properties similar to Shannon's entropy.Abstract:
The concept of information functions of type β ( β > 0) is introduced and discussed. By means of these information functions the entropies of type β are defined. These entropies have a number of interesting algebraic and analytic properties similar to Shannon's entropy. The capacity of type β ( β > 1) of a discrete constant channel is defined by means of the entropy of type β . Examples are given for the computation of the capacity of type β , from which the Shannon's capacity can be derived as the limiting case β = 1.read more
Citations
More filters
Posted Content
Renyi extrapolation of Shannon entropy
TL;DR: For any N-point discrete probability distribution for which the Renyi entropies of order two and three are known, a lower and an upper bound for the Shannon entropy are provided in this article.
Journal ArticleDOI
Estimating diversity and entropy profiles via discovery rates of new species
Anne Chao,Lou Jost +1 more
TL;DR: In this article, the authors proposed an analytic method to obtain accurate, continuous, low-bias diversity and entropy profiles with focus on low orders of q (0, 1, 2, 3, 4).
Journal ArticleDOI
The Nonadditive Entropy Sq and Its Applications in Physics and Elsewhere: Some Remarks
TL;DR: The nonadditive entropy Sq has been introduced in 1988 focusing on a generalization of Boltzmann–Gibbs (BG) statistical mechanics, and some relevant aspects of this entropy are reviewed and commented on.
Journal ArticleDOI
Image thresholding using two-dimensional Tsallis-Havrda-Charvát entropy
Prasanna K. Sahoo,Gurdial Arora +1 more
TL;DR: A thresholding technique based on two-dimensional Tsallis-Havrda-Charvat entropy is presented, demonstrating the effectiveness of the proposed method by using examples from the real-world and synthetic images.
Journal ArticleDOI
Entropy of Type (a, ß) and Other Generalized Measures in Information Theory.
Bhu Dev Sharma,Inder Jeet Taneja +1 more
TL;DR: Two types of generalizations of Chaundy and McLeod's functional equation have been proposed in this paper, which leads to a new measure of entropy, which includes Daroczy's entropy of type β as a particular case.
References
More filters
Book
Transmission of information
Robert M. Fano,W. T. Wintringham +1 more
TL;DR: A warning device associated with arotatable body comprising means on the rotatable body for creating a magnetic field, a receiving coil on a relatively stationary member arranged such that a warning is given upon occurrence of a predetermined condition, such as pressure of a vehicle wheel deviating outside a predetermined limit.