Integral representations and asymptotic expansions for Shannon and Renyi entropies

نویسندگان

چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Shannon and Renyi Entropies to Classify Effects of Mild Traumatic Brain Injury on Postural Sway

BACKGROUND Mild Traumatic Brain Injury (mTBI) has been identified as a major public and military health concern both in the United States and worldwide. Characterizing the effects of mTBI on postural sway could be an important tool for assessing recovery from the injury. METHODOLOGY/PRINCIPAL FINDINGS We assess postural sway by motion of the center of pressure (COP). Methods for data reductio...

متن کامل

Shannon and Renyi Entropy of Wavelets

This paper reports a new reading for wavelets, which is based on the classical ’De Broglie’ principle. The waveparticle duality principle is adapted to wavelets. Every continuous basic wavelet is associated with a proper probability density, allowing defining the Shannon entropy of a wavelet. Further entropy definitions are considered, such as Jumarie or Renyi entropy of wavelets. We proved tha...

متن کامل

Shannon Entropy , Renyi Entropy , and Information

This memo contains proofs that the Shannon entropy is the limiting case of both the Renyi entropy and the Tsallis entropy, or information. These results are also confirmed experimentally. We conclude with some general observations on the utility of entropy measures. A brief summary of the origins of the concept of physical entropy are provided in an appendix.

متن کامل

Inequalities for Shannon entropies and Kolmogorov complexities

The paper investigates connections between linear inequalities that are valid for Shannon entropies and for Kolmogorov complexities.

متن کامل

Fourier Expansions and Integral Representations for Genocchi Polynomials

In this paper, by using the Lipschitz summation formula, we obtain Fourier expansions and integral representations for the Genocchi polynomials. Some other new and interesting results are also shown.

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Applied Mathematics Letters

سال: 1998

ISSN: 0893-9659

DOI: 10.1016/s0893-9659(98)00013-5