[图书][B] Fractals and multifractals in ecology and aquatic science

L Seuront - 2009 - taylorfrancis.com
Ecologists sometimes have a less-than-rigorous background in quantitative methods, yet
research within this broad field is becoming increasingly mathematical. Written in a step-by …

Superstatistical and DNA sequence coding of the human genome

MO Costa, R Silva, D Anselmo - Physical Review E, 2022 - APS
In this work, by considering superstatistics we investigate the short-range correlations
(SRCs) and the fluctuations in the distribution of lengths of strings of nucleotides. To this …

Information decomposition method to analyze symbolical sequences

EV Korotkov, MA Korotkova, NA Kudryashov - Physics Letters A, 2003 - Elsevier
The information decomposition (ID) method to analyze symbolical sequences is presented.
This method allows us to reveal a latent periodicity of any symbolical sequence. The ID …

Robustness and Accuracy of Methods for High Dimensional Data Analysis Based on Student's t-Statistic

A Delaigle, P Hall, J Jin - Journal of the Royal Statistical Society …, 2011 - academic.oup.com
Student'st-statistic is finding applications today that were never envisaged when it was
introduced more than a century ago. Many of these applications rely on properties, eg …

The fractional oscillator process with two indices

SC Lim, LP Teo - Journal of Physics A: Mathematical and …, 2009 - iopscience.iop.org
We introduce a new fractional oscillator process which can be obtained as a solution of a
stochastic differential equation with two fractional orders. Basic properties such as fractal …

[图书][B] Mathematics of genome analysis

JK Percus - 2002 - books.google.com
The massive research effort known as the Human Genome Project is an attempt to record
the sequence of the three trillion nucleotides that make up the human genome and to …

Nonextensive statistical approach to non-coding human DNA

T Oikonomou, A Provata, U Tirnakli - Physica A: Statistical Mechanics and …, 2008 - Elsevier
We use q-exponential distributions, which maximize the nonextensive entropy Sq (defined
as Sq≡(1−∑ ipiq)/(q− 1)), to study the size distributions of non-coding DNA (including …

Analysis of human DNA through power-law statistics

MO Costa, R Silva, D Anselmo, JRP Silva - Physical Review E, 2019 - APS
We report an analysis of Homo sapiens DNA through the formalism of κ statistics, which
encompasses power-law correlations and provides an optimization principle that permits us …

Phase transition in random walks with long-range correlations

S Hod, U Keshet - Physical Review E—Statistical, Nonlinear, and Soft …, 2004 - APS
Motivated by recent results in the theory of correlated sequences, we analyze the dynamics
of random walks with long-term memory (binary chains with long-range correlations). In our …

Markov chain order estimation with conditional mutual information

M Papapetrou, D Kugiumtzis - Physica A: Statistical Mechanics and its …, 2013 - Elsevier
We introduce the Conditional Mutual Information (CMI) for the estimation of the Markov chain
order. For a Markov chain of K symbols, we define CMI of order m, Ic (m), as the mutual …