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Probability Density Functions
Probability density functions are defined, and the main statistical indicators (average, variance, etc.) are extended from the discrete to the...
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Biophysical model for DNA mutations induced by retroviral genome insertion based on the probability density function of mutation distribution
Research into the biophysical properties of deoxyribonucleic acid (DNA) and the mechanisms underlying genetic mutations has undergone marked...
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A Gauge-Invariant Lagrangian Determined by the n-Point Probability Density Function of a Vorticity Field of Wave Optical Turbulence
AbstractThe geometric methods for Yang–Mills fields of gauge transformations are applied to find an invariant Lagrangian in the fiber bundle of the...
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Probability Distributions as Alternatives of the Density Operator and Wave Function for Describing Quantum States
OurWave function goal is to discuss Born’s rule and the probability representationProbability representation of quantum mechanics. We review the...
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Analysis of optimization methods for nonparametric estimation of probability density in large samples
The article proposes a procedure for selecting the blur factor of kernel functions for nonparametric density estimation of a one-dimensional random...
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Analysis of a multiply delayed stochastic Ebola model based on probability density function with case study
In this study, we introduce a new version of the SIQC epidemic model, focusing on Ebola infection dynamics and emphasizing time-delay effects. We...
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Constructing probability density function of net-proton multiplicity distributions using Pearson curve method
The probability density functions of proton, anti-proton, and net-proton multiplicity distributions are constructed from the Beam Energy Scan results...
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Fast Selection of Bandwidths for Nonparametric Estimation of the Probability Density of a Two-Dimensional Random Variable with Dependent Components
AbstractA method for fast selection of bandwidths of kernel functions in the nonparametric estimation of a two-dimensional random variable with...
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Quick Selecting Kernel Blur Coefficients to Estimate Probability Density for Independent Random Variables
AbstractA technique to select fast blur coefficients of kernel functions is proposed to proceed with a nonparametric estimation of the probability...
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Optimization of the Kernel Probability Density Estimation of a Two-Dimensional Random Variable with Independent Components
The paper studies the problem associated with the optimization of nonparametric probability density estimates, whose relevance is attributed to the...
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Moments of probability density of Hydrogen atom in a cage
There are various information theoretic measures to study many complex systems. Most of the attention has been confined to the study of the free and...
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Estimation of a Nonlinear Functional of the Probability Density of a Three-Dimensional Random Variable to Improve the Computational Efficiency of Nonparametric Decision Rules
AbstractWe propose a method for estimating a nonlinear functional of the probability density of a three-dimensional random variable. This technique...
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Probability of High Intensities of the Light Wave Propagating in a Turbulent Atmosphere
We examine statistics of fluctuations of the laser beam intensity at its propagating in turbulent atmosphere. We are interested in relatively large...
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Density Functional Theory Analysis of Ground State and Evaluation of Transition Probability Parameters for Carbon Mono-Fluoride Molecule
In view of astrophysical application, the ground state molecular parameters such as bond length, dipole moment, rotational constant, harmonic...
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Estimation of a Nonlinear Functional of Probability Density when Optimizing Nonparametric Decision Functions
We propose a method for estimating the nonlinear functional of the probability density of a two-dimensional random variable. The technique applies to...
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Bernoulli Variables, Classical Exclusion Processes and Free Probability
We present a new description of the known large deviation function of the classical symmetric simple exclusion process by exploiting its connection...
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The probability density function of interspike intervals in an FHN model with α-stable noise
In this paper, we expand the paradigmatic Fitzhugh–Nagumo (FHN) model by including α-stable noise and study the firing rate and coherence resonance...
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Density Operator Formalism
The occupation probabilities of energy levels of a macroscopic system in thermodynamic equilibrium are independent of time. The formalism of...
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Bayesian Probability and Inference
Bayes’ theorem is presented with its applications. Bayesian approach to probability is then introduced, with a discussion of possible applications....
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Unitary Transforms of Probability Distributions Describing Quantum States of Two-Level Systems
The probability distributions describing the two-level system (spin-1/2) states and satisfying the kinetic equation equivalent to the Schrödinger...