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Interpretable Transformed ANOVA Approximation on the Example of the Prevention of Forest Fires

open access: yesFrontiers in Applied Mathematics and Statistics, 2022
The distribution of data points is a key component in machine learning. In most cases, one uses min-max-normalization to obtain nodes in [0, 1] or Z-score normalization for standard normal distributed data. In this paper, we apply transformation ideas in
Daniel Potts, Michael Schmischke
doaj   +1 more source

The Existence, Uniqueness, and Carathéodory’s Successive Approximation of Fractional Neutral Stochastic Differential Equation

open access: yesFractal and Fractional, 2022
The existence, uniqueness, and Carathe´odory’s successive approximation of the fractional neutral stochastic differential equation (FNSDE) in Hilbert space are considered in this paper.
Xiaolin Yuan   +4 more
doaj   +1 more source

A comparison of strategies for Markov chain Monte Carlo computation in quantitative genetics

open access: yesGenetics Selection Evolution, 2008
In quantitative genetics, Markov chain Monte Carlo (MCMC) methods are indispensable for statistical inference in non-standard models like generalized linear models with genetic random effects or models with genetically structured variance heterogeneity ...
Sorensen Daniel   +2 more
doaj   +1 more source

Relaxation of monotone coupling conditions: Poisson approximation and beyond [PDF]

open access: yes, 2017
It is well-known that assumptions of monotonicity in size-bias couplings may be used to prove simple, yet powerful, Poisson approximation results. Here we show how these assumptions may be relaxed, establishing explicit Poisson approximation bounds ...
Daly, Fraser, Johnson, Oliver
core   +4 more sources

The discount version of large deviations for a randomly indexed sum of random variables

open access: yesLietuvos Matematikos Rinkinys, 2011
In this paper, we consider a compound random variable Z = \sum^N_{j=1} vjXj , where 0 < v < 1, Z = 0, if N = 0. It is assumed that independent identically distributed random variables X1,X2, . . .
Aurelija Kasparavičiūtė   +1 more
doaj   +1 more source

Confidence Intervals for the Difference and Ratio of Two Variances of Delta–Inverse Gaussian Distributions

open access: yesMathematics
Accurate statistical inference for zero-inflated and highly skewed data requires confidence interval procedures with a strong finite-sample performance.
Wasurat Khumpasee   +2 more
doaj   +1 more source

MULTIPLE IMPUTATION FOR ORDINARY COUNT DATA BY NORMAL DISTRIBUTION APPROXIMATION

open access: yesMedia Statistika, 2021
Missing values are a problem that is often encountered in various fields and must be addressed to obtain good statistical inference such as parameter estimation.
Titin Siswantining   +5 more
doaj   +1 more source

Asymptotic expansion in approximation by normal law

open access: yesLietuvos Matematikos Rinkinys, 2011
We consider the asymptotic behavior of the convolution P*n(A\sqrt{n}) of a k-dimensional probability distribution P(A) as n \to  \infty for A from the \sigma-algebra M of Borel subsets of Euclidian space Rk or from its subclasses.
Algimantas Bikelis   +2 more
doaj   +1 more source

Pair Fluctuations in Ultra-small Fermi Systems within Self-Consistent RPA at Finite Temperature [PDF]

open access: yes, 2003
A self-consistent version of the Thermal Random Phase Approximation (TSCRPA) is developed within the Matsubara Green's Function (GF) formalism. The TSCRPA is applied to the many level pairing model. The normal phase of the system is considered.
A. Storozhenko   +42 more
core   +3 more sources

Nonlinearity of Mechanochemical Motions in Motor Proteins [PDF]

open access: yes, 2010
The assumption of linear response of protein molecules to thermal noise or structural perturbations, such as ligand binding or detachment, is broadly used in the studies of protein dynamics.
A Cressman   +41 more
core   +7 more sources

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