Rates of Convergence in Laplace’s Integrals and Sums and Conditional Central Limit Theorems
Mathematics, 2020 We obtained the exact estimates for the error terms in Laplace’s integrals and sums implying the corresponding estimates for the related laws of large number and central limit theorems including the large deviations approximation.
Vassili N. Kolokoltsov
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Soil texture analysis revisited: Removal of organic matter matters more than ever. [PDF]
PLoS ONE, 2017 Exact estimates of soil clay (
Johannes Lund Jensen +4 more
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Estimation of Parameters of Lomax Distribution Based on Record Values [PDF]
The Egyptian Statistical Journal, 2001 In this paper, we derive exact explicit expressions for the single and double moments of the upper record values from Lomax distribution. We then use these expressions to compute t?
Nagi Abd El-Hakim +2 more
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International Journal of Population Data Science, 2022 Objectives Problem drug use (PDU) prevalence is an essential part of evidence base to formulate policy, inform service provision, and assess interventions. Opiate and crack use, particularly injecting, is associated with infectious diseases.
Abdelmajid Djennad +3 more
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On the problem of determining the parameter of an elliptic equation in a Banach space
Nonlinear Analysis, 2014 The boundary value problem of determining the parameter of an elliptic equation -u''(t)+Au(t)=f(t)+p (0⩽t⩽T), u(0)=φ, u(T)=ψ, u(λ)=ξ ...
Allaberen Ashyralyev +1 more
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Two approximation methods for fractional order Pseudo-Parabolic differential equations
Alexandria Engineering Journal, 2022 In this study, fractional order pseudo-parabolic partial differential equation defined by Caputo derivative is investigated with initial-boundary conditions. Modified double Laplace decomposition method is used to find the exact solution of this equation.
Mahmut. Modanli +4 more
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A Second-Order Accurate Numerical Approximation for a Two-Sided Space-Fractional Diffusion Equation
Mathematics, 2023 In this paper, we investigate a practical numerical method for solving a one-dimensional two-sided space-fractional diffusion equation with variable coefficients in a finite domain, which is based on the classical Crank-Nicolson (CN) method combined with
Taohua Liu +3 more
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Inferences for Generalized Pareto Distribution Based on Progressive First-Failure Censoring Scheme
Complexity, 2021 In this article, we consider estimation of the parameters of a generalized Pareto distribution and some lifetime indices such as those relating to reliability and hazard rate functions when the failure data are progressive first-failure censored.
Rashad M. El-Sagheer +2 more
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Existence theories and exact solutions of nonlinear PDEs dominated by singularities and time noise
Nonlinear Analysis, 2023 The current research deals with the exact solutions of the nonlinear partial differential equations having two important difficulties, that is, the coefficient singularities and the stochastic function (white noise).
Muhammad Ozair Ahmed +5 more
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CONDITIONS FOR EXACT CAVALIERI ESTIMATION
Image Analysis & Stereology, 2014 Exact Cavalieri estimation amounts to zero variance estimation of an integral with systematic observations along a sampling axis. A sufficient condition is given, both in the continuous and the discrete cases, for exact Cavalieri sampling. The conclusions suggest improvements on the current stereological application of fractionator-type sampling.
Cruz-Orive, Luis M. +2 more
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