Results 21 to 30 of about 7,601,921 (311)
The Holling Type II Population Model Subjected to Rapid Random Attacks of Predator
We present the analysis of a mathematical model of the dynamics of interacting predator and prey populations with the Holling type random trophic function under the assumption of random time interval passage between predator attacks on prey. We propose a
Jevgeņijs Carkovs +2 more
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The mixture cure model is the most popular model used to analyse the major event with a potential cure fraction. But in the real world there may exist a potential risk from other non-curable competing events.
Yijun Wang, Jiajia Zhang, Yincai Tang
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Stability Estimates for Finite-Dimensional Distributions of Time-Inhomogeneous Markov Chains
This paper is devoted to the study of the stability of finite-dimensional distribution of time-inhomogeneous, discrete-time Markov chains on a general state space.
Vitaliy Golomoziy, Yuliya Mishura
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Gaussian Volterra processes with power-type kernels. Part I
The stochastic process of the form \[ {X_{t}}={\int _{0}^{t}}{s^{\alpha }}\left({\int _{s}^{t}}{u^{\beta }}{(u-s)^{\gamma }}\hspace{0.1667em}du\right)\hspace{0.1667em}d{W_{s}}\] is considered, where W is a standard Wiener process, $\alpha >-\frac{1}{
Yuliya Mishura, Sergiy Shklyar
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A statistical theory of shape [PDF]
In this paper, we will study the statistical theory of shape for ordered finite point configurations, or otherwise stated, the uncertainty of geometric invariants. A general approach for defining shape and finding its density, expressed in the densities for the individual points, is developed. Some examples, that can be computed analytically, are given,
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An Analysis of Implied Volatility, Sensitivity, and Calibration of the Kennedy Model
The Kennedy model provides a flexible and mathematically consistent framework for modeling the term structure of interest rates, leveraging Gaussian random fields to capture the dynamics of forward rates.
Dalma Tóth-Lakits +2 more
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Theory of Statistical Estimation [PDF]
It has been pointed out to me that some of the statistical ideas employed in the following investigation have never received a strictly logical definition and analysis. The idea of a frequency curve, for example, evidently implies an infinite hypothetical population distributed in a definite manner; but equally evidently the idea of an infinite ...
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Some Asymptotic Results on Box-Cox Transformation Methodology
Communications in Statistics - Theory and Methods252403 ...
Yang, Z., YANG, Zhenlin
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Communications in Statistics - Theory and Methods2792173 ...
Yang, Z. +3 more
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The paper deals with a stochastic heat equation driven by an additive fractional Brownian space-only noise. We prove that a solution to this equation is a stationary and ergodic Gaussian process. These results enable us to construct a strongly consistent
Diana Avetisian, Kostiantyn Ralchenko
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