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STATIONARY AND NON‐STATIONARY STATE SPACE MODELS
Journal of Time Series Analysis, 1994Abstract. The concepts of time invariance, stationarity, non‐stationarity and immemorial time are considered for state space models (SSMs). Necessary and sufficient conditions for stationarity are given and connected with standard conditions. Expressions are given for the unconditional mean and covariance matrix of the state of a time‐immemorial SSM ...
De Jong, Piet, Chu-Chun-Lin, Singfat
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Archive for Mathematical Logic, 1993
Let \(\kappa\) be an uncountable cardinal. A subset \(A\subseteq \kappa\) is said to be a 1-club set if \(A\) is stationary and every stationary reflection point belongs to \(A\). It is clear that this definition is a generalization of the definition of closed unbounded sets.
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Let \(\kappa\) be an uncountable cardinal. A subset \(A\subseteq \kappa\) is said to be a 1-club set if \(A\) is stationary and every stationary reflection point belongs to \(A\). It is clear that this definition is a generalization of the definition of closed unbounded sets.
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Stationary clock changes on stationary processes
Signal Processing, 1996zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Stationary Waves on the Sphere
SIAM Journal on Applied Mathematics, 2015This paper deals with a reaction-diffusion equation on a unit sphere \[ \frac{\partial u}{\partial t} = D \nabla_S^2 u + \Psi (u,\sigma) \eqno (1) \] where \[ \nabla_S^2 := \frac{1}{\sin x} \frac{ \partial}{\partial x} (\sin x \frac{\partial}{\partial x}) = \frac{\partial^2}{\partial x^2} + \cot x \frac{\partial}{\partial x}, \] \(D > 0\) and \(\Psi (u,
Slawomir Bialecki +2 more
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Fundamenta Informaticae, 1994
Default logic, introduced by Reiter proved to be an important non- monotonic formalism with applications extending over a variety of areas. In particular, default logic is closely related to logic programming. In this paper we introduce the class of so called stationary extensions of a default theory.
Halina Przymusinska +1 more
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Default logic, introduced by Reiter proved to be an important non- monotonic formalism with applications extending over a variety of areas. In particular, default logic is closely related to logic programming. In this paper we introduce the class of so called stationary extensions of a default theory.
Halina Przymusinska +1 more
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On stationary and cycle-stationary sequences
Bulletin of the Brazilian Mathematical Society, 2002Let \(Z=(Z_k)\) be a stationary sequence with a state space \((E, {\mathcal E})\). Let \(A\in {\mathcal E}\) be such a set that the events \(\{Z_n\in A\}\) occur infinitely many times for both negative and positive \(n\). The times \(n\) when the events occur are called points. The points split the process into a two-sided sequence of cycles.
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Riemann Integral Operator for Stationary and Non-Stationary Processes
Cybernetics and Systems Analysis, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alexandrovich, I. M. +4 more
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The stationary and non-stationary wind profile
pure and applied geophysics, 1965A method is presented which permits the separation of the non-stationary part of the wind profile from the stationary or smoothed profile. Very little a priori assumption is made, thus, the results can be considered to render information of general purpose.
Oskar Essenwanger, Novella S. Billions
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Clustering univariate time series into stationary and non-stationary
2010 Seventh International Conference on Fuzzy Systems and Knowledge Discovery, 2010Lots of researchers have paid attention to time series clustering in recent years. This paper studies the stationarity analysis for autoregressive and moving average models of time series with clustering, firstly presents a set of nonlinear functions, or rather the square function along with logarithmic function to better autocorrelation function ...
Heshan Guan +3 more
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Stationary and non-stationary dynamics of discrete square membrane
Communications in Nonlinear Science and Numerical Simulation, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Irina P. Koroleva (Kikot) +1 more
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