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Transactions of the American Mathematical Society, ISSN 0002-9947, 05/2019, Volume 371, Issue 5, pp. 3417 - 3450
Let X=(X_t)_{t \ge 0} be a stochastic process which has a (not necessarily stationary) independent increment on a probability space (\Omega , \mathbb{P}). In... 
Diffusion equation for jump process | Pseudo-differential operator | L | theory | Non-stationary increment | MATHEMATICS | pseudo-differential operator | INTEGRODIFFERENTIAL EQUATIONS | non-stationary increment | OPERATORS | L-p-theory
Journal Article
Mechanical Systems and Signal Processing, ISSN 0888-3270, 11/2017, Volume 96, pp. 31 - 44
The time-domain representation of non-stationary stochastic processes is of paramount importance, in particular for response analysis and reliability... 
Non-stationary stochastic processes | Evolutionary power spectral density | Spectral representation method | Wavelet-based EPSD estimation | Stochastic harmonic function | EVOLUTIONARY SPECTRA | MOTION | MODEL | ENGINEERING, MECHANICAL | Stochastic processes | Analysis
Journal Article
Journal of Time Series Analysis, ISSN 0143-9782, 01/2017, Volume 38, Issue 1, pp. 72 - 98
Journal Article
IEEE Transactions on Information Theory, ISSN 0018-9448, 10/2019, Volume 65, Issue 10, pp. 6484 - 6495
Journal Article
Mechanical Systems and Signal Processing, ISSN 0888-3270, 01/2019, Volume 115, pp. 1 - 13
A new method is developed for explicitly representing and synthesizing non-Gaussian and non-stationary stochastic processes that have been specified by their... 
Karhunen-Loève expansion | Stochastic process simulation | Non-stationary | Non-Gaussian | Polynomial chaos expansion | APPROXIMATION | MODELS | IMPLEMENTATION | Karhunen-Loeve expansion | FRACTIONAL EQUIVALENT LINEARIZATION | RANDOM-FIELDS | ENGINEERING, MECHANICAL | Stochastic processes | Analysis | Methods
Journal Article
Bernoulli, ISSN 1350-7265, 10/1999, Volume 5, Issue 5, pp. 873 - 906
We consider nonparametric estimation of the parameter functions a (·),i=1,... ,p, of a time-varying autoregressive process. Choosing an orthonormal wavelet... 
Preliminary estimates | Density estimation | Autoregressive models | Threshing | Spectral energy distribution | Mathematical functions | Coefficients | Estimators | Consistent estimators | Estimation methods | time-varying autoregression | nonlinear thresholding | SHRINKAGE | non-stationary processes | time series | STATISTICS & PROBABILITY | wavelet estimators
Journal Article
Journal of the Royal Statistical Society. Series B (Statistical Methodology), ISSN 1369-7412, 11/2014, Volume 76, Issue 5, pp. 903 - 924
The emergence of the recent financial crisis, during which markets frequently underwent changes in their statistical structure over a short period of time,... 
Mixing | Binary segmentation | Cumulative sum | Unbalanced Haar wavelets | Non‐stationary time series | Process transformation | Non-stationary time series | VARYING ARCH PROCESSES | MODELS | LEAST-SQUARES ESTIMATION | STATISTICS & PROBABILITY | NONSTATIONARY TIME-SERIES | Software | Regression analysis | Stock exchanges | Time series
Journal Article
Statistics and Probability Letters, ISSN 0167-7152, 01/2020, Volume 156, p. 108581
This paper deals with the functional central limit theorem for non-stationary dependent sequences of random variables satisfying the Lindeberg condition. The... 
Non-stationary triangular arrays | Functional central limit theorem | [formula omitted]-mixing arrays | STATISTICS & PROBABILITY | alpha-mixing arrays | CENTRAL-LIMIT-THEOREM
Journal Article
Journal of Hydrology, ISSN 0022-1694, 04/2018, Volume 559, pp. 84 - 88
This study treats the catchment as a block box system with considering the rainfall input and runoff output being a stochastic process. The temporal... 
Runoff discharge variability | Temporal non-stationary processes | Low-pass filters | Spectral analysis | WATER RESOURCES | CATCHMENTS | FLOW | CHAOS | AQUIFERS | ENGINEERING, CIVIL | GEOSCIENCES, MULTIDISCIPLINARY | MODELS | TIME-SERIES | SYSTEMS | GROUNDWATER | HILLSLOPE | RECHARGE | Runoff | Analysis | Stochastic processes | Green technology | Water, Underground | Rain and rainfall | Aquifers
Journal Article
Statistics and Probability Letters, ISSN 0167-7152, 01/2020, Volume 156, p. 108617
Journal Article
Journal of Statistical Planning and Inference, ISSN 0378-3758, 01/2019, Volume 198, pp. 105 - 118
In this paper, we present the asymptotic distribution of M-estimates for parameters in unstable AR( ) processes. The innovations are assumed to be in the... 
Bootstrapping | Non-stationary | Autoregressive model | Stable process | Unit root | REGRESSION | TESTS | BOOTSTRAP | TIME-SERIES | UNIT-ROOT | STATISTICS & PROBABILITY | POINT-PROCESSES
Journal Article
BERNOULLI, ISSN 1350-7265, 05/2019, Volume 25, Issue 2, pp. 1013 - 1044
In this paper, some general theory is presented for locally stationary processes based on the stationary approximation and the stationary derivative. Laws of... 
MOMENT INEQUALITIES | MODELS | non-stationary processes | STATISTICS & PROBABILITY | NONSTATIONARY TIME-SERIES | INFERENCE | derivative processes
Journal Article
Engineering Structures, ISSN 0141-0296, 10/2019, Volume 197, p. 109426
It is well known that existing concrete bridges are time-varying working systems, and the corresponding maintenance strategy should be planned according to the... 
Time-dependent reliability assessment | Existing concrete bridges | Gamma process | Non-stationary properties | Target reliability index | Generalised extreme value distribution
Journal Article
Journal of Hydrology, ISSN 0022-1694, 11/2014, Volume 519, pp. 549 - 558
For many areas in the world, there is a need for future projections of flood risk in order to improve the possible mitigation actions. However, such an... 
GEV | Non-stationary | Soil moisture | RCM | Flood risk | INPUT | REPRESENTATION | WATER RESOURCES | CHANGE IMPACT | ENGINEERING, CIVIL | GEOSCIENCES, MULTIDISCIPLINARY | ANTECEDENT WETNESS CONDITIONS | FREQUENCY | UNCERTAINTY | SCENARIO | RAINFALL | NON-STATIONARITY | Climatic changes | Models | Climate models | Global temperature changes | Precipitation (Meteorology) | Environmental Sciences
Journal Article
Journal of Time Series Econometrics, ISSN 2194-6507, 01/2019, Volume 11, Issue 1
This paper proposes a non-stationary bivariate integer-valued moving average of order 1 (BINMA(1)) model where the respective innovations are marginal... 
non-stationary | GQL | COM-poisson | BINMA
Journal Article
Agricultural and Forest Meteorology, ISSN 0168-1923, 10/2016, Volume 226-227, pp. 96 - 107
A statistical model for predicting daily mean pollen concentrations during the flowering season is constructed and its parameterization and application to... 
Statistical models | Non-stationary processes | Pollen forecasting | Betula spp | LONG-TERM | AGRONOMY | UNITED-KINGDOM | RESOURCE BUDGET MODEL | SEASON | EUROPE | NEURAL-NETWORKS | BETULA POLLEN | PREDICT | AEROALLERGENS | START | FORESTRY | METEOROLOGY & ATMOSPHERIC SCIENCES | Environmental aspects | Pollution | Models | Analysis | Usage
Journal Article
Journal of the Royal Statistical Society: Series C (Applied Statistics), ISSN 0035-9254, 01/2016, Volume 65, Issue 1, pp. 29 - 50
Journal Article