Search results for "Periodogram"

showing 5 items of 5 documents

Autocorrelation Metrics to Estimate Soil Moisture Persistence From Satellite Time Series: Application to Semiarid Regions

2021

Satellite-derived soil moisture (SM) products have become an important information source for the study of land surface processes in hydrology and land monitoring. Characterizing and estimating soil memory and persistence from satellite observations is of paramount relevance, and has deep implications in ecology, water management, and climate modeling. In this work, we address the problem of SM persistence estimation from microwave sensors using several autocorrelation metrics that, unlike traditional approaches, build on accurate estimates of the autocorrelation function from nonuniformly sampled time series. We show how the choice of the autocorrelation estimator can have a dramatic impac…

Autocorrelation0211 other engineering and technologiesEstimator02 engineering and technology15. Life on landScatterometer6. Clean waterPhysics::GeophysicsAdvanced Microwave Scanning Radiometer-2 (AMSR2) Advanced Scatterometer (ASCAT) autocorrelation e-folding time Least Absolute Shrinkage and Selection Operator (LASSO) Lomb-Scargle periodogram microwave sensors persistence soil moisture Soil Moisture and Ocean Salinity (SMOS) spatial-temporal13. Climate actionConsistency (statistics)General Earth and Planetary SciencesEnvironmental scienceClimate modelSatelliteElectrical and Electronic EngineeringTransectPersistence (discontinuity)021101 geological & geomatics engineeringRemote sensingIEEE Transactions on Geoscience and Remote Sensing
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Spectral Density Estimate for Stable Processes Observed with an Additive Error

2018

International audience; In this paper, a symmetric alpha stable process where its spectral representation has an additive error is considered. The error is supposed to be constant. A periodogram as estimator of the spectral density and its rate of convergence are given. In order to give an asymptotically unbiased and consistent estimate of the spectral density, this periodogram is smoothed by an adapted spectral window. The rate of convergence is given.

Health (social science)General Computer ScienceAdditive errorGeneral MathematicsSpectral DensityStable Processes01 natural sciencesEducationStable process[SPI]Engineering Sciences [physics][MATH.MATH-ST]Mathematics [math]/Statistics [math.ST]0103 physical sciencesStatistical physics[MATH]Mathematics [math]PeriodogramGeneral Environmental ScienceMathematics010308 nuclear & particles physicsSpectral windowGeneral EngineeringEstimatorSpectral density[STAT]Statistics [stat]General EnergyRate of convergencePeriodogramConstant (mathematics)[MATH.MATH-SP]Mathematics [math]/Spectral Theory [math.SP]Advanced Science Letters
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Self-normalized and randomly centered spectral estimates

1996

We review some limit theory for the periodogram and for integrated versions of it and explain the use of random normalizing and centering techniques.

PeriodogramSample autocorrelationSelf normalizedStatistical physicsBrownian bridgeLimit theoryMathematics
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Evolutionary Spectrum for Random Field and Missing Observations

2012

There are innumerable situations where the data observed from a non-stationary random field are collected with missing values. In this work a consistent estimate of the evolutionary spectral density is given where some observations are randomly missing.

Random fieldSpectrum (functional analysis)StatisticsSpectral densityPeriodogramStatistical physicsMissing dataMathematics
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Spectral density estimation for stationary stable random fields

1995

International audience

[ MATH ] Mathematics [math]Mathematical optimization[ STAT ] Statistics [stat][SPI] Engineering Sciences [physics][MATH] Mathematics [math]01 natural sciences[PHYS] Physics [physics][SPI]Engineering Sciences [physics]010104 statistics & probability[ SPI ] Engineering Sciences [physics]Applied mathematics[MATH]Mathematics [math]0101 mathematicsComputingMilieux_MISCELLANEOUSMathematics[PHYS]Physics [physics][ PHYS ] Physics [physics]Random fieldApplied MathematicsSpectral density estimation[STAT] Statistics [stat][STAT]Statistics [stat]010101 applied mathematicsDiscrete time and continuous timeVariable kernel density estimationKernel embedding of distributionsKernel (statistics)PeriodogramApplicationes Mathematicae
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