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    Data Assimilation: A Fully Nonlinear Approach to Ensemble Formation Using Indistinguishable States 

    Source: Monthly Weather Review:;2010:;volume( 139 ):;issue: 007:;page 2080
    Author(s): Khare, Shree; Smith, Leonard A.
    Publisher: American Meteorological Society
    Abstract: perational forecasting with simulation models involves the melding of observations and model dynamics to determine a set of initial conditions for each forecast. The Kalman filter (KF) provides the optimal closed-form ...
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    Scoring Probabilistic Forecasts: The Importance of Being Proper 

    Source: Weather and Forecasting:;2007:;volume( 022 ):;issue: 002:;page 382
    Author(s): Bröcker, Jochen; Smith, Leonard A.
    Publisher: American Meteorological Society
    Abstract: Questions remain regarding how the skill of operational probabilistic forecasts is most usefully evaluated or compared, even though probability forecasts have been a long-standing aim in meteorological forecasting. This ...
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    Increasing the Reliability of Reliability Diagrams 

    Source: Weather and Forecasting:;2007:;volume( 022 ):;issue: 003:;page 651
    Author(s): Bröcker, Jochen; Smith, Leonard A.
    Publisher: American Meteorological Society
    Abstract: The reliability diagram is a common diagnostic graph used to summarize and evaluate probabilistic forecasts. Its strengths lie in the ease with which it is produced and the transparency of its definition. While visually ...
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    Pseudo-Orbit Data Assimilation. Part I: The Perfect Model Scenario 

    Source: Journal of the Atmospheric Sciences:;2013:;Volume( 071 ):;issue: 002:;page 469
    Author(s): Du, Hailiang; Smith, Leonard A.
    Publisher: American Meteorological Society
    Abstract: tate estimation lies at the heart of many meteorological tasks. Pseudo-orbit-based data assimilation provides an attractive alternative approach to data assimilation in nonlinear systems such as weather forecasting models. ...
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    Pseudo-Orbit Data Assimilation. Part II: Assimilation with Imperfect Models 

    Source: Journal of the Atmospheric Sciences:;2013:;Volume( 071 ):;issue: 002:;page 483
    Author(s): Du, Hailiang; Smith, Leonard A.
    Publisher: American Meteorological Society
    Abstract: ata assimilation and state estimation for nonlinear models is a challenging task mathematically. Performing this task in real time, as in operational weather forecasting, is even more challenging as the models are imperfect: ...
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    The Role of Operational Constraints in Selecting Supplementary Observations 

    Source: Journal of the Atmospheric Sciences:;2000:;Volume( 057 ):;issue: 017:;page 2859
    Author(s): Hansen, James A.; Smith, Leonard A.
    Publisher: American Meteorological Society
    Abstract: Adaptive observation strategies in numerical weather prediction aim to improve forecasts by exploiting additional observations at locations that are themselves optimized with respect to the current state of the atmosphere. ...
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    Linear Regime Duration: Is 24 Hours a Long Time in Synoptic Weather Forecasting? 

    Source: Journal of the Atmospheric Sciences:;2001:;Volume( 058 ):;issue: 022:;page 3525
    Author(s): Gilmour, Isla; Smith, Leonard A.; Buizza, Roberto
    Publisher: American Meteorological Society
    Abstract: Day-to-day variations in the growth of uncertainty in the current state of the atmosphere have led to operational ensemble weather predictions in which an ensemble of different initial conditions, each perturbed from the ...
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    An Evaluation of Decadal Probability Forecasts from State-of-the-Art Climate Models 

    Source: Journal of Climate:;2013:;volume( 026 ):;issue: 023:;page 9334
    Author(s): Suckling, Emma B.; Smith, Leonard A.
    Publisher: American Meteorological Society
    Abstract: hile state-of-the-art models of Earth's climate system have improved tremendously over the last 20 years, nontrivial structural flaws still hinder their ability to forecast the decadal dynamics of the Earth system ...
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    Monte Carlo SSA: Detecting irregular oscillations in the Presence of Colored Noise 

    Source: Journal of Climate:;1996:;volume( 009 ):;issue: 012:;page 3373
    Author(s): Allen, Myles R.; Smith, Leonard A.
    Publisher: American Meteorological Society
    Abstract: Singular systems (or singular spectrum) analysis (SSA) was originally proposed for noise reduction in the analysis of experimental data and is now becoming widely used to identify intermittent or modulated oscillations in ...
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    Extending the Limits of Ensemble Forecast Verification with the Minimum Spanning Tree 

    Source: Monthly Weather Review:;2004:;volume( 132 ):;issue: 006:;page 1522
    Author(s): Smith, Leonard A.; Hansen, James A.
    Publisher: American Meteorological Society
    Abstract: Uncertainty in the initial condition is one of the factors that limits the utility of single-model-run predictions of even deterministic nonlinear systems. In practice, an ensemble of initial conditions is often used to ...
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