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most citedStochastic models which separate fractal dimension and Hurst effect

449 citations · 2.1k across the 35 of their papers we have counts for

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Showing 2015Show all

6 papers · 1 filter

stat.ME2015

Forecaster's Dilemma: Extreme Events and Forecast Evaluation

Sebastian Lerch, Thordis L. Thorarinsdottir, Francesco Ravazzolo +1

In public discussions of the quality of forecasts, attention typically focuses on the predictive performance in cases of extreme events. However, the restriction of conventional fo…

q-fin.RM2015★ 91 cited

Expected Shortfall is jointly elicitable with Value at Risk - Implications for backtesting

Tobias Fissler, Johanna F. Ziegel, Tilmann Gneiting

In this note, we comment on the relevance of elicitability for backtesting risk measure estimates. In particular, we propose the use of Diebold-Mariano tests, and show how they can…

stat.AP2015★ 4 cited

Spatially adaptive, Bayesian estimation for probabilistic temperature forecasts

Annette Möller, Thordis L. Thorarinsdottir, Alex Lenkoski +1

Uncertainty in the prediction of future weather is commonly assessed through the use of forecast ensembles that employ a numerical weather prediction model in distinct variants. St…

stat.ME2015

Interpretation of point forecasts with unkown directive

Patrick Schmidt, Matthias Katzfuß, Tilmann Gneiting

Point forecasts can be interpreted as functionals (i.e., point summaries) of predictive distributions. We consider the situation where forecasters' directives are hidden and develo…

math.ST2015

Of Quantiles and Expectiles: Consistent Scoring Functions, Choquet Representations, and Forecast Rankings

Werner Ehm, Tilmann Gneiting, Alexander Jordan +1

In the practice of point prediction, it is desirable that forecasters receive a directive in the form of a statistical functional, such as the mean or a quantile of the predictive…

math.PR2015

Gaussian Random Particles with Flexible Hausdorff Dimension

Linda V. Hansen, Thordis L. Thorarinsdottir, Evgeni Ovcharov +2

Gaussian particles provide a flexible framework for modelling and simulating three-dimensional star-shaped random sets. In our framework, the radial function of the particle arises…