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We present a model of the internal representation and reproduction of temporal durations, the 'dual klepsydra' model (DKM). Unlike most contemporary models operating on a 'pacemaker-counter' scheme, the DKM does not assume an oscillatory process as the internal time-base. It is based on irreversible, dissipative processes in inflow/outflow systems (leaky… (More)

If we observe an ambiguous figure, our percept is unstable and alternates between the possible interpretations. Periodically interrupting the presentation sizably modulates the spontaneous reversal rate. We here studied event-related potential (ERP) correlates of the neural processes underlying these strong modulations. An ambiguous Necker stimulus was… (More)

- Werner Ehm, Benjamin Staude, Stefan Rotter
- 2007

Consider a compound Poisson process with jump measure ν supported by finitely many positive integers. We propose a method for estimating ν from a single, equidistantly sampled trajectory and develop associated statistical procedures. The problem is motivated by the question whether nerve cells in the brain exhibit higher-order interactions in their firing… (More)

Ambiguous figures induce sudden transitions between rivaling percepts. We investigated electroencephalogram frequency modulations of accompanying change-related de- and rebinding processes. Presenting the stimuli discontinously, we synchronized perceptual reversals with stimulus onset, which served as a time reference for averaging. The resultant gain in… (More)

- Werner Ehm, Tilmann Gneiting, Donald Richards
- 2003

A classical theorem of Boas, Kac, and Krein states that a characteristic function ϕ with ϕ(x) = 0 for |x| ≥ τ admits a representation of the form ϕ(x) = u(y)u(y + x) dy, x ∈ R, where the convolution root u ∈ L 2 (R) is complex-valued with u(x) = 0 for |x| ≥ τ /2. The result can be expressed equivalently as a factorization theorem for entire functions of… (More)

Scoring rules assess the quality of probabilistic forecasts, by assigning a numerical score based on the predictive distribution and on the event or value that materializes. A scoring rule is proper if it encourages truthful reporting. It is local of order λ if the score depends on the predictive density only through its value and its derivatives of order… (More)

- Imke C G Reimer, Benjamin Staude, Werner Ehm, Stefan Rotter
- Journal of neuroscience methods
- 2012

Measuring pairwise and higher-order spike correlations is crucial for studying their potential impact on neuronal information processing. In order to avoid misinterpretation of results, the tools used for data analysis need to be carefully calibrated with respect to their sensitivity and robustness. This, in turn, requires surrogate data with statistical… (More)

- Werner Ehm
- 2005

Are there relationships between consciousness and the material world? Empirical evidence for such a connection was reported in several meta-analyses of mind-matter experiments designed to address this question. In this paper we consider such meta-analyses from a statistical modeling perspective, emphasizing strategies to validate the models and the… (More)

— Visual distortions of perceived lengths, angles, or forms, are generally known as " geometric–optical illusions " (GOI). In the present paper we focus on a class of GOIs where the distortion of a straight line segment (the " target " stimulus) is induced by an array of non-intersecting curvilinear elements (" context " stimulus). Assuming local target–… (More)

Suitable sequentially rejective multiple test procedures allow to " zoom in " on clusters of relevant variables in high-dimensional regression (Meinshausen [7]), or on regions of interest in some search space (Heinrich et al. [3]; Meinshausen et al. [8]). As a common framework for these schemes we propose to consider multiple testing along a tree of… (More)