Search Results - "Weiss, Christian"
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Some connections between discrepancy, finite gap properties, and pair correlations
Published in Monatshefte für Mathematik (01-12-2022)“…A generic uniformly distributed sequence ( x n ) n ∈ N in [0, 1) possesses Poissonian pair correlations (PPC). Vice versa, it has been proven that a sequence…”
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2
Distance-Based Analysis of Ordinal Data and Ordinal Time Series
Published in Journal of the American Statistical Association (02-07-2020)“…The dissimilarity of ordinal categories can be expressed with a distance measure. A unified approach relying on expected distances is proposed to obtain…”
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Deviation from equidistance for one-dimensional sequences
Published in Aequationes mathematicae (01-08-2023)“…For a finite sequence ( x i ) i = 1 N in the unit interval, we introduce the gap ratio function which measures the size of the maximal gap length relative to…”
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Neural calibration of hidden inhomogeneous Markov chains: information decompression in life insurance
Published in Machine learning (01-10-2024)“…Markov chains play a key role in a vast number of areas, including life insurance mathematics. Standard actuarial quantities as the premium value can be…”
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5
Omnibus control charts for Poisson counts
Published in Computers & industrial engineering (01-12-2024)“…Traditional control charts for Poisson counts are tailor-made for detecting changes in the process mean while assuming that the Poisson assumption is not…”
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Analyzing categorical time series in the presence of missing observations
Published in Statistics in medicine (20-09-2021)“…In real applications, time series often exhibit missing observations such that standard analytical tools cannot be applied. While there are approaches of how…”
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SOFTPLUS INGARCH MODELS
Published in Statistica Sinica (01-04-2022)“…Numerous models have been proposed for count time series, including the integer-valued autoregressive moving average (ARMA) and integer-valued generalized…”
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Discrepancy properties and conjugacy classes of interval exchange transformations
Published in Monatshefte für Mathematik (01-10-2021)“…Interval exchange transformations are typically uniquely ergodic maps and therefore have uniformly distributed orbits. Their degree of uniformity can be…”
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On higher-order moments of INGARCH processes
Published in Statistics & probability letters (01-11-2024)“…For important count distributions, such as (zero-inflated) Poisson and (negative-)binomial, the kth factorial moment is proportional to the kth power of the…”
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The Circumstance-Driven Bivariate Integer-Valued Autoregressive Model
Published in Entropy (Basel, Switzerland) (01-02-2024)“…The novel circumstance-driven bivariate integer-valued autoregressive (CuBINAR) model for non-stationary count time series is proposed. The non-stationarity of…”
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Measuring Dispersion and Serial Dependence in Ordinal Time Series Based on the Cumulative Paired ϕ -Entropy
Published in Entropy (Basel, Switzerland) (26-12-2021)“…The family of cumulative paired ϕ-entropies offers a wide variety of ordinal dispersion measures, covering many well-known dispersion measures as a special…”
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Interval exchange transformations and low-discrepancy
Published in Annali di matematica pura ed applicata (01-04-2019)“…In Masur (Ann Math 115(1):169–200, 1982 ) and Veech (J Anal Math 33:222–272, 1978 ), it was proved independently that almost every interval exchange…”
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The pair correlation function of multi-dimensional low-discrepancy sequences with small stochastic error terms
Published in Journal of number theory (01-06-2024)“…In any dimension d≥2, there is no known example of a low-discrepancy sequence which possesses Poisssonian pair correlations. This is in some sense rather…”
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V2X communication in Europe – From research projects towards standardization and field testing of vehicle communication technology
Published in Computer networks (Amsterdam, Netherlands : 1999) (06-10-2011)“…Following the success story of passive and autonomous active safety systems, cooperative Intelligent Transportation Systems based on vehicular communication…”
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15
Stationary count time series models
Published in Wiley interdisciplinary reviews. Computational statistics (01-01-2021)“…During the last 20–30 years, there was a remarkable growth in interest on approaches for stationary count time series. We consider popular classes of models…”
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Discrete-Valued Time Series
Published in Entropy (Basel, Switzerland) (23-11-2023)“…Time series are sequentially observed data in which important information about the phenomenon under consideration is contained not only in the individual…”
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Conditional-mean multiplicative operator models for count time series
Published in Computational statistics & data analysis (01-03-2024)Get full text
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Ordinal compositional data and time series
Published in Statistical modelling (01-12-2024)“…There are several real applications where the categories behind compositional data (CoDa) exhibit a natural order, which, however, is not accounted for by…”
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Self-exciting hysteretic binomial autoregressive processes
Published in Statistical papers (Berlin, Germany) (01-05-2024)“…This paper introduces an observation-driven integer-valued time series model, in which the underlying generating stochastic process is binomially distributed…”
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Nonparametric Control Charts for Monitoring Serial Dependence based on Ordinal Patterns
Published in Technometrics (03-07-2023)“…We consider the problem of monitoring for the existence of serial dependence in real-valued and continuously distributed processes. These can exist when a…”
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