Search Results - "Weiss, Christian"

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  1. 1

    Some connections between discrepancy, finite gap properties, and pair correlations by Weiß, Christian

    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. 2

    Distance-Based Analysis of Ordinal Data and Ordinal Time Series by Weiß, Christian H.

    “…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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  3. 3

    Deviation from equidistance for one-dimensional sequences by Weiß, Christian

    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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  4. 4

    Neural calibration of hidden inhomogeneous Markov chains: information decompression in life insurance by Kiermayer, Mark, Weiß, Christian

    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. 5

    Omnibus control charts for Poisson counts by Weiß, Christian H.

    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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  6. 6

    Analyzing categorical time series in the presence of missing observations by Weiß, Christian H.

    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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  7. 7

    SOFTPLUS INGARCH MODELS by Weiß, Christian H., Zhu, Fukang, Hoshiyar, Aisouda

    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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  8. 8

    Discrepancy properties and conjugacy classes of interval exchange transformations by Weiß, Christian

    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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  9. 9

    On higher-order moments of INGARCH processes by Weiß, Christian H.

    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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  10. 10

    The Circumstance-Driven Bivariate Integer-Valued Autoregressive Model by Wang, Huiqiao, Weiß, Christian H

    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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  11. 11

    Measuring Dispersion and Serial Dependence in Ordinal Time Series Based on the Cumulative Paired ϕ -Entropy by Weiß, Christian H

    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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  12. 12

    Interval exchange transformations and low-discrepancy by Weiß, Christian

    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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  13. 13

    The pair correlation function of multi-dimensional low-discrepancy sequences with small stochastic error terms by Schmiedt, Anja, Weiß, Christian

    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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  14. 14

    V2X communication in Europe – From research projects towards standardization and field testing of vehicle communication technology by Weiss, Christian

    “…Following the success story of passive and autonomous active safety systems, cooperative Intelligent Transportation Systems based on vehicular communication…”
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  15. 15

    Stationary count time series models by Weiß, Christian H.

    “…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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  16. 16

    Discrete-Valued Time Series by Weiß, Christian H

    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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  18. 18

    Ordinal compositional data and time series by Weiß, Christian H.

    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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  19. 19

    Self-exciting hysteretic binomial autoregressive processes by Yang, Kai, Zhao, Xiuyue, Dong, Xiaogang, Weiß, Christian H.

    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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  20. 20

    Nonparametric Control Charts for Monitoring Serial Dependence based on Ordinal Patterns by Weiß, Christian H., Testik, Murat Caner

    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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