Search Results - "Podgórski, Krzysztof"
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Dyadic diagonalization of positive definite band matrices and efficient B-spline orthogonalization
Published in Journal of computational and applied mathematics (01-11-2022)“…A dyadic algorithm for diagonalizing an arbitrary positive definite band matrix, referred to as a band Gramian, is obtained to efficiently orthogonalize the…”
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Singular inverse Wishart distribution and its application to portfolio theory
Published in Journal of multivariate analysis (01-01-2016)“…The inverse of the standard estimate of covariance matrix is frequently used in the portfolio theory to estimate the optimal portfolio weights. For this…”
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Spline-based methods for functional data on multivariate domains
Published in Journal of mathematics in industry (30-07-2024)“…Functional data analysis is typically performed in two steps: first, functionally representing discrete observations, and then applying functional methods to…”
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Tangency portfolio weights for singular covariance matrix in small and large dimensions: Estimation and test theory
Published in Journal of statistical planning and inference (01-07-2019)“…In this paper we derive the finite-sample distribution of the estimated weights of the tangency portfolio when both the population and the sample covariance…”
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Gaussian Mixture Representation of the Laplace Distribution Revisited: Bibliographical Connections and Extensions
Published in The American statistician (01-10-2020)“…We provide bibliographical connections and extensions of several representations of the classical Laplace distribution, discussed recently in the study of Ding…”
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Data driven orthogonal basis selection for functional data analysis
Published in Journal of multivariate analysis (01-05-2022)“…Functional data analysis is typically performed in two steps: first, functionally representing discrete observations, and then applying functional methods,…”
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A generalized Sibuya distribution
Published in Annals of the Institute of Statistical Mathematics (01-08-2018)“…The Sibuya distribution arises as the distribution of the waiting time for the first success in Bernoulli trials, where the probabilities of success are…”
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Transmuted distributions and random extrema
Published in Statistics & probability letters (01-09-2016)“…Recent years have seen an increased interest in the transmuted probability models, which arise from transforming a “base” distribution into its generalized…”
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Random spectral measure for non Gaussian moving averages
Published in Communications in statistics. Theory and methods (17-01-2018)“…We study the distribution of phases and amplitudes for the spectral representation of weighted moving averages of a general noise measure. The simple…”
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The Laplace multi-axial response model for fatigue analysis
Published in International journal of fatigue (01-04-2016)“…•Loads with transients caused by obstacles are modeled.•The model is a natural extension of the Gaussian load model.•The model can be used to simulate loads…”
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A model of significant wave height for reliability assessment of a ship
Published in Journal of marine systems (01-02-2014)“…Significant wave heights are modeled by means of a spatial–temporal random Gaussian field. Its dependent structure can be localized by introduction of time and…”
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Spatial size of waves
Published in Marine structures (01-11-2016)“…Measures of three-dimensional spatial wave size are proposed and expressed in terms of properly defined characteristics: the crest-height, the length, and the…”
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Convolution-invariant subclasses of generalized hyperbolic distributions
Published in Communications in statistics. Theory and methods (02-01-2016)“…It is rigorously shown that the generalized Laplace distributions and the normal inverse Gaussian distributions are the only subclasses of the generalized…”
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Multivariate generalized Laplace distribution and related random fields
Published in Journal of multivariate analysis (01-01-2013)“…Multivariate Laplace distribution is an important stochastic model that accounts for asymmetry and heavier than Gaussian tails, while still ensuring the…”
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Models for road surface roughness
Published in Vehicle system dynamics (01-01-2012)“…This study focuses on the statistical description and analysis of road surface irregularities that are essential for heavy-vehicle fatigue assessment. Three…”
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AR(1) time series with autoregressive gamma variance for road topography modeling
Published in Probabilistic engineering mechanics (01-01-2016)“…A non-Gaussian time series with a generalized Laplace marginal distribution is used to model road topography. The model encompasses variability exhibited by a…”
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