Stanisław Trybuła (2002)
Applicationes Mathematicae
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The problem of minimax estimation of parameters of multinomial distribution is considered for a loss function being the sum of the losses of the statisticians taking part in the estimation process.
Tabatabai, M.A. (1995)
Southwest Journal of Pure and Applied Mathematics [electronic only]
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Herbert Fischer, Stefan Schaffler, Hubert Warsitz (1992)
The Yugoslav Journal of Operations Research
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Christos P. Kitsos, Vassilios G. Vassiliadis, Thomas L. Toulias (2014)
Discussiones Mathematicae Probability and Statistics
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The introduced three parameter (position μ, scale ∑ and shape γ) multivariate generalized Normal distribution (γ-GND) is based on a strong theoretical background and emerged from Logarithmic Sobolev Inequalities. It includes a number of well known distributions such as the multivariate Uniform, Normal, Laplace and the degenerated Dirac distributions. In this paper, the cumulative distribution, the truncated distribution and the hazard rate of the γ-GND are presented. In addition, the...
W. Okrasiński (1989)
Annales Polonici Mathematici
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S. Trybuła (1978)
Applicationes Mathematicae
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Carine Jauberthie, Louise Travé-Massuyès, Nathalie Verdière (2016)
International Journal of Applied Mathematics and Computer Science
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Identifiability guarantees that the mathematical model of a dynamic system is well defined in the sense that it maps unambiguously its parameters to the output trajectories. This paper casts identifiability in a set-membership (SM) framework and relates recently introduced properties, namely, SM-identifiability, μ-SM-identifiability, and ε-SM-identifiability, to the properties of parameter estimation problems. Soundness and ε-consistency are proposed to characterize these problems and...
Vlajko Lj. Kocić (1982)
Publications de l'Institut Mathématique
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J. Bartoszewicz (1977)
Applicationes Mathematicae
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D. Fairhurst, I. Tyukin, H. Nijmeijer, C. van Leeuwen (2010)
Mathematical Modelling of Natural Phenomena
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We consider the problem of state and parameter estimation for a class of nonlinear oscillators defined as a system of coupled nonlinear ordinary differential equations. Observable variables are limited to a few components of state vector and an input signal. This class of systems describes a set of canonic models governing the dynamics of evoked potential in neural membranes, including Hodgkin-Huxley, Hindmarsh-Rose, FitzHugh-Nagumo, ...
Jelena Bulatović, Alobodanka Janjić (1979)
Publications de l'Institut Mathématique
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