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Statistics Independent of a Complete Sufficient Statistic
1988If {Pθ}, θ e Ω, be a family of probability measures on an abstract sample space S and T be a sufficient statistic for θ then for a statistic T1 to be stochastically independent of T it is necessary that the probability distribution of T1 be independent of θ. The condition is also sufficient if T be a boundedly complete sufficient statistic.
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Image completion based on statistical texture analysis
Journal of Electronic Imaging, 2015Image completion is an active subject in image and video processing, which deals with the recovery of original data. Most previous image completion techniques required extensive searches to find the most suited texture to repair the damaged area. In addition, visual artifacts tend to appear when the damaged area is large.
Sameh Zarif +2 more
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ON A SYSTEM OF MEASUREMENTS WHICH IS COMPLETE IN A STATISTICAL SENSE
Infinite Dimensional Analysis, Quantum Probability and Related Topics, 2013We show that if H = ℂd then there exists a system of d + 1 measurements which allows to recover an unknown state ρ on H from the probabilities of results of these measurements. Moreover, we show that a randomly chosen system of d + 1 measurements has the above property with probability 1.
Komisarski, Andrzej, Paszkiewicz, Adam
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Non-extensive Statistical Mechanics and Statistical Distribution for Completely Open Systems
2012Within the framework of non-extensive statistical mechanics, statistical distributions and thermodynamic formulas for a completely open system have been derived on the basis of Shannon entropy using the maximum entropy method, and an ideal Boson system and the corresponding linear filament system have been discussed.
Bin Yang, Heling Li, Ying Xiong
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On Deriving a Complete Sufficient Statistic
The American Statistician, 1976(1976). On Deriving a Complete Sufficient Statistic. The American Statistician: Vol. 30, No. 1, pp. 37-38.
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Nonparametric Statistical Methods for Complete and Censored Data
Technometrics, 2004(2004). Nonparametric Statistical Methods for Complete and Censored Data. Technometrics: Vol. 46, No. 4, pp. 487-488.
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Statistical Properties of Complete Level Schemes
1992The atomic nucleus is a quantum system consisting of a limited number of protons and neutrons. Although the strong interaction between the nucleons is not yet precisely known, there exist many theoretical models which describe to a certain extent the structure of the nuclei at low excitation energies.
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