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Relevant bibliographies by topics / Statistical Symmetries

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Academic literature on the topic 'Statistical Symmetries'

Author: Grafiati

Published: 3 June 2025

Last updated: 31 July 2025

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Journal articles on the topic "Statistical Symmetries"

1

Green, HS. "Statistical Symmetries in Physics." Australian Journal of Physics 47, no. 2 (1994): 109. http://dx.doi.org/10.1071/ph940109.

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Every law of physics is invariant under some group of transformations and is therefore the expression of some type of symmetry. Symmetries are classified as geometrical, dynamical or statistical. At the most fundamental level, statistical symmetries are expressed in the field theories of the elementary particles. This paper traces some of the developments from the discovery of Bose statistics, one of the two fundamental symmetries of physics. A series of generalizations of Bose statistics is described. A supersymmetric generalization accommodates fermions as well as bosons, and further general

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Aubry, Nadine, and Ricardo Lima. "Spatiotemporal and statistical symmetries." Journal of Statistical Physics 81, no. 3-4 (1995): 793–828. http://dx.doi.org/10.1007/bf02179258.

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Pocheau, A. "Scale ratios, statistical symmetries and intermittency." Europhysics Letters (EPL) 43, no. 4 (1998): 410–15. http://dx.doi.org/10.1209/epl/i1998-00103-6.

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SAMANI, K. AGHABABAEI, and A. MOSTAFAZADEH. "ON THE STATISTICAL ORIGIN OF TOPOLOGICAL SYMMETRIES." Modern Physics Letters A 17, no. 03 (2002): 131–40. http://dx.doi.org/10.1142/s0217732302006254.

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We investigate a quantum system possessing a parasupersymmetry of order 2, an orthosupersymmetry of order p, a fractional supersymmetry of order p+1, and topological symmetries of type (1,p) and (1,1,…,1). We obtain the corresponding symmetry generators, explore their relationship, and show that they may be expressed in terms of the creation and annihilation operators for an ordinary boson and orthofermions of order p. We give a realization of parafermions of order 2 using orthofermions of arbitrary order p, discuss a p=2 parasupersymmetry between p = 2 parafermions and parabosons of arbitrary

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Luque, Amalia, Alejandro Carrasco, Alejandro Martín, and Juan Ramón Lama. "Exploring Symmetry of Binary Classification Performance Metrics." Symmetry 11, no. 1 (2019): 47. http://dx.doi.org/10.3390/sym11010047.

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Selecting the proper performance metric constitutes a key issue for most classification problems in the field of machine learning. Although the specialized literature has addressed several topics regarding these metrics, their symmetries have yet to be systematically studied. This research focuses on ten metrics based on a binary confusion matrix and their symmetric behaviour is formally defined under all types of transformations. Through simulated experiments, which cover the full range of datasets and classification results, the symmetric behaviour of these metrics is explored by exposing th

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Olver, Peter J., Jan A. Sanders, and Jing Ping Wang. "Ghost Symmetries." Journal of Nonlinear Mathematical Physics 9, sup1 (2002): 164–72. http://dx.doi.org/10.2991/jnmp.2002.9.s1.14.

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Babelon, Olivier, and Denis Bernard. "Dressing symmetries." Communications in Mathematical Physics 149, no. 2 (1992): 279–306. http://dx.doi.org/10.1007/bf02097626.

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Giraud, B. G. "Symmetries of independent statistical observables for ultrametric populations." Physical Review E 62, no. 3 (2000): 4450–53. http://dx.doi.org/10.1103/physreve.62.4450.

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Deffner, Sebastian, and Wojciech H. Zurek. "Foundations of statistical mechanics from symmetries of entanglement." New Journal of Physics 18, no. 6 (2016): 063013. http://dx.doi.org/10.1088/1367-2630/18/6/063013.

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OBERLACK, Martin, Marta WACŁAWCZYK, Andreas ROSTECK, and Victor AVSARKISOV. "Symmetries and their importance for statistical turbulence theory." Mechanical Engineering Reviews 2, no. 2 (2015): 15–00157. http://dx.doi.org/10.1299/mer.15-00157.

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Dissertations / Theses on the topic "Statistical Symmetries"

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Gustafson, Helen May. "Statistical analysis of symmetric ciphers." Thesis, Queensland University of Technology, 1996.

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Gehrmann, Helene. "Graphical Gaussian models with symmetries." Thesis, University of Oxford, 2011. http://ora.ox.ac.uk/objects/uuid:5f69e996-3f8e-4bfa-891f-0e1ec8d0f9fb.

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This thesis is concerned with graphical Gaussian models with equality constraints on the concentration or partial correlation matrix introduced by Højsgaard and Lauritzen (2008) as RCON and RCOR models. The models can be represented by vertex and edge coloured graphs G = (V,ε), where parameters associated with equally coloured vertices or edges are restricted to being identical. In the first part of this thesis we study the problem of estimability of a non-zero model mean μ if the covariance structure Σ is restricted to satisfy the constraints of an RCON or RCOR model but is otherwise unknown.

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Yasamin, A. S. "Maximal invariants over symmetric cones." [Bloomington, Ind.] : Indiana University, 2008. http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqdiss&rft_dat=xri:pqdiss:3337265.

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Thesis (Ph.D.)--Indiana University, Dept. of Mathematics, 2008.<br>Title from PDF t.p. (viewed on Jul 28, 2009). Source: Dissertation Abstracts International, Volume: 69-12, Section: B, page: 7597. Adviser: Steen Andersson.

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Zhu, Beibei. "Three Essays on Employer Learning and Statistical Discrimination." Diss., Virginia Tech, 2013. http://hdl.handle.net/10919/23168.

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This dissertation consists of three essays studying employer learning and statistical discrimination of young workers in the U.S. labor market. The first chapter outlines the dissertation by discussing the motivations, methods, and research findings.<br /><br />Chapter two develops a framework that nests both symmetric and asymmetric employer learning, and derives testable hypotheses on racial statistical discrimination under different processes of employer learning. Testing the model with data from the NLSY79, we find that employers statistically discriminate against black workers on the basi

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Wang, Xing. "Inferences about Parameters of Trivariate Normal Distribution with Missing Data." FIU Digital Commons, 2013. http://digitalcommons.fiu.edu/etd/933.

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Multivariate normal distribution is commonly encountered in any field, a frequent issue is the missing values in practice. The purpose of this research was to estimate the parameters in three-dimensional covariance permutation-symmetric normal distribution with complete data and all possible patterns of incomplete data. In this study, MLE with missing data were derived, and the properties of the MLE as well as the sampling distributions were obtained. A Monte Carlo simulation study was used to evaluate the performance of the considered estimators for both cases when ρ was known and unknown. Al

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Kim, Hyunjung. "Unit Root Tests in Panel Data: Weighted Symmetric Estimation and Maximum Likelihood Estimation." NCSU, 2001. http://www.lib.ncsu.edu/theses/available/etd-20010823-091533.

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<p>There has been much interest in testing nonstationarity of panel data in the econometric literature. In the last decade, several tests based on the ordinary least squares and Lagrange multiplier methodhave been developed. In contrast to a unit root test in the univariate case,test statistics in panel data have Gaussian limiting distributions.This dissertation considers weighted symmetric estimation and maximum likelihood estimation in the autoregressive model with individual effects.The asymptotic distributions have been derived as the number of individuals and time periods become large. Th

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Niese, Elizabeth M. "Combinatorial Properties of the Hilbert Series of Macdonald Polynomials." Diss., Virginia Tech, 2010. http://hdl.handle.net/10919/26702.

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The original Macdonald polynomials $P_\mu$ form a basis for the vector space of symmetric functions which specializes to several of the common bases such as the monomial, Schur, and elementary bases. There are a number of different types of Macdonald polynomials obtained from the original $P_\mu$ through a combination of algebraic and plethystic transformations one of which is the modified Macdonald polynomial $\widetilde{H}_\mu$. In this dissertation, we study a certain specialization $\widetilde{F}_\mu(q,t)$ which is the coefficient of $x_1x_2 ... x_N$ in $\widetilde{H}_\mu$ and also the Hil

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Balci, Sibel. "Pairwise Multiple Comparisons Under Short-tailed Symmetric Distribution." Master's thesis, METU, 2007. http://etd.lib.metu.edu.tr/upload/3/12608406/index.pdf.

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In this thesis, pairwise multiple comparisons and multiple comparisons with a control are studied when the observations have short-tailed symmetric distributions. Under non-normality, the testing procedure is given and Huber estimators, trimmed mean with winsorized standard deviation, modified maximum likelihood estimators and ordinary sample mean and sample variance used in this procedure are reviewed. Finally, robustness properties of the stated estimators are compared with each other and it is shown that the test based on the modified maximum likelihood estimators has better robustness pr

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Hyatt, Matthew. "Quasisymmetric Functions and Permutation Statistics for Coxeter Groups and Wreath Product Groups." Scholarly Repository, 2011. http://scholarlyrepository.miami.edu/oa_dissertations/609.

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Eulerian quasisymmetric functions were introduced by Shareshian and Wachs in order to obtain a q-analog of Euler's exponential generating function formula for the Eulerian polynomials. They are defined via the symmetric group, and applying the stable and nonstable principal specializations yields formulas for joint distributions of permutation statistics. We consider the wreath product of the cyclic group with the symmetric group, also known as the group of colored permutations. We use this group to introduce colored Eulerian quasisymmetric functions, which are a generalization of Eulerian qua

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Akdemir, Deniz. "A Class of Multivariate Skew Distributions: Properties and Inferential Issues." Bowling Green, Ohio : Bowling Green State University, 2009. http://rave.ohiolink.edu/etdc/view?acc%5Fnum=bgsu1237574643.

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Books on the topic "Statistical Symmetries"

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Keating, Jonathan P. Discrete symmetries and spectral statistics. Hewlett Packard, 1996.

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Brunner, Lawrence J. Bayesian linear regression with error terms that have symmetric unimodal densities. Department of Statistics, University of Toronto, 1989.

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Cai, Jianqing. Statistical inference of the eigenspace components of a symmetric random deformation tensor. Verlag der Bayerischen Akademie der Wissenschaften in Kommission beim Verlags C.H. Beck, 2004.

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Hiroshi, Yadohisa, ed. Data analysis of asymmetric structures: Advanced approaches in computational statistics. Marcel Dekker, 2005.

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G, Genton Marc, ed. Skew-elliptical distributions and their applications: A journey beyond normality. Chapman & Hall/CRC Press, 2004.

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Symmetries in Quantum Mechanics and Statistical Physics. MDPI, 2021. http://dx.doi.org/10.3390/books978-3-0365-2478-8.

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Georg, Junker. Symmetries in Quantum Mechanics and Statistical Physics. Mdpi AG, 2021.

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8

Probabilistic Symmetries and Invariance Principles (Probability and Its Applications). Springer, 2006.

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Kachelriess, Michael. Thermal field theory. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198802877.003.0015.

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After a review of the calculational approaches, the free energy of scalar particles in thermal equilibrium is calculated. The IR behaviour of mass-less scalar fields is examined, finding that a resummation of IR divergent terms is necessary. In general, particles acquire a temperature-dependent (Debye) mass, while symmetries of the Lagrangian may be hidden at low temperatures. In an appendix, the basics of equilibrium statistical physics is reviewe

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Marseken, Susan F., Miriam T. Timpledon, and Lambert M. Surhone, eds. Ring of Symmetric Functions: Algebra, Algebraic Combinatorics, Symmetric Polynomial, Representation Theory of the Symmetric Group, Polynomial Ring, Elementary Symmetric Polynomial, Newton's Identities. Betascript Publishers, 2010.

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Book chapters on the topic "Statistical Symmetries"

1

Cantoni, Vittorio. "Symmetries and Statistical Models." In Symmetries in Science III. Springer US, 1989. http://dx.doi.org/10.1007/978-1-4613-0787-7_7.

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Pocheau, A. "Scale Ratios, Statistical Symmetries and Intermittency." In Fluid Mechanics and Its Applications. Springer Netherlands, 1998. http://dx.doi.org/10.1007/978-94-011-5118-4_59.

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Rasetti, Mario. "The Mapping Class Group in Statistical Mechanics: A Concise Review." In Symmetries in Science III. Springer US, 1989. http://dx.doi.org/10.1007/978-1-4613-0787-7_25.

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Putz, F. C., and M. Oberlack. "Statistical Symmetries in Second Order Turbulence Modeling." In Springer Proceedings in Physics. Springer Nature Switzerland, 2024. http://dx.doi.org/10.1007/978-3-031-55924-2_5.

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Pawlak, Miroslaw. "Statistical Assessment of Signal and Image Symmetries." In Artificial Intelligence and Soft Computing. Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-07173-2_49.

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Mondaini, R. P., and S. C. de Albuquerque Neto. "Pattern recognition of amino acids via a Poisson statistical approach." In Physical and Mathematical Aspects of Symmetries. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-69164-0_39.

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Tsallis, Constantino. "Statistical mechanics for complex systems: On the structure of q-triplets." In Physical and Mathematical Aspects of Symmetries. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-69164-0_7.

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Castellani, C., and C. Di Castro. "Field theory of the metal-insulator transitions in restricted symmetries." In Applications of Field Theory to Statistical Mechanics. Springer Berlin Heidelberg, 1985. http://dx.doi.org/10.1007/3-540-13911-7_84.

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Bleher, P. M., and P. Major. "Phase-Transition in Statistical Physical Models with Discrete and Continuous Symmetries." In The IMA Volumes in Mathematics and its Applications. Springer New York, 1993. http://dx.doi.org/10.1007/978-1-4613-9296-5_2.

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Rosteck, Andreas M., and Martin Oberlack. "New Statistical Symmetries of the Two-Point Correlation Equations for Turbulent Flows." In Springer Proceedings in Physics. Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-28968-2_5.

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Conference papers on the topic "Statistical Symmetries"

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Chernyshov, Kirill. "Using Consistent Measures of Dependence and Symmetric Rényi Divergence in the Statistical Linearization." In 2024 International Russian Automation Conference (RusAutoCon). IEEE, 2024. http://dx.doi.org/10.1109/rusautocon61949.2024.10694249.

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Bartzsch, Hauke T., C. Christian Wolf, Erica Galli, Markus Raffel, Marc Braune, and Markus Löhr. "BOS and HWA Measurements on Rotor Tip Vortices in a High Pressure Wind Tunnel." In Vertical Flight Society 81st Annual Forum and Technology Display. The Vertical Flight Society, 2025. https://doi.org/10.4050/f-0081-2025-253.

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This study investigates Reynolds number effects on rotor wake vortex development using a hyperbaric rotor facility capable of pressurizing air up to 100 bar. Background-oriented schlieren (BOS) and hot-wire anemometry (HWA) were applied to characterize vortex trajectories, core growth, and circumferential velocity distribution. BOS measurements revealed consistent blade-to-blade trajectory deviations and vortex pairing across all operating conditions, despite that the investigated three-bladed rotor was milled from a single piece of aluminum, ensuring precise manufacturing and a highly symmetr

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Pawlak, Miroslaw, and Hajo Holzmann. "Statistical assessment of image symmetries." In 2011 IEEE Statistical Signal Processing Workshop (SSP). IEEE, 2011. http://dx.doi.org/10.1109/ssp.2011.5967827.

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Mello, Pier A., Kurt B. Wolf, Luis Benet, Juan Mauricio Torres, and Peter O. Hess. "Statistical scattering of waves in disordered waveguides: an overview of past and new results." In SYMMETRIES IN NATURE: SYMPOSIUM IN MEMORIAM MARCOS MOSHINSKY. AIP, 2010. http://dx.doi.org/10.1063/1.3537851.

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Amirian, Mohammad Mahdi, and Saeed Shiry Ghidary. "Xeggora: Exploiting Immune-to-Evidence Symmetries with Full Aggregation in Statistical Relational Models (Extended Abstract)." In Twenty-Ninth International Joint Conference on Artificial Intelligence and Seventeenth Pacific Rim International Conference on Artificial Intelligence {IJCAI-PRICAI-20}. International Joint Conferences on Artificial Intelligence Organization, 2020. http://dx.doi.org/10.24963/ijcai.2020/697.

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We present improvements in maximum a-posteriori inference for Markov Logic, a widely used SRL formalism. Several approaches, including Cutting Plane Aggregation (CPA), perform inference through translation to Integer Linear Programs. Aggregation exploits context-specific symmetries independently of evidence and reduces the size of the program. We illustrate much more symmetries occurring in long ground clauses that are ignored by CPA and can be exploited by higher-order aggregations. We propose Full-Constraint-Aggregation, a superior algorithm to CPA which exploits the ignored symmetries via a

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Robles-Granda, Pablo, Sebastian Moreno, and Jennifer Neville. "Unified Representation and Lifted Sampling for Generative Models of Social Networks." In Twenty-Sixth International Joint Conference on Artificial Intelligence. International Joint Conferences on Artificial Intelligence Organization, 2017. http://dx.doi.org/10.24963/ijcai.2017/531.

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Statistical models of network structure are widely used in network science to reason about the properties of complex systems—where the nodes and edges represent entities and their relationships. Recently, a number of generative network models (GNM) have been developed that accurately capture characteristics of real world networks, but since they are typically defined in a procedural manner, it is difficult to identify commonalities in their structure. Moreover, procedural definitions make it difficult to develop statistical sampling algorithms that are both efficient and correct. In this paper

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Zelenyuk, Yuliya. "Computing symmetric colorings of the dihedral group." In INNOVATIONS THROUGH MATHEMATICAL AND STATISTICAL RESEARCH: Proceedings of the 2nd International Conference on Mathematical Sciences and Statistics (ICMSS2016). Author(s), 2016. http://dx.doi.org/10.1063/1.4952492.

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Wei, Tianwen. "Asymptotic analysis of the generalized symmetric FastICA algorithm." In 2014 IEEE Statistical Signal Processing Workshop (SSP). IEEE, 2014. http://dx.doi.org/10.1109/ssp.2014.6884675.

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Delmas, Jean-Pierre, and Habti Abeida. "Unified asymptotic distribution of subspace projectors in complex elliptically symmetric models." In 2023 IEEE Statistical Signal Processing Workshop (SSP). IEEE, 2023. http://dx.doi.org/10.1109/ssp53291.2023.10208085.

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Matusov, Evgeny, Richard Zens, and Hermann Ney. "Symmetric word alignments for statistical machine translation." In the 20th international conference. Association for Computational Linguistics, 2004. http://dx.doi.org/10.3115/1220355.1220387.

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Reports on the topic "Statistical Symmetries"

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Perdigão, Rui A. P., and Julia Hall. Spatiotemporal Causality and Predictability Beyond Recurrence Collapse in Complex Coevolutionary Systems. Meteoceanics, 2020. http://dx.doi.org/10.46337/201111.

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Causality and Predictability of Complex Systems pose fundamental challenges even under well-defined structural stochastic-dynamic conditions where the laws of motion and system symmetries are known. However, the edifice of complexity can be profoundly transformed by structural-functional coevolution and non-recurrent elusive mechanisms changing the very same invariants of motion that had been taken for granted. This leads to recurrence collapse and memory loss, precluding the ability of traditional stochastic-dynamic and information-theoretic metrics to provide reliable information about the n

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Mandrekar, V. On a Limit Theorem and Invariance Principle for Symmetric Statistics. Defense Technical Information Center, 1986. http://dx.doi.org/10.21236/ada177292.

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Mori, Toshio, and Hiroshi Oodaira. Freidlin-Wentzell Type Estimates and the Law of the Iterated Logarithm for a Class of Stochastic Processes Related to Symmetric Statistics. Defense Technical Information Center, 1987. http://dx.doi.org/10.21236/ada185366.

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