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Global Multidisciplinary Journal

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EXPLORING DEPENDENCE STRUCTURES IN FINITE EXCHANGEABLE SEQUENCES

DOI https://doi.org/10.55640/gmj-abc113
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Claude Loisel 1 ,
4 Free University of Brussels, Department of Mathematics, Campus de la Plaine, Brussels, Belgium

Abstract

This study delves into the exploration of dependence structures in finite exchangeable sequences, shedding light on the intricate patterns that govern the relationships between elements within such sequences. Exchangeability, a fundamental concept in probability theory, posits that the joint distribution of a sequence remains invariant under permutations of its elements. By investigating finite exchangeable sequences, this research aims to uncover and comprehend the underlying dependence structures that influence the statistical behavior of the sequence elements. We employ mathematical modeling, statistical analysis, and empirical studies to elucidate the nature and extent of dependencies in finite exchangeable sequences, contributing to a deeper understanding of their probabilistic characteristics.

 

Keywords

Finite exchangeable sequences, dependence structures, exchangeability

References

📄 N. Bäuerle, Inequalities for stochastic models via supermodular orderings, Comm. Statist. Stochastic Models 13 (1997) 181–201.
📄 S. Berg, Factorial series distributions, in: S. Kotz, N.L. Johnson, C.B. Read (Eds.), Encyclopedia of Statistical Sciences, vol. 3, Wiley, New York, 1983, pp. 17–22.
📄 Castañer, M.M. Claramunt, C. Lefèvre, S. Loisel, Discrete Schur-constant models, J. Multivariate Anal. 140 (2015) 343–362.
📄 Y.S. Chow, H. Teicher, Probability Theory: Independence, Interchangeability, Martingales, third ed., Springer, New York, 2003.
📄 Cousin, J.-P. Laurent, Comparison results for exchangeable credit risk portfolios, Insurance Math. Econom. 42 (2008) 1118–1127.
📄 X. Dang, S.L. Keeton, H. Peng, A unified approach for analyzing exchangeable binary data with applications to developmental toxicity studies, Stat. Med. 28 (2009) 2580–2604.
📄 M. Denuit, J. Dhaene, M.J. Goovaerts, R. Kaas, Actuarial Theory for Dependent Risks: Measures, Orders and Models, Wiley, New York, 2005.
📄 M. Denuit, E. Frostig, Comparison of dependence in factor models with application to credit risk portfolios, Probab. Engrg. Inform. Sci. 22 (2008) 151–160.
📄 M. Denuit, C. Lefèvre, Some new classes of stochastic order relations among arithmetic random variables, with applications in actuarial sciences, Insurance Math. Econom. 20 (1997) 197–213.
📄 M. Denuit, C. Lefèvre, M. Shaked, The s-convex orders among real random variables, with applications, Math. Inequal. Appl. 1 (1998) 585–613.
📄 P. Diaconis, Finite forms of de Finetti’s theorem on exchangeability, Synthese 36 (1977) 271–281.
📄 P. Diaconis, D. Freedman, Finite exchangeable sequences, Ann. Probab. 8 (1980) 745–764.
📄 de Finetti, Funzione caratteristica di un fenomeno aleatorio, Mem. Reale Accad. Naz. Lincei 4 (1930) 86–133.

How to Cite

Claude Loisel. (2023). EXPLORING DEPENDENCE STRUCTURES IN FINITE EXCHANGEABLE SEQUENCES. Global Multidisciplinary Journal, 2(02), 01-06. https://doi.org/10.55640/gmj-abc113

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