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Geometrical aspects of a generalized statistical mechanics

Portesi, M.; Pennini, F.; Plastino, A. - In: Physica A: Statistical Mechanics and its Applications 373 (2007) C, pp. 273-282

We discuss here the use of generalized forms of entropy, taken as information measures, to characterize phase transitions and critical behavior in thermodynamic systems. Our study is based on geometric considerations pertaining to the space of parameters that describe statistical mechanics...

Persistent link: https://www.econbiz.de/10010872062

Professor C.R. Rao, the Founder President of the Indian Econometric Society is Awarded the International Prize in Statistics, 2023

Kumar, T. Krishna - In: Journal of quantitative economics 21 (2023) 3, pp. 473-480

Persistent link: https://www.econbiz.de/10014381121

Geometry-inference based clustering heuristic : new k-means metric for Gaussian data and experimental proof of concept

El Khattabi, Mohammed Zakariae; El Jai, Mostapha; … - In: Operations research forum 5 (2024) 1, pp. 1-26

Persistent link: https://www.econbiz.de/10014517551

Limiting behavior of relative Rényi entropy in a non-regular location shift family

Hayashi, Masahito - In: Annals of the Institute of Statistical Mathematics 62 (2010) 3, pp. 547-569

Persistent link: https://www.econbiz.de/10008552393

Dual connections in nonparametric classical information geometry

Grasselli, M. - In: Annals of the Institute of Statistical Mathematics 62 (2010) 5, pp. 873-896

Persistent link: https://www.econbiz.de/10008533954

The geometry of proper scoring rules

Dawid, A. - In: Annals of the Institute of Statistical Mathematics 59 (2007) 1, pp. 77-93

Persistent link: https://www.econbiz.de/10005169182

Information geometry of small diffusions

Sei, Tomonari; Komaki, Fumiyasu - In: Statistical Inference for Stochastic Processes 11 (2008) 2, pp. 123-141

Persistent link: https://www.econbiz.de/10005184567

Iterative Approximation of Statistical Distributions and Relation to Information Geometry

Dodson, C.; Wang, H. - In: Statistical Inference for Stochastic Processes 4 (2001) 3, pp. 307-318

Persistent link: https://www.econbiz.de/10005616049

Extending local mixture models

Marriott, Paul - In: Annals of the Institute of Statistical Mathematics 59 (2007) 1, pp. 95-110

Persistent link: https://www.econbiz.de/10005616344

Fisher information under restriction of Shannon information in multi-terminal situations

Amari, Shun-ichi - In: Annals of the Institute of Statistical Mathematics 41 (1989) 4, pp. 623-648

Persistent link: https://www.econbiz.de/10005616417