Measuring statistical heterogeneity: The Pietra index
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Various algorithms have been proposed to address systems heterogeneity.
“Various algorithms [33], [35] have been proposed to address systems heterogeneity.”
From Challenges, Applications and Design Aspects of Federated Learning: A Survey (2021) · cites this paper as [35]
Cites
Elements of Information Theory
Cover, T. M., & Thomas, J. A. (2001) · Wiley eBooks · doi:10.1002/0471200611 · Cited by 37,139 · see citing works
Elements of Information Theory
Cover, T. M., & Thomas, J. A. (2005) · doi:10.1002/047174882x · Cited by 13,791 · see citing works
Information theory and statistical mechanics
Jaynes, E. T. (1957) · Physical Review · doi:10.1103/physrev.106.620 · Cited by 12,931 · see citing works
The random walk's guide to anomalous diffusion: a fractional dynamics approach
Metzler, R., & Klafter, J. (2000) · Physics Reports · doi:10.1016/s0370-1573(00)00070-3 · Cited by 9,068 · see citing works
Mathematical Analysis of Random Noise
Rice, S. O. (1944) · Bell System Technical Journal · doi:10.1002/j.1538-7305.1944.tb00874.x · Cited by 5,523 · see citing works
“Options, Futures, and Other Derivatives”
(2016) · AMBER – ABBS Management Business and Entrepreneurship Review · doi:10.23874/amber/2016/v7/i1/121351 · Cited by 5,080 · see citing works
The Large-Scale Organization of Metabolic Networks
Jeong, H., Tombor, B., Albert, R., Oltvai, Z. N., & Barabási, A.-L. (2000) · Nature · doi:10.1038/35036627 · Cited by 4,972 · see citing works
Diameter of the World-Wide Web
Albert, R., Jeong, H., & Barabási, A.-Ĺ. (1999) · Nature · doi:10.1038/43601 · Cited by 4,240 · see citing works
Options, Futures and Other Derivatives
Kariya, T., & Liu, R. Y. (2003) · Springer eBooks · doi:10.1007/978-1-4419-9230-7_2 · Cited by 3,976 · see citing works
Anomalous transit-time dispersion in amorphous solids
Scher, H., & Montroll, E. W. (1975) · Physical review. B, Solid state · doi:10.1103/physrevb.12.2455 · Cited by 3,120 · see citing works
Fundamentals of Queueing Theory.
Moore, R. H., Gross, D. W., & Harris, C. M. (1977) · Journal of the American Statistical Association · doi:10.2307/2286953 · Cited by 2,965 · see citing works
Mathematical Analysis of Random Noise
Rice, S. O. (1945) · Bell System Technical Journal · doi:10.1002/j.1538-7305.1945.tb00453.x · Cited by 2,912 · see citing works
Applied Probability Models with Optimization Applications.
Gani, J., & Ross, S. M. (1971) · Journal of the American Statistical Association · doi:10.2307/2284258 · Cited by 2,242 · see citing works
Zipf Distribution of U.S. Firm Sizes
Axtell, R. L. (2001) · Science · doi:10.1126/science.1062081 · Cited by 1,839 · see citing works
Noah, Joseph, and Operational Hydrology
Mandelbrot, B. B., & Wallis, J. R. (1968) · Water Resources Research · doi:10.1029/wr004i005p00909 · Cited by 1,122 · see citing works
Initial community evenness favours functionality under selective stress
Wittebolle, L., Marzorati, M., Clement, L., Balloi, A., Daffonchio, D. G., Heylen, K., Vos, P. D., Verstraete, W., & Boon, N. (2009) · Nature · doi:10.1038/nature07840 · Cited by 979 · see citing works
Introduction to the Theory of Queues.
Newell, G. F., & Takács, L. (1963) · American Mathematical Monthly · doi:10.2307/2312102 · Cited by 978 · see citing works
A New Approach to Galaxy Morphology. I. Analysis of the Sloan Digital Sky Survey Early Data Release
Abraham, R. G., van den Bergh, S., & Nair, P. B. (2003) · The Astrophysical Journal · doi:10.1086/373919 · Cited by 445 · see citing works
Introduction to the Theory of Queues
Jackson, R. R. P., & Takács, L. (1963) · OR · doi:10.2307/3007378 · Cited by 424 · see citing works
Confidence Limits for an Unknown Distribution Function
Kolmogoroff, A. (1941) · The Annals of Mathematical Statistics · doi:10.1214/aoms/1177731684 · Cited by 420 · see citing works
Statistical properties of share volume traded in financial markets
Gopikrishnan, P., Plerou, V., Gabaix, X., & Stanley, E. (2000) · Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · doi:10.1103/physreve.62.r4493 · Cited by 320 · see citing works
Fundamentals of Queueing Theory.
Coleman, R., Gross, D. W., & Harris, C. M. (1975) · Journal of the Royal Statistical Society Series A (General) · doi:10.2307/2344588 · Cited by 293 · see citing works
On the Kolmogorov-Smirnov Limit Theorems for Empirical Distributions
Feller, W. (1948) · The Annals of Mathematical Statistics · doi:10.1214/aoms/1177730243 · Cited by 239 · see citing works
Risk-Neutral Valuation: Pricing and Hedging of Financial Derivatives
Bingham, Ν. H., & Kiesel, R. (2001) · doi:10.1007/978-1-4471-3619-4 · Cited by 213 · see citing works
Gini Coefficient: A New Way To Express Selectivity of Kinase Inhibitors against a Family of Kinases
Graczyk, P. P. (2007) · Journal of Medicinal Chemistry · doi:10.1021/jm070562u · Cited by 213 · see citing works
Naeem, S. (2009) · Nature · doi:10.1038/458579a · Cited by 40 · see citing works
The M/G/∞ system revisited: finiteness, summability, long range dependence, and reverse engineering
Eliazar, I. (2006) · Queueing Systems · doi:10.1007/s11134-006-9005-6 · Cited by 24 · see citing works
Self-citationShot noise displaying simultaneously the Noah and Joseph effects
Eliazar, I., & Klafter, J. (2007) · Physical Review E · doi:10.1103/physreve.75.031108 · Cited by 22 · see citing works
Self-citationLorenzian analysis of infinite Poissonian populations and the phenomena of Paretian ubiquity
Eliazar, I. (2007) · Physica A Statistical Mechanics and its Applications · doi:10.1016/j.physa.2007.08.003 · Cited by 15 · see citing works
Self-citation
Flagged first, then by citations
Cited by
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Federated Learning in Mobile Edge Networks: A Comprehensive Survey
Lim, W. Y. B., Luong, N. C., Hoang, D. T., Jiao, Y., Liang, Y.-C., Yang, Q., Niyato, D., & Miao, C. (2020) · IEEE Communications Surveys & Tutorials · doi:10.1109/comst.2020.2986024 · Cited by 2,565 · see citing works
A Survey on Federated Learning for Resource-Constrained IoT Devices
Imteaj, A., Thakker, U., Wang, S., Li, J., & Amini, M. H. (2022) · IEEE Internet of Things Journal · doi:10.1109/jiot.2021.3095077 · Cited by 774 · see citing works
Challenges, Applications and Design Aspects of Federated Learning: A Survey
Rahman, K. M. J., Ahmed, F., Akhter, N., Hasan, M., Amin, R., Aziz, K. E., Islam, A. K. M. M., Mukta, M. S. H., & Islam, A. K. M. N. (2021) · IEEE Access · doi:10.1109/access.2021.3111118 · Cited by 147 · see citing works
Inequality in societies, academic institutions and science journals: Gini and k -indices
Ghosh, A., Chattopadhyay, N., & Chakrabarti, B. K. (2014) · Physica A Statistical Mechanics and its Applications · doi:10.1016/j.physa.2014.05.026 · Cited by 99 · see citing works
Measuring statistical evenness: A panoramic overview
Eliazar, I., & Sokolov, I. M. (2011) · Physica A Statistical Mechanics and its Applications · doi:10.1016/j.physa.2011.09.007 · Cited by 96 · see citing works
Self-citationFederated Learning for Resource-Constrained IoT Devices: Panoramas and State of the Art
Imteaj, A., Mamun Ahmed, K., Thakker, U., Wang, S., Li, J., & Amini, M. H. (2023) · Adaptation, Learning, and Optimization · doi:10.1007/978-3-031-11748-0_2 · Cited by 86 · see citing works
Gini objective functions for three-way classifications
Yan, Z., & Yao, J. (2016) · International Journal of Approximate Reasoning · doi:10.1016/j.ijar.2016.11.005 · Cited by 67 · see citing works
Socio-economic inequality: Relationship between Gini and Kolkata indices
Chatterjee, A., Ghosh, A., & Chakrabarti, B. K. (2016) · Physica A Statistical Mechanics and its Applications · doi:10.1016/j.physa.2016.09.027 · Cited by 54 · see citing works
The sociogeometry of inequality: Part II
Eliazar, I. (2015) · Physica A Statistical Mechanics and its Applications · doi:10.1016/j.physa.2014.12.021 · Cited by 47 · see citing works
Self-citationSarabia, J. M., & Jordá, V. (2014) · Physica A Statistical Mechanics and its Applications · doi:10.1016/j.physa.2014.09.025 · Cited by 45 · see citing works
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Eliazar, I. (2015) · Physica A Statistical Mechanics and its Applications · doi:10.1016/j.physa.2015.01.016 · Cited by 45 · see citing works
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Arellana, J., Oviedo, D. R., Guzmán, L. A., & Alvarez, V. (2020) · Research in Transportation Business & Management · doi:10.1016/j.rtbm.2020.100554 · Cited by 45 · see citing works
Eliazar, I. (2017) · Annals of Physics · doi:10.1016/j.aop.2017.12.010 · Cited by 44 · see citing works
Self-citationInoue, J., Ghosh, A., Chatterjee, A., & Chakrabarti, B. K. (2015) · Physica A Statistical Mechanics and its Applications · doi:10.1016/j.physa.2015.01.082 · Cited by 40 · see citing works
Eliazar, I. (2016) · Physics Reports · doi:10.1016/j.physrep.2016.07.005 · Cited by 37 · see citing works
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Eliazar, I., & Sokolov, I. M. (2010) · Physica A Statistical Mechanics and its Applications · doi:10.1016/j.physa.2010.07.005 · Cited by 29 · see citing works
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Banerjee, S., Chakrabarti, B. K., Mitra, M., & Mutuswami, S. (2019) · Physica A Statistical Mechanics and its Applications · doi:10.1016/j.physa.2019.123178 · Cited by 23 · see citing works
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Eliazar, I., & Cohen, M. H. (2014) · Physica A Statistical Mechanics and its Applications · doi:10.1016/j.physa.2014.01.059 · Cited by 22 · see citing works
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Eliazar, I. (2010) · Physica A Statistical Mechanics and its Applications · doi:10.1016/j.physa.2010.11.008 · Cited by 21 · see citing works
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Chatterjee, A., Ghosh, A., & Chakrabarti, B. K. (2017) · Evolutionary economics and social complexity science · doi:10.1007/978-981-10-5705-2_3 · Cited by 16 · see citing works
Shawkat, M., El-desoky, A., Ali, Z. H., & Salem, M. M. (2025) · Peer-to-Peer Networking and Applications · doi:10.1007/s12083-025-01991-0 · Cited by 18 · see citing works
Sarabia, J. M., Jordá, V., & Prieto, F. (2019) · Physica A Statistical Mechanics and its Applications · doi:10.1016/j.physa.2019.121277 · Cited by 18 · see citing works
Mean-performance of sharp restart: II. Inequality roadmap
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Toscani, G. (2022) · Entropy · doi:10.3390/e24101393 · Cited by 15 · see citing works
Entropy factor for randomness quantification in neuronal data
Rajdl, K., Lánský, P., & Kostal, L. (2017) · Neural Networks · doi:10.1016/j.neunet.2017.07.016 · Cited by 15 · see citing works
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Eliazar, I., & Sokolov, I. M. (2012) · Physica A Statistical Mechanics and its Applications · doi:10.1016/j.physa.2012.01.030 · Cited by 14 · see citing works
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Chatterjee, A., Ghosh, A., Inoue, J.-I., & Chakrabarti, B. K. (2015) · Journal of Physics Conference Series · doi:10.1088/1742-6596/638/1/012014 · Cited by 13 · see citing works
Tanak, A. K., Borzadaran, G. R. M., & Ahmadi, J. (2018) · Physica A Statistical Mechanics and its Applications · doi:10.1016/j.physa.2018.07.050 · Cited by 13 · see citing works
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Self-citation
- Authors
- Eliazar, I. I., & Sokolov, I. M.
- Affiliations
- Holon Institute of Technology (IL)
- Humboldt-Universität zu Berlin (DE)
- Corresponding author
- Eliazar, Iddo I.
- Venue
- Physica A: Statistical Mechanics and its Applications
- Publisher
- Elsevier BV
- Published
- 2010-01
- Volume
- 389
- Issue
- 1
- Pages
- 117-125
- ISSN
- 0378-4371 (ISSN-L)
- OpenAlex
- W2056899845
- Cited by
- 85
- References
- 29
- Citations by year
- 2026: 6 · 2025: 1 · 2024: 1 · 2023: 5 · 2022: 5 · 2021: 5 · 2020: 22 · 2019: 6 · 2018: 1 · 2017: 7 · 2016: 10 · 2015: 6 · 2014: 4 · 2012: 1
- FWCI
- 4.49
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Physica A Statistical Mechanics and its Applications (publishedVersion)
- RePEc: Research Papers in Economics (submittedVersion)
- Topics
- Social Sciences › Economics, Econometrics and Finance › Economics and Econometrics › Complex Systems and Time Series Analysis
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Statistical Mechanics and Entropy
- Physical Sciences › Mathematics › Statistics and Probability › Probability and Statistical Research
- Keywords
- statistical heterogeneity, Gini coefficient, Kolmogorov-Smirnov statistic, Pareto distribution, heavy-tailed distributions, skewed distributions, renewal processes, continuous time random walk, shot noise processes, financial derivatives, inequality measurement
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