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Gábor J. Székely

February 12, 2024

The native form of this personal name is Székely J. Gábor. This article uses Western name order when mentioning individuals.

Gábor J. Székely (Hungarian pronunciation: [ˈseːkɛj]; born February 4, 1947, in Budapest) is a Hungarian-American statistician/mathematician best known for introducing energy statistics (E-statistics).[1][2] Examples include: the distance correlation,[3][4][5] which is a bona fide dependence measure, equals zero exactly when the variables are independent; the distance skewness, which equals zero exactly when the probability distribution is diagonally symmetric;[6][7] the E-statistic for normality test;[8] and the E-statistic for clustering.[9]

Gábor J. Székely
Born (1947-02-04) 4 February 1947 (age 77)
Budapest, Hungary
Alma materEötvös Loránd University
Scientific career
FieldsMathematician, Probabilist, Statistician
InstitutionsNational Science Foundation
Hungarian Academy of Sciences
Doctoral advisorAlfréd Rényi

Other important discoveries include the Hungarian semigroups,[10][11][12] the location testing for Gaussian scale mixture distributions,[13] the uncertainty principle of game theory,[14] the half-coin[15] which involves negative probability, and the solution of an old open problem of lottery mathematics: in a 5-from-90 lotto the minimum number of tickets one needs to buy to guarantee that at least one of these tickets has (at least) 2 matches is exactly 100.[16]

Life and career edit

Székely attended the Eötvös Loránd University, Hungary graduating in 1970. His first advisor was Alfréd Rényi. Székely received his Ph.D. in 1971 from Eötvös Loránd University, the Candidate Degree in 1976 under the direction of Paul Erdős and Andrey Kolmogorov, and the Doctor of Science degree from the Hungarian Academy of Sciences in 1986. During the years 1970-1995 he has worked as a Professor in Eötvös Loránd University at the Department of Probability Theory and Statistics.[17]

Between 1985 and 1995 Székely was the first program manager of the Budapest Semesters in Mathematics. Between 1990 and 1997 he was the founding chair of the Department of Stochastics of the Budapest Institute of Technology (Technical University of Budapest) and editor-in-chief of Matematikai Lapok, the official journal of the János Bolyai Mathematical Society.

In 1989 Székely was visiting professor at Yale University, and in 1990-91 he was the first Lukacs Distinguished Professor in Ohio. Since 1995 he has been teaching at the Bowling Green State University at the Department of Mathematics and Statistics.[17] Székely was academic advisor of Morgan Stanley, NY, and Bunge, Chicago, helped to establish the Morgan Stanley Mathematical Modeling Centre in Budapest (2005) and the Bunge Mathematical Institute (BMI) in Warsaw (2006) to provide quantitative analysis to support the firms' global business.

Since 2006 he is a Program Director of Statistics of the National Science Foundation, now retired. Székely is also Research Fellow[18] of the Rényi Institute of Mathematics of the Hungarian Academy of Sciences.

For an informal biographical sketch see Conversations with Gábor J. Székely[19]

Awards edit

Books edit

  • Székely, G. J. (1986) Paradoxes in Probability Theory and Mathematical Statistics, Reidel.
  • Ruzsa, I. Z. and Székely, G. J. (1988) Algebraic Probability Theory, Wiley.
  • Székely, G. J. (editor) (1995) Contests in Higher Mathematics, Springer.
  • Rao, C.R. and Székely, G.J. (editors) (2000) Statistics For The 21st Century: Methodologies For Applications Of The Future (Statistics, Textbooks And Monographs), New York, Marcel Dekker.[22]
  • Guoyan Zheng, Shuo Li, Székely, G. J.(2017)Statistical Shape and Deformation Analysis, 1st Edition, Academic Press.[23]
  • Székely, G.J. and Rizzo, M.L. (2023) The Energy of Data and Distance Correlation, Chapman and Hall/CRC Press, Monographs on Statistics and Applied Probability Volume 171 [1].

Selected works edit

  • Székely, G. J. (1981–82) Why is 7 a mystical number? (in Hungarian) in: MIOK Évkönyv, 482-487, ed. Sándor Scheiber.
  • Székely, G.J. and Ruzsa, I.Z. (1982) Intersections of traces of random walks with fixed sets, Annals of Probability 10, 132-136.
  • Székely, G. J. and Ruzsa, I.Z. (1985) No distribution is prime, Z. Wahrscheinlichkeitstheorie verw. Geb. 70, 263-269.
  • Székely, G. J. and Buczolich, Z. (1989) When is a weighted average of ordered sample elements a maximum likelihood estimator of the location parameter? Advances in Applied Mathematics 10, 439-456. [2]
  • Székely, G. J, Bennett, C.D., and Glass, A. M. W. (2004) Fermat's last theorem for rational exponents, The American Mathematical Monthly 11/4, 322-329.
  • Székely, G. J. (2006) Student's t-test for scale mixtures. Lecture Notes Monograph Series 49, Institute of Mathematical Statistics, 10-18.
  • Székely, G. J., Rizzo, M. L. and Bakirov, N. K. (2007) Measuring and testing independence by correlation of distances, The Annals of Statistics, 35, 2769-2794. arXiv:0803.4101
  • Székely, G. J. and Rizzo, M.L. (2009) Brownian distance covariance, The Annals of Applied Statistics, 3/4, 1233-1308. arXiv:1010.0297
  • Rizzo, M. L. and Székely, G. J. (2010) DISCO analysis: A nonparametric extension of analysis of variance, The Annals of Applied Statistics, 4/2, 1034-1055. arXiv:1011.2288
  • Székely, G.J. and Rizzo, M.L. (2013) Energy statistics: statistics based on distances, Invited paper, Journal of Statistical Planning and Inference, 143/8, 1249-1272.
  • Székely, G.J. and Rizzo, M.L. (2014) Partial distance correlation with methods for dissimilarities, The Annals of Statistics, 42/6, 2382-2412.

References edit

  1. ^ E-Statistics: The energy of statistical samples (2002), G.J.Szekely, PDF 2016-04-20 at the Wayback Machine
  2. ^ Székely, Gábor J.; Rizzo, Maria L. (2017-03-07). (PDF). Annual Review of Statistics and Its Application. 4 (1): 447–479. Bibcode:2017AnRSA...4..447S. doi:10.1146/annurev-statistics-060116-054026. ISSN 2326-8298. S2CID 124457134. Archived from the original (PDF) on 2020-02-26.
  3. ^ Székely, Gábor J.; Rizzo, Maria L.; Bakirov, Nail K. (December 2007). "Measuring and testing dependence by correlation of distances". The Annals of Statistics. 35 (6): 2769–2794. arXiv:0803.4101. doi:10.1214/009053607000000505. ISSN 0090-5364. S2CID 5661488.
  4. ^ Székely and Rizzo (2009).
  5. ^ Newton, Michael A. (December 2009). "Introducing the discussion paper by Székely and Rizzo". The Annals of Applied Statistics. 3 (4): 1233–1235. arXiv:1010.3575. doi:10.1214/09-aoas34intro. ISSN 1932-6157. S2CID 88518770.
  6. ^ Menshenin, Dmitrii O.; Zubkov, Andrew M. (2016-04-03). "On the Szekely-Mori Asymmetry Criterion Statistics for Binary Vectors with Independent Components". Austrian Journal of Statistics. 37 (1): 137. doi:10.17713/ajs.v37i1.295. ISSN 1026-597X. S2CID 55223906.
  7. ^ Henze, Norbert (May 1997). "Limit laws for multivariate skewness in the sense of Móri, Rohatgi and Székely". Statistics & Probability Letterss. 33 (3): 299–307. doi:10.1016/s0167-7152(96)00141-1. ISSN 0167-7152.
  8. ^ Székely, G. J. and Rizzo, M. L. (2005) A new test for multivariate normality, Journal of Multivariate Analysis 93, 58-80.
  9. ^ Szekely, Gabor J.; Rizzo, Maria L. (September 2005). "Hierarchical Clustering via Joint Between-Within Distances: Extending Ward's Minimum Variance Method". Journal of Classification. 22 (2): 151–183. doi:10.1007/s00357-005-0012-9. ISSN 0176-4268. S2CID 206960007.
  10. ^ Ruzsa, Imre Z; Gabor J. Szekely (1988). Algebraic probability theory. John Wiley. ISBN 0-471-91803-2. LCCN 87025444. OCLC 801934734. OL 2395723M.
  11. ^ Raja, C.R.E. (1999) On a class of Hungarian semigroups and the factorization theorem of Khinchin, J. Theoretical Probability 12/2, 561-569.
  12. ^ Zempláni, Andrés (October 1990). "On the heredity of Hun and Hungarian property". Journal of Theoretical Probability. 3 (4): 599–609. doi:10.1007/bf01046099. ISSN 0894-9840. S2CID 118265310.
  13. ^ Székely (2006).
  14. ^ Székely, G. J. and Rizzo, M. L. (2007) The uncertainty principle of game theory, The Americal Mathematical Monthly, 8, 688-702.
  15. ^ Székely, G. J. (2005) Half of a coin: negative probabilities, Wilmott Magazine, July, 66-68.
  16. ^ Füredi, Zoltán; Székely, Gábor J.; Zubor, Zoltán (1996). "On the lottery problem". Journal of Combinatorial Designs (in German). 4 (1): 5–10. doi:10.1002/(SICI)1520-6610(1996)4:1<5::AID-JCD2>3.0.CO;2-J. ISSN 1520-6610.
  17. ^ a b Gabor J. Szekely Retrieved on 12 Feb 2018
  18. ^ "Research Fellows of the Rényi Institute of Mathematics". Archived from the original on 2009-07-24. Retrieved 2011-01-29.
  19. ^ Gel, Yulia R.; Pena, Edsel A.; Wang, Huixia Judy (2023). "Conversations with Gábor J. Székely". Statistical Science. 28 (2): 355–367. doi:10.1214/22-STS873. ISSN 0883-4237. S2CID 253156012.
  20. ^ . Archived from the original on 2020-04-09. Retrieved 2010-08-07.
  21. ^ Introducing the new IMS Fellows, IMS Bulletin, 39/6, p.5, 2010.
  22. ^ Rao, C. Radhakrishna (Calyampudi Radhakrishna); Székely, Gábor J.; Alfréd Rényi Institute of Mathematics, eds. (2000). Statistics for the 21st century : methodologies for applications of the future. New York: Marcel Dekker. ISBN 0-8247-9029-4. OCLC 42866170.
  23. ^ Zheng, Guoyan; Li, Shuo; Székely, Gábor (2017). Statistical shape and deformation analysis : methods, implementation and applications. London: Academic Press. ISBN 978-0-12-810494-1. OCLC 980187516.

External links edit

February 12, 2024
gábor, székely, native, form, this, personal, name, székely, gábor, this, article, uses, western, name, order, when, mentioning, individuals, hungarian, pronunciation, ˈseːkɛj, born, february, 1947, budapest, hungarian, american, statistician, mathematician, b. The native form of this personal name is Szekely J Gabor This article uses Western name order when mentioning individuals Gabor J Szekely Hungarian pronunciation ˈseːkɛj born February 4 1947 in Budapest is a Hungarian American statistician mathematician best known for introducing energy statistics E statistics 1 2 Examples include the distance correlation 3 4 5 which is a bona fide dependence measure equals zero exactly when the variables are independent the distance skewness which equals zero exactly when the probability distribution is diagonally symmetric 6 7 the E statistic for normality test 8 and the E statistic for clustering 9 Gabor J SzekelyBorn 1947 02 04 4 February 1947 age 77 Budapest HungaryAlma materEotvos Lorand UniversityScientific careerFieldsMathematician Probabilist StatisticianInstitutionsNational Science FoundationHungarian Academy of SciencesDoctoral advisorAlfred RenyiOther important discoveries include the Hungarian semigroups 10 11 12 the location testing for Gaussian scale mixture distributions 13 the uncertainty principle of game theory 14 the half coin 15 which involves negative probability and the solution of an old open problem of lottery mathematics in a 5 from 90 lotto the minimum number of tickets one needs to buy to guarantee that at least one of these tickets has at least 2 matches is exactly 100 16 Contents 1 Life and career 2 Awards 3 Books 4 Selected works 5 References 6 External linksLife and career editSzekely attended the Eotvos Lorand University Hungary graduating in 1970 His first advisor was Alfred Renyi Szekely received his Ph D in 1971 from Eotvos Lorand University the Candidate Degree in 1976 under the direction of Paul Erdos and Andrey Kolmogorov and the Doctor of Science degree from the Hungarian Academy of Sciences in 1986 During the years 1970 1995 he has worked as a Professor in Eotvos Lorand University at the Department of Probability Theory and Statistics 17 Between 1985 and 1995 Szekely was the first program manager of the Budapest Semesters in Mathematics Between 1990 and 1997 he was the founding chair of the Department of Stochastics of the Budapest Institute of Technology Technical University of Budapest and editor in chief of Matematikai Lapok the official journal of the Janos Bolyai Mathematical Society In 1989 Szekely was visiting professor at Yale University and in 1990 91 he was the first Lukacs Distinguished Professor in Ohio Since 1995 he has been teaching at the Bowling Green State University at the Department of Mathematics and Statistics 17 Szekely was academic advisor of Morgan Stanley NY and Bunge Chicago helped to establish the Morgan Stanley Mathematical Modeling Centre in Budapest 2005 and the Bunge Mathematical Institute BMI in Warsaw 2006 to provide quantitative analysis to support the firms global business Since 2006 he is a Program Director of Statistics of the National Science Foundation now retired Szekely is also Research Fellow 18 of the Renyi Institute of Mathematics of the Hungarian Academy of Sciences For an informal biographical sketch see Conversations with Gabor J Szekely 19 Awards editRollo Davidson Prize of Cambridge University 1988 Elected Fellow of the International Statistical Institute 1996 Elected Fellow of the American Statistical Association 2000 20 Elected Fellow of the Institute of Mathematical Statistics 2010 21 Books editSzekely G J 1986 Paradoxes in Probability Theory and Mathematical Statistics Reidel Ruzsa I Z and Szekely G J 1988 Algebraic Probability Theory Wiley Szekely G J editor 1995 Contests in Higher Mathematics Springer Rao C R and Szekely G J editors 2000 Statistics For The 21st Century Methodologies For Applications Of The Future Statistics Textbooks And Monographs New York Marcel Dekker 22 Guoyan Zheng Shuo Li Szekely G J 2017 Statistical Shape and Deformation Analysis 1st Edition Academic Press 23 Szekely G J and Rizzo M L 2023 The Energy of Data and Distance Correlation Chapman and Hall CRC Press Monographs on Statistics and Applied Probability Volume 171 1 Selected works editSzekely G J 1981 82 Why is 7 a mystical number in Hungarian in MIOK Evkonyv 482 487 ed Sandor Scheiber Szekely G J and Ruzsa I Z 1982 Intersections of traces of random walks with fixed sets Annals of Probability 10 132 136 Szekely G J and Ruzsa I Z 1985 No distribution is prime Z Wahrscheinlichkeitstheorie verw Geb 70 263 269 Szekely G J and Buczolich Z 1989 When is a weighted average of ordered sample elements a maximum likelihood estimator of the location parameter Advances in Applied Mathematics 10 439 456 2 Szekely G J Bennett C D and Glass A M W 2004 Fermat s last theorem for rational exponents The American Mathematical Monthly 11 4 322 329 Szekely G J 2006 Student s t test for scale mixtures Lecture Notes Monograph Series 49 Institute of Mathematical Statistics 10 18 Szekely G J Rizzo M L and Bakirov N K 2007 Measuring and testing independence by correlation of distances The Annals of Statistics 35 2769 2794 arXiv 0803 4101 Szekely G J and Rizzo M L 2009 Brownian distance covariance The Annals of Applied Statistics 3 4 1233 1308 arXiv 1010 0297 Rizzo M L and Szekely G J 2010 DISCO analysis A nonparametric extension of analysis of variance The Annals of Applied Statistics 4 2 1034 1055 arXiv 1011 2288 Szekely G J and Rizzo M L 2013 Energy statistics statistics based on distances Invited paper Journal of Statistical Planning and Inference 143 8 1249 1272 Szekely G J and Rizzo M L 2014 Partial distance correlation with methods for dissimilarities The Annals of Statistics 42 6 2382 2412 References edit E Statistics The energy of statistical samples 2002 G J Szekely PDF Archived 2016 04 20 at the Wayback Machine Szekely Gabor J Rizzo Maria L 2017 03 07 The Energy of Data PDF Annual Review of Statistics and Its Application 4 1 447 479 Bibcode 2017AnRSA 4 447S doi 10 1146 annurev statistics 060116 054026 ISSN 2326 8298 S2CID 124457134 Archived from the original PDF on 2020 02 26 Szekely Gabor J Rizzo Maria L Bakirov Nail K December 2007 Measuring and testing dependence by correlation of distances The Annals of Statistics 35 6 2769 2794 arXiv 0803 4101 doi 10 1214 009053607000000505 ISSN 0090 5364 S2CID 5661488 Szekely and Rizzo 2009 Newton Michael A December 2009 Introducing the discussion paper by Szekely and Rizzo The Annals of Applied Statistics 3 4 1233 1235 arXiv 1010 3575 doi 10 1214 09 aoas34intro ISSN 1932 6157 S2CID 88518770 Menshenin Dmitrii O Zubkov Andrew M 2016 04 03 On the Szekely Mori Asymmetry Criterion Statistics for Binary Vectors with Independent Components Austrian Journal of Statistics 37 1 137 doi 10 17713 ajs v37i1 295 ISSN 1026 597X S2CID 55223906 Henze Norbert May 1997 Limit laws for multivariate skewness in the sense of Mori Rohatgi and Szekely Statistics amp Probability Letterss 33 3 299 307 doi 10 1016 s0167 7152 96 00141 1 ISSN 0167 7152 Szekely G J and Rizzo M L 2005 A new test for multivariate normality Journal of Multivariate Analysis 93 58 80 Szekely Gabor J Rizzo Maria L September 2005 Hierarchical Clustering via Joint Between Within Distances Extending Ward s Minimum Variance Method Journal of Classification 22 2 151 183 doi 10 1007 s00357 005 0012 9 ISSN 0176 4268 S2CID 206960007 Ruzsa Imre Z Gabor J Szekely 1988 Algebraic probability theory John Wiley ISBN 0 471 91803 2 LCCN 87025444 OCLC 801934734 OL 2395723M Raja C R E 1999 On a class of Hungarian semigroups and the factorization theorem of Khinchin J Theoretical Probability 12 2 561 569 Zemplani Andres October 1990 On the heredity of Hun and Hungarian property Journal of Theoretical Probability 3 4 599 609 doi 10 1007 bf01046099 ISSN 0894 9840 S2CID 118265310 Szekely 2006 Szekely G J and Rizzo M L 2007 The uncertainty principle of game theory The Americal Mathematical Monthly 8 688 702 Szekely G J 2005 Half of a coin negative probabilities Wilmott Magazine July 66 68 Furedi Zoltan Szekely Gabor J Zubor Zoltan 1996 On the lottery problem Journal of Combinatorial Designs in German 4 1 5 10 doi 10 1002 SICI 1520 6610 1996 4 1 lt 5 AID JCD2 gt 3 0 CO 2 J ISSN 1520 6610 a b Gabor J Szekely Retrieved on 12 Feb 2018 Research Fellows of the Renyi Institute of Mathematics Archived from the original on 2009 07 24 Retrieved 2011 01 29 Gel Yulia R Pena Edsel A Wang Huixia Judy 2023 Conversations with Gabor J Szekely Statistical Science 28 2 355 367 doi 10 1214 22 STS873 ISSN 0883 4237 S2CID 253156012 Your Career Archived from the original on 2020 04 09 Retrieved 2010 08 07 Introducing the new IMS Fellows IMS Bulletin 39 6 p 5 2010 Rao C Radhakrishna Calyampudi Radhakrishna Szekely Gabor J Alfred Renyi Institute of Mathematics eds 2000 Statistics for the 21st century methodologies for applications of the future New York Marcel Dekker ISBN 0 8247 9029 4 OCLC 42866170 Zheng Guoyan Li Shuo Szekely Gabor 2017 Statistical shape and deformation analysis methods implementation and applications London Academic Press ISBN 978 0 12 810494 1 OCLC 980187516 External links editSzekely s website Archived 2010 11 12 at the Wayback Machine Gabor J Szekely at the Mathematics Genealogy Project Retrieved from https en wikipedia org w index php title Gabor J Szekely amp oldid 1196523352, wikipedia, wiki, book, books, library,

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