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Fang Kaitai

January 01, 1970

In this Chinese name, the family name is Fang.

Fang Kaitai (Chinese: 方开泰; born 1940), also known as Kai-Tai Fang, is a Chinese mathematician and statistician who has helped to develop generalized multivariate analysis, which extends classical multivariate analysis beyond the multivariate normal distribution to more general elliptical distributions.[7][8] He has also contributed to the design of experiments.

Fang Kaitai
Born1940 (age 83–84)
Taizhou, Jiangsu, China
Alma materPeking University
Known forElliptical distributions
Generalized multivariate analysis
Uniform experimental designs
AwardsElected Member of the ISI; Fellow of the IMS, HKSS,[1][2] and ASA;[3] President's Award for Outstanding Performance in Scholarly Work, HKBU;[2] most excellent book in China (Government Information and Publication Administration).[2]
Scientific career
FieldsMathematics
Statistics
InstitutionsHong Kong Baptist University, Chinese Academy of Sciences
Doctoral advisorPao-Lu Hsu[4]
Other academic advisorsMinyi Yue
Notable studentsA. M. Elsawah, Chen Hang-feng, Fan Jianqing, Quan Hui, Wu Yue-hua, Xu Jing-Iun, Zhang Hong-qing[5][6]
Chinese name
Traditional Chinese方開泰
Simplified Chinese方开泰
Transcriptions
Standard Mandarin
Hanyu PinyinFāng Kāitài
Wade–GilesFang1 K'ai1-t'ai4

Selected university offices and honors edit

Fang is Director of Institute of Statistics and Computational Intelligence and Emeritus Professor at Hong Kong Baptist University,[1] after having been Full Professor of the Institute of Applied Mathematics of the Chinese Academy of Sciences.[2] He is an Elected Fellow (or Elected Member) of the Institute of Mathematical Statistics,[2] of the International Statistical Institute (ISI), of the American Statistical Association (ASA), and of the Hong Kong Statistical Society (HKSS).[1][2][3] The Hong Kong Baptist University honored Professor Fang with the President's Award for Outstanding Performance in Scholarly Work in 2001.[2] Fang and Zhang's book Generalized multivariate analysis was honored as a "most excellent book in China"[9] by the Government Information and Publication Administration.[2]

Biography edit

Fang's early life is described by Agnes Loie in a volume published on his 65th birthday.[2] Fang was born in 1940 in Taizhou in the province of Jiangsu in China. He graduated from Jiangsu's Yangzhou High School.[2]

University studies and the Cultural Revolution edit

In 1957 he studied mathematics at Peking University, after which he entered the graduate program at the Institute of Mathematics of the Chinese Academy of Sciences, in Beijing.[2] His doctoral supervisor was Pao-Lu Hsu, who suggested that Fang provide a multivariate generalization and correction of a univariate result, which had been given an incomplete proof in a Russian paper. With two weeks' work, Fang's submitted his extensions, which were declared by Hsu to suffice for his dissertation. Unfortunately, this paper remained unpublished for 19 years because the Cultural Revolution destroyed academic publishing in China.[4][10] Fang reported that his studies were halted for the ten years of the Cultural Revolution,[11] which lasted from 1966 to 1976.[12]

After graduating from Peking University, he undertook postgraduate studies at the Institute of Mathematics of Academia Sinica, which had less "political chaos" than Peking University, according to Fang.[4] There, as a postgraduate researcher, Fang was supervised by Minyi Yue. In 1965, he was assigned to the Anshan Steel and Iron Company, where he gave lectures to engineers and worked on nonlinear regression, before being sent to a rural village to work as a laborer for the rest of 1965 and 1966.[4] In 1972 Fang and other staff at the Academy of Sciences promoted the use of experimental design to improve Tsingtao Beer.[13]

Revival of academic life edit

Fang was successively appointed to be assistant researcher and assistant professor in 1978.[2] He then joined the Institute of Applied Mathematics of the Chinese Academy of Sciences, and he became Associate Professor in 1980 and associate director of the institute in 1984. He was appointed full professor in 1986.[2]

Multivariate analysis edit

 
Fang has contributed to the theory of elliptical distributions, like bivariate normal distribution (pictured), which have elliptical contours.

In mathematical statistics, Fang has published textbooks and monographs in multivariate analysis. In particular, his books have extended classical multivariate analysis beyond the multivariate normal distribution to a generalized multivariate analysis using more general elliptical distributions, which have elliptically contoured distributions.[14][15]

His book on Generalized multivariate analysis (with Zhang) has extensive results on multivariate analysis for elliptical distributions,[16] to which T. W. Anderson refers readers of his An introduction to multivariate statistical analysis (3rd ed., 2003).[17] The Fang and Zhang monograph used matrix differential calculus.[7][16] One of Generalized multivariate analysis's innovations was its extensive use of the multilinear algebra, particularly of the Kronecker product and of vectorization, according to Kollo and von Rosen.[18] Fang and Zhang's Generalized multivariate analysis was honored as a "most excellent book in China"[9] by the Government Information and Publication Administration.[2]

Combinatorial design and experiments: uniform designs edit

See also: Fractional factorial design, Plackett–Burman design, Taguchi methods, and Discrepancy theory

Fang also has conducted research in the design of experiments. In 1972, he worked with the Tsingdao Beer factory and other factories. He and other mathematical statisticians at the Chinese Academy of Sciences promoted the industrial use of orthogonal designs.[4] Orthogonal designs are discussed in the books and papers of Fang on "uniform designs" and also by other authors.[19][20][21]

Fang recognized that high-dimensional combinatorial designs, which had been used for numerical integration on the unit cube by Hua Luogeng and Wang Yuan, could be used to study interaction, for example, in factorial experiments and response surface methodology. Collaborating with Wang led to Fang's uniform designs, which have been used also in computer simulations.[22][23][24][25][26]

References edit

  1. ^ a b c Homepage at Hong Kong Baptist University.
  2. ^ a b c d e f g h i j k l m n Loie (2005, pp. 1–2)
  3. ^ a b 2001 Fellows of the American Statistical Association (ASA) 2016-06-16 at the Wayback Machine, accessed 2016-09-02.
  4. ^ a b c d e Loie (2005, pp. 6–7)
  5. ^ Fang & Zhang (1990, Preface, p. vi.)
  6. ^ Fang's students at the Hong Kong Baptist university are listed at the entry Fang Kaitai at the Mathematics Genealogy Project.
  7. ^ a b Pan, Jianxin; Fang, Kaitai (2007). Growth curve models and statistical diagnostics (PDF). Springer series in statistics. Science Press (Beijing) and Springer-Verlag (New York). doi:10.1007/978-0-387-21812-0. ISBN 978-0-387-95053-2. OCLC 44162563.
  8. ^ OCLC listing of publications by K'ai-T'ai Fang. Retrieved 4 September 2016.
  9. ^ a b Loie describes the award as only "most excellent book", without the indefinite article "a", which here is inserted (in accordance with standard written English).
  10. ^ According to (Loie 2005, pp. 7 and 32), Fang's thesis was published as Fang (1981) (with details from zbMath): Fang, Kai-tai (1981). "The limit distribution of linear permutation statistics and its applications". Acta Mathematicae Applicatae Sinica (in Chinese and English). 4. Chinese Academy of Sciences, Institute of Applied Mathematics, Beijing: 69–82. ISSN 0254-3079. OCLC 4312320. Zbl 0473.60032.
  11. ^ Loie (2005, p. 5)
  12. ^ Kraus, Richard Curt (2012). The Cultural Revolution: A very short introduction. Very Short Introductions. New York: Oxford University Press. ISBN 978-0-19-974055-0.
  13. ^ Loie (2005, p. 8)
  14. ^ Fang, Kai-Tai; Kotz, Samuel; Ng, Kai Wang ("Kai-Wang" on front cover) (1990). Symmetric multivariate and related distributions. Monographs on statistics and applied probability. Vol. 36. London: Chapman and Hall. ISBN 0-412-314-304. OCLC 123206055.
  15. ^ Fang, Kai-Tai; Anderson, T. W., eds. (1990). Statistical inference in elliptically contoured and related distributions. New York: Allerton Press. ISBN 0-89864-048-2. OCLC 20490516.
  16. ^ a b Fang & Zhang (1990)
  17. ^ Anderson (2003, Sections 2.7, 3.6, 7.9, and 10.11, as noted on p. 695): Anderson, T. W. (2003). An introduction to multivariate statistical analysis (3rd ed.). New York: John Wiley and Sons. ISBN 9789812530967.
  18. ^ Kollo & von Rosen (2005, p. xiii): Kollo, Tõnu; von Rosen, Dietrich (2005). Advanced multivariate statistics with matrices. Dordrecht: Springer. ISBN 978-1-4020-3418-3.
  19. ^ Bailey, Rosemary A. (2004), Association schemes: Designed experiments, algebra and combinatorics, Cambridge University Press, ISBN 978-0-521-82446-0, MR 2047311
  20. ^ Hedayat, A. S.; Sloane, N. J. A.; Stufken, J. (1999). Orthogonal arrays, theory and applications. New York: Springer. doi:10.1007/978-1-4612-1478-6. ISBN 978-0-387-98766-8. OCLC 41278468.
  21. ^ Mukerjee, Rahul; Wu, C. F. Jeff (2006). A modern theory of factorial design. Springer series in statistics. New York: Springer-Verlag. doi:10.1007/0-387-37344-6. ISBN 978-0-387-31991-9.
  22. ^ Loie (2005)
  23. ^ Fang, Kai-Tai; Wang, Yuan (1993). . Chapman and Hall Monographs on Statistics and Applied Probability. Vol. 51. CRC Press. ISBN 0-412-46520-5. OCLC 246555560. Archived from the original on 2017-03-05. Retrieved 2016-09-04.
  24. ^ Fang, Kai-Tai; Wang, Yuan; Bentler, Peter M. (1994). "Some applications of number-theoretic methods in statistics". Statistical Science. 9 (3): 416–428. doi:10.1214/ss/1177010392.
  25. ^ Santner, Williams & Notz (2003, Chapter 5.4 "Uniform designs", 145–148): Santner, Thomas J.; Williams, Brian J.; Notz, William I. (2003). The design and analysis of computer experiments. Springer Series in Statistics (2013 printing ed.). Springer-Verlag. ISBN 1-4757-3799-8.
  26. ^ Li & Yuan (2005, pp. xi and xx–xxi "7) Number-theoretic methods in statistics")
  • Fang, Kai-Tai; Zhang, Yao-Ting (1990). Generalized multivariate analysis. Science Press (Beijing) and Springer-Verlag (Berlin). ISBN 3-540-17651-9. OCLC 622932253.
  • Li, Wenlin; Yuan, Xiangdong (2005). "Wang Yuan: A brief outline of his life and works". In Wang, Yuan (ed.). Selected papers of Wang Yuan. Singapore: World Scientific. pp. xi–xxii. doi:10.1142/9789812701190_fmatter. ISBN 9812561978. OCLC 717731203.
  • Loie, Agnes W. L. (2005). "A conversation with Kai-Tai Fang". In Fan, Jianqing; Li, Gang (eds.). Contemporary multivariate analysis and design of experiments: In celebration of Professor Kai-Tai Fang's 65th Birthday. Series in biostatistics. Vol. 2. New Jersey and Hong Kong: World Scientific. pp. 1–22. ISBN 981-256-120-X. OCLC 63193398.

Further reading edit

  • Fan, Jianqing; Li, Gang, eds. (2005). Contemporary multivariate analysis and design of experiments: In celebration of Professor Kai-Tai Fang's 65th Birthday. Series in biostatistics. Vol. 2. New Jersey and Hong Kong: World Scientific. ISBN 981-256-120-X. OCLC 63193398.
  • Loie, Agnes W. L. (2005). "A tribute to Professor Kai-Tai Fang". In Fan, Jianqing; Li, Gang (eds.). Contemporary multivariate analysis and design of experiments: In celebration of Professor Kai-Tai Fang's 65th Birthday. Series in biostatistics. Vol. 2. New Jersey and Hong Kong: World Scientific. pp. 23–28. ISBN 981-256-120-X. OCLC 63193398. A collection of tributes by T. W. Anderson, Fred Hickerenell, Rahul Mukerjee, Dietrich von Rosen, Yuan Wang, and Peter Winker.

External links edit

January 01, 1970
fang, kaitai, this, chinese, name, family, name, fang, chinese, 方开泰, born, 1940, also, known, fang, chinese, mathematician, statistician, helped, develop, generalized, multivariate, analysis, which, extends, classical, multivariate, analysis, beyond, multivari. In this Chinese name the family name is Fang Fang Kaitai Chinese 方开泰 born 1940 also known as Kai Tai Fang is a Chinese mathematician and statistician who has helped to develop generalized multivariate analysis which extends classical multivariate analysis beyond the multivariate normal distribution to more general elliptical distributions 7 8 He has also contributed to the design of experiments Fang KaitaiBorn1940 age 83 84 Taizhou Jiangsu ChinaAlma materPeking UniversityKnown forElliptical distributionsGeneralized multivariate analysisUniform experimental designsAwardsElected Member of the ISI Fellow of the IMS HKSS 1 2 and ASA 3 President s Award for Outstanding Performance in Scholarly Work HKBU 2 most excellent book in China Government Information and Publication Administration 2 Scientific careerFieldsMathematicsStatisticsInstitutionsHong Kong Baptist University Chinese Academy of SciencesDoctoral advisorPao Lu Hsu 4 Other academic advisorsMinyi YueNotable studentsA M Elsawah Chen Hang feng Fan Jianqing Quan Hui Wu Yue hua Xu Jing Iun Zhang Hong qing 5 6 Chinese nameTraditional Chinese方開泰Simplified Chinese方开泰TranscriptionsStandard MandarinHanyu PinyinFang KaitaiWade GilesFang1 K ai1 t ai4 Contents 1 Selected university offices and honors 2 Biography 2 1 University studies and the Cultural Revolution 2 2 Revival of academic life 3 Multivariate analysis 4 Combinatorial design and experiments uniform designs 5 References 6 Further reading 7 External linksSelected university offices and honors editFang is Director of Institute of Statistics and Computational Intelligence and Emeritus Professor at Hong Kong Baptist University 1 after having been Full Professor of the Institute of Applied Mathematics of the Chinese Academy of Sciences 2 He is an Elected Fellow or Elected Member of the Institute of Mathematical Statistics 2 of the International Statistical Institute ISI of the American Statistical Association ASA and of the Hong Kong Statistical Society HKSS 1 2 3 The Hong Kong Baptist University honored Professor Fang with the President s Award for Outstanding Performance in Scholarly Work in 2001 2 Fang and Zhang s book Generalized multivariate analysis was honored as a most excellent book in China 9 by the Government Information and Publication Administration 2 Biography editFang s early life is described by Agnes Loie in a volume published on his 65th birthday 2 Fang was born in 1940 in Taizhou in the province of Jiangsu in China He graduated from Jiangsu s Yangzhou High School 2 University studies and the Cultural Revolution edit In 1957 he studied mathematics at Peking University after which he entered the graduate program at the Institute of Mathematics of the Chinese Academy of Sciences in Beijing 2 His doctoral supervisor was Pao Lu Hsu who suggested that Fang provide a multivariate generalization and correction of a univariate result which had been given an incomplete proof in a Russian paper With two weeks work Fang s submitted his extensions which were declared by Hsu to suffice for his dissertation Unfortunately this paper remained unpublished for 19 years because the Cultural Revolution destroyed academic publishing in China 4 10 Fang reported that his studies were halted for the ten years of the Cultural Revolution 11 which lasted from 1966 to 1976 12 After graduating from Peking University he undertook postgraduate studies at the Institute of Mathematics of Academia Sinica which had less political chaos than Peking University according to Fang 4 There as a postgraduate researcher Fang was supervised by Minyi Yue In 1965 he was assigned to the Anshan Steel and Iron Company where he gave lectures to engineers and worked on nonlinear regression before being sent to a rural village to work as a laborer for the rest of 1965 and 1966 4 In 1972 Fang and other staff at the Academy of Sciences promoted the use of experimental design to improve Tsingtao Beer 13 Revival of academic life edit Fang was successively appointed to be assistant researcher and assistant professor in 1978 2 He then joined the Institute of Applied Mathematics of the Chinese Academy of Sciences and he became Associate Professor in 1980 and associate director of the institute in 1984 He was appointed full professor in 1986 2 Multivariate analysis edit nbsp Fang has contributed to the theory of elliptical distributions like bivariate normal distribution pictured which have elliptical contours In mathematical statistics Fang has published textbooks and monographs in multivariate analysis In particular his books have extended classical multivariate analysis beyond the multivariate normal distribution to a generalized multivariate analysis using more general elliptical distributions which have elliptically contoured distributions 14 15 His book on Generalized multivariate analysis with Zhang has extensive results on multivariate analysis for elliptical distributions 16 to which T W Anderson refers readers of his An introduction to multivariate statistical analysis 3rd ed 2003 17 The Fang and Zhang monograph used matrix differential calculus 7 16 One of Generalized multivariate analysis s innovations was its extensive use of the multilinear algebra particularly of the Kronecker product and of vectorization according to Kollo and von Rosen 18 Fang and Zhang s Generalized multivariate analysis was honored as a most excellent book in China 9 by the Government Information and Publication Administration 2 Combinatorial design and experiments uniform designs editSee also Fractional factorial design Plackett Burman design Taguchi methods and Discrepancy theory Fang also has conducted research in the design of experiments In 1972 he worked with the Tsingdao Beer factory and other factories He and other mathematical statisticians at the Chinese Academy of Sciences promoted the industrial use of orthogonal designs 4 Orthogonal designs are discussed in the books and papers of Fang on uniform designs and also by other authors 19 20 21 Fang recognized that high dimensional combinatorial designs which had been used for numerical integration on the unit cube by Hua Luogeng and Wang Yuan could be used to study interaction for example in factorial experiments and response surface methodology Collaborating with Wang led to Fang s uniform designs which have been used also in computer simulations 22 23 24 25 26 References edit a b c Homepage at Hong Kong Baptist University a b c d e f g h i j k l m n Loie 2005 pp 1 2 a b 2001 Fellows of the American Statistical Association ASA Archived 2016 06 16 at the Wayback Machine accessed 2016 09 02 a b c d e Loie 2005 pp 6 7 Fang amp Zhang 1990 Preface p vi Fang s students at the Hong Kong Baptist university are listed at the entry Fang Kaitai at the Mathematics Genealogy Project a b Pan Jianxin Fang Kaitai 2007 Growth curve models and statistical diagnostics PDF Springer series in statistics Science Press Beijing and Springer Verlag New York doi 10 1007 978 0 387 21812 0 ISBN 978 0 387 95053 2 OCLC 44162563 OCLC listing of publications by K ai T ai Fang Retrieved 4 September 2016 a b Loie describes the award as only most excellent book without the indefinite article a which here is inserted in accordance with standard written English According to Loie 2005 pp 7 and 32 Fang s thesis was published as Fang 1981 with details from zbMath Fang Kai tai 1981 The limit distribution of linear permutation statistics and its applications Acta Mathematicae Applicatae Sinica in Chinese and English 4 Chinese Academy of Sciences Institute of Applied Mathematics Beijing 69 82 ISSN 0254 3079 OCLC 4312320 Zbl 0473 60032 Loie 2005 p 5 Kraus Richard Curt 2012 The Cultural Revolution A very short introduction Very Short Introductions New York Oxford University Press ISBN 978 0 19 974055 0 Loie 2005 p 8 Fang Kai Tai Kotz Samuel Ng Kai Wang Kai Wang on front cover 1990 Symmetric multivariate and related distributions Monographs on statistics and applied probability Vol 36 London Chapman and Hall ISBN 0 412 314 304 OCLC 123206055 Fang Kai Tai Anderson T W eds 1990 Statistical inference in elliptically contoured and related distributions New York Allerton Press ISBN 0 89864 048 2 OCLC 20490516 a b Fang amp Zhang 1990 Anderson 2003 Sections 2 7 3 6 7 9 and 10 11 as noted on p 695 Anderson T W 2003 An introduction to multivariate statistical analysis 3rd ed New York John Wiley and Sons ISBN 9789812530967 Kollo amp von Rosen 2005 p xiii Kollo Tonu von Rosen Dietrich 2005 Advanced multivariate statistics with matrices Dordrecht Springer ISBN 978 1 4020 3418 3 Bailey Rosemary A 2004 Association schemes Designed experiments algebra and combinatorics Cambridge University Press ISBN 978 0 521 82446 0 MR 2047311 Hedayat A S Sloane N J A Stufken J 1999 Orthogonal arrays theory and applications New York Springer doi 10 1007 978 1 4612 1478 6 ISBN 978 0 387 98766 8 OCLC 41278468 Mukerjee Rahul Wu C F Jeff 2006 A modern theory of factorial design Springer series in statistics New York Springer Verlag doi 10 1007 0 387 37344 6 ISBN 978 0 387 31991 9 Loie 2005 Fang Kai Tai Wang Yuan 1993 Number theoretic methods in statistics Chapman and Hall Monographs on Statistics and Applied Probability Vol 51 CRC Press ISBN 0 412 46520 5 OCLC 246555560 Archived from the original on 2017 03 05 Retrieved 2016 09 04 Fang Kai Tai Wang Yuan Bentler Peter M 1994 Some applications of number theoretic methods in statistics Statistical Science 9 3 416 428 doi 10 1214 ss 1177010392 Santner Williams amp Notz 2003 Chapter 5 4 Uniform designs 145 148 Santner Thomas J Williams Brian J Notz William I 2003 The design and analysis of computer experiments Springer Series in Statistics 2013 printing ed Springer Verlag ISBN 1 4757 3799 8 Li amp Yuan 2005 pp xi and xx xxi 7 Number theoretic methods in statistics Fang Kai Tai Zhang Yao Ting 1990 Generalized multivariate analysis Science Press Beijing and Springer Verlag Berlin ISBN 3 540 17651 9 OCLC 622932253 Li Wenlin Yuan Xiangdong 2005 Wang Yuan A brief outline of his life and works In Wang Yuan ed Selected papers of Wang Yuan Singapore World Scientific pp xi xxii doi 10 1142 9789812701190 fmatter ISBN 9812561978 OCLC 717731203 Loie Agnes W L 2005 A conversation with Kai Tai Fang In Fan Jianqing Li Gang eds Contemporary multivariate analysis and design of experiments In celebration of Professor Kai Tai Fang s 65th Birthday Series in biostatistics Vol 2 New Jersey and Hong Kong World Scientific pp 1 22 ISBN 981 256 120 X OCLC 63193398 Further reading editFan Jianqing Li Gang eds 2005 Contemporary multivariate analysis and design of experiments In celebration of Professor Kai Tai Fang s 65th Birthday Series in biostatistics Vol 2 New Jersey and Hong Kong World Scientific ISBN 981 256 120 X OCLC 63193398 Loie Agnes W L 2005 A tribute to Professor Kai Tai Fang In Fan Jianqing Li Gang eds Contemporary multivariate analysis and design of experiments In celebration of Professor Kai Tai Fang s 65th Birthday Series in biostatistics Vol 2 New Jersey and Hong Kong World Scientific pp 23 28 ISBN 981 256 120 X OCLC 63193398 A collection of tributes by T W Anderson Fred Hickerenell Rahul Mukerjee Dietrich von Rosen Yuan Wang and Peter Winker External links editHomepage of Professor Fang at Hong Kong Baptist University Fang Kaitai at the Mathematics Genealogy Project Zentralblatt MATH zbMATH Kai Tai Fang Retrieved 2016 09 08 MathSciNet Kai Tai Fang Retrieved 2016 09 08 Fang K T Google Scholar Retrieved 2016 09 10 Retrieved from https en wikipedia org w index php title Fang Kaitai amp oldid 1216819118, wikipedia, wiki, book, books, library,

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