Skip to main content
SpringerLink
Log in

Multivariate Distributions at a Cross Road

  • Conference paper
A Modern Course on Statistical Distributions in Scientific Work

Part of the book series: NATO Advanced Study Institutes Series ((ASIC,volume 17))

Summary

A selective survey of developments in the area of continuous multivariate statistical distributions during the twentieth century is presented with emphasis on non-normal models. Discrete multivariate distributions are not discussed. An extension of a useful bivariate family is indicated.

Supported by the Air Force Office of Scientific Research under Grant AFOSR-74-2701.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Similar content being viewed by others

References

  1. Basu, A. P. and Block. H. W. (1974). In Statistical Distributions in Scientific Work, Vol. III, Characterizations and Applications, Patil, Kotz and Ord (eds.). Reidel, Dordrecht and Boston, pp. 399–421.

    Google Scholar 

  2. Bildikar, S. and Patil, G. P. (1968). Ann. Math. Statist. 39, 1316–1326.

    Article  MathSciNet  MATH  Google Scholar 

  3. Chambers, J. M. (1967). Biometrika 54, 367–383.

    MathSciNet  MATH  Google Scholar 

  4. Charlier, C. V. L. (1914). Arkiv für Math., Astr. och Fysik. 9, 1–18.

    Google Scholar 

  5. Cooper, P. W. (1963). Biometrika 50, 439–448.

    MathSciNet  MATH  Google Scholar 

  6. Eagleson, G. K. (1964). Ann. Math. Statist. 35, 1208–1215.

    Article  MathSciNet  MATH  Google Scholar 

  7. Edgeworth, F. Y, (1904). Trans, Camb. Phil. Soc. 20, 116–119.

    Google Scholar 

  8. Elderton, W. P. and Johnson, N. L. (1969). Systems of Frequency Curves. Cambridge University Press, London.

    Book  MATH  Google Scholar 

  9. Farlie, D. J. G. (1960). Biometrika, 47, 307–323.

    MathSciNet  MATH  Google Scholar 

  10. Finney, D. J. (1974). J. Roy. Statist. Soc. Ser A 137, 12–14.

    Article  Google Scholar 

  11. Fisher, R. A. (1940), Ann. Eugenics 10, 422–429

    Article  MathSciNet  Google Scholar 

  12. Fisk, P. R. (1973). J. Roy. Statist. Soc. Ser A 136, 622

    Article  MathSciNet  Google Scholar 

  13. Fréchet, M. (1951). Ann. Univ. Lyon, Sec A, Ser 3, 14, 53–77.

    Google Scholar 

  14. Goodman, I. R. and Kotz, S. (1973). J. Multiv. Anal. 3.

    Google Scholar 

  15. Gumbel, E. J. (1960). J. Amer. Statist. Assoc. 55, 698–707.

    Article  MathSciNet  MATH  Google Scholar 

  16. Hirschfeld, H. O. (1935). Proc. Camb. Phil. Soc. 31, 520–524.

    Article  Google Scholar 

  17. Hotelling, H. (1936). Biometrika 28, 231–377.

    Google Scholar 

  18. Janardan, K. G. and Patil, G. P. (1972). Sankhya Ser A, 1–14.

    Google Scholar 

  19. Johnson, N. L. and Kotz, S. (1972). Continuous Multivariate Distributions. J. Wiley, New York.

    MATH  Google Scholar 

  20. Jørgensen, N. R. (1916). Undersøgelser over Frequensflader og Korrelation Busck, Copenhagen. (1972).

    Google Scholar 

  21. Lancaster, H. O. (1972). Math. Chronicle 2, 1–16.

    MathSciNet  Google Scholar 

  22. Lancaster, H. O. (1963). Ann. Math. Statist. 34, 532–538.

    Article  MathSciNet  MATH  Google Scholar 

  23. Lancaster, H. O. (1958). Ann. Math. Statist. 29, 719–736.

    Article  MathSciNet  MATH  Google Scholar 

  24. Mardia, K. V. (1970). Families of Bivariate Distributions. Hafner Publishing Co., Darien, Connecticut.

    MATH  Google Scholar 

  25. Marshall, A. W. and Olkin, I. (1967). J. Amer. Statist. Assoc. 62, 30–44.

    Article  MathSciNet  MATH  Google Scholar 

  26. McGraw, D. K. and Wagner, J. F. (1967). J.A.S.A. 62, 589–600.

    Google Scholar 

  27. Morgenstern, D. (1956). Mitteilingsblatt fur Math. Statist. 8, 234–235.

    MathSciNet  Google Scholar 

  28. Neyman, J. (1926). Biometrika 18, 257–262.

    MATH  Google Scholar 

  29. Patil, G. P. and Joshi, S. W. (1974). Sum-symmetric power series distributions and minimum variance unbiased estimation. Theory Prob. Appl. 19.

    Google Scholar 

  30. Patil, G. P. and Joshi, S. W. (1968). Dictionary and Bibliography of Discrete Distributions. Oliver and Boyd, Edinburgh and Hafner, New York.

    MATH  Google Scholar 

  31. Patil, G. P. (1967). Sankhya Ser B 30, 355–366.

    MathSciNet  Google Scholar 

  32. Patil, G. P. (1965). Sankhya Ser A 27, 259–270.

    MathSciNet  MATH  Google Scholar 

  33. Pearson, K. (1925). Biometrika 17, 268–313.

    MATH  Google Scholar 

  34. Pearson, K. (1924). Biometrika 16, 172–182.

    Google Scholar 

  35. Pearson, K. (1923). Biometrika 15, 222–230.

    Google Scholar 

  36. Pearson, K. (1921). Biometrika. 13, 296–300.

    Google Scholar 

  37. Pearson, K. (1905). Drapers’ Company Research Memoirs, Biometrie Series II, 1–54.

    Google Scholar 

  38. Rhodes, E. C. (1925). Biometrika 17, 314–324.

    MATH  Google Scholar 

  39. Rhodes, E. C. (1923). Biometrika 14, 355–377.

    Google Scholar 

  40. Risser, R. (1950). Bull, des Actuair, Franc. No. 191, 141–232.

    Google Scholar 

  41. Roux, J. J. J. (1971). S. Afr. Statist. J. 5, 27–36.

    MathSciNet  Google Scholar 

  42. Sagrista, S. N. (1952). Trabajos Estadística 3, 273–314. (Spanish).

    Article  MathSciNet  MATH  Google Scholar 

  43. Sarmanov, O. V. and Bratoeva, Z. N. (1967). Theory Prob. Appl. 12, 520–531. (In Russian).

    MathSciNet  Google Scholar 

  44. Sarmanov, O. V. (1966). Dokl. Akad. Nauk. 168, 596–599.

    MathSciNet  Google Scholar 

  45. Sarmanov, O. V. (1958). Dokl. Akad. Nauk. 120, 715–718. (In Russian).

    MathSciNet  MATH  Google Scholar 

  46. Steffensen, L. (1922). Skand. Aktuar. Tidskr., 106–132.

    Google Scholar 

  47. Van der Stok, J. P. (1908). Proc. Roy. Acad. Sci. Amsterdam 10, 799–817.

    Google Scholar 

  48. Van Uven, M. J. (1947). Proc. Roy. Acad. Sci. Amsterdam I 50, 1063–1070; II 50, 1252–1264.

    MATH  Google Scholar 

  49. Van Uven, M. J. (1948). Proc. Roy. Acad. Sci. Amsterdam III 51, 41–52; IV 51, 191–196.

    MATH  Google Scholar 

  50. Wicksell, S. D. (1917a). Kungl. Svensk. Vet. Akad. Handl. 58, 1–48.

    Google Scholar 

  51. Wicksell, S. D. (1917b). Skand. Aktuar. Tidskr. 2–3, 1–19.

    Google Scholar 

  52. Wicksell, S. D. (1917c). Arkiv. für Math., Astr. och Fysik. 12.

    Google Scholar 

  53. Yule, G. U. (1897). Proc. Roy. Soc. 60, 477–489.

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Temple University, Philadelphia, Pennsylvania, USA

    Samuel Kotz

Authors
  1. Samuel Kotz
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. The Pennsylvania State University, University Park, Pa., USA

    G. P. Patil

  2. Temple University, Philadelphia, Pa., USA

    S. Kotz

  3. University of Warwick, Coventry, England

    J. K. Ord

Rights and permissions

Reprints and permissions

Copyright information

© 1975 D. Reidel Publishing Company, Dordrecht-Holland

About this paper

Cite this paper

Kotz, S. (1975). Multivariate Distributions at a Cross Road. In: Patil, G.P., Kotz, S., Ord, J.K. (eds) A Modern Course on Statistical Distributions in Scientific Work. NATO Advanced Study Institutes Series, vol 17. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-1842-5_20

Download citation

  • DOI: https://doi.org/10.1007/978-94-010-1842-5_20

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-1844-9

  • Online ISBN: 978-94-010-1842-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation