Skip to main content

Normal Distribution Binomial Heritage

  • Chapter
  • First Online:
Book cover Between Certainty and Uncertainty

Part of the book series: Intelligent Systems Reference Library ((ISRL,volume 31))

  • 1723 Accesses

Abstract

Acquaintance with the normal distribution, tables of the normal distribution. Probabilistic paper. Sample means distribution and Monte Carlo simulation. Two theorems of de Moivre-Laplace. When does normal approximation fit binomial distribution data? [Heritage of F.Gauss and Marquis de Laplace]

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
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.

References

  1. Weinberg, G.H., Schumaker, J.A., Oltman, D.: STATISTICS – An Intuitive Approach, 4th Edition. Brooks/Cole Publishing Company, Monterey (1981)

    Google Scholar 

  2. Neyman, J.: First Course in Probability and Statistics. HR&W, New York (1950); Polish translation Zasady Rachunku Prawdopodobieństwa i Statystyki Matematycznej, PWN, Warszawa (1969); Russian translation – Nauka, Moskwa (1968)

    Google Scholar 

  3. Fisz, M.: Rachunek Prawdopodobieństwa i Statystyka Matematyczna (in Polish: Probability and Mathematical Statistics), 3rd edn. PWN, Warszawa (1967)

    Google Scholar 

  4. Zubrzycki, S.: Wykłady z Rachunku Prawdopodobieństwa i Statystyki Matematycznej (in Polish: Letures on Probability and Mathematical Statistics). PWN, Warszawa (1966)

    Google Scholar 

  5. Laudański, L.M.: Pre-stochastic Models of Computational Probability. Transactions of the Aviation Institute 159, 4/99, 30–36 (1999)

    Google Scholar 

  6. Czechowski Tadeusz: Elementarny Wykład Rachunku Prawdopodobieństwa (in Polish: Introductory Course to Probability). PWN, Warszawa - Edition 1 – 1958, Edition 2 – 1968

    Google Scholar 

  7. Stigler, S.M.: The History of Statistics – the Measurement of Uncertainty before 1900. The Balknap Press of Harvard UP, Cambridge (1986)

    Google Scholar 

  8. de Moivre, A.: The Doctrine of Chances or A Method of Calculating the Probabilities of Events in Play, 3 edn., Fuller, Clearer, and more Correct than the Former. London, A. Millar, pp. 1–378 (1756), Digitized by Google, Internet

    Google Scholar 

  9. Laudański, L.M.: Statystyka nie tylko dla licencjatów (in Polish: Statistics not only for the undergraduates), Part 2, 2nd edn. Publishing House of the Rzeszow TU (2009)

    Google Scholar 

  10. Laudański, L.M., Dłubis, E.: Zbieżność i rozbieżność rozkładu dwumianowego względem rozkładu Gaussa w praktyce statystycznej (in Polish: The convergence and divergence between the binomial and Gaussian distribution as used in statistical practice). In: Proceedings of the IV-th International Scientific Conference in Jarosław: Prospect of the development of the Rzeszow Province due to European integration processes. PWSZ Jarosław, pp. 263–272 (2000)

    Google Scholar 

  11. Student: The probable error of a mean. Biometrika 6, s.1– s.25 (March 1908), accesible on the Internet

    Google Scholar 

  12. Lloyd, E.: Handbook of Applicable Mathematics. Probability, vol. II, pp. 1–450. J. Wiley & Sons, New York (1980)

    Google Scholar 

  13. Feller, W.: An Introduction to Probability Theory and Its Applications, 3rd edn., vol. I. Posthumous Edition, p. 509. John Wiley and Sons, New York (1971)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Ludomir M. Laudański .

Rights and permissions

Reprints and permissions

Copyright information

© 2013 Springer-Verlag GmbH Berlin Heidelberg

About this chapter

Cite this chapter

Laudański, L.M. (2013). Normal Distribution Binomial Heritage. In: Between Certainty and Uncertainty. Intelligent Systems Reference Library, vol 31. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-25697-4_8

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-25697-4_8

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-25696-7

  • Online ISBN: 978-3-642-25697-4

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics