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Bivariate Normal

  • Nick T. Thomopoulos
Chapter

Abstract

A common scenario in scientific studies occurs when two variables are jointly related in a statistical manner. Could be research on the height and weight by gender and ethnic group; where the weight of an adult is related to the height of a adult from the same gender and ethnic group. The bivariate normal distribution is the typical way to analyze data of this sort. The marginal distributions of the two variables are normally distributed, when their joint distribution is bivariate normal.

References

  1. 1.
    Jantaravareerat, M. (1998). Approximation of the distribution function for the standard bivariate normal. Doctoral Dissertation, Stuart School of Business, Illinois Institute of Technology.Google Scholar
  2. 2.
    Jantaravareerat, M., & Thomopoulos, N. (1998). Some new tables on the standard bivariate normal distribution. Computing Science and Statistics, 30, 179–184.Google Scholar
  3. 3.
    Lindee, C., (2001). The multivariate standard normal distribution. Doctoral Dissertation, Stuart School of Business, Illinois Institute of Technology.Google Scholar
  4. 4.
    Lindee, C., & Thomopoulos, N. (2001). Values for the cumulative distribution function of the standard multivariate normal distribution. Proceedings of the Midwest Decision Sciences Institute, 48, 600–609.Google Scholar

Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  • Nick T. Thomopoulos
    • 1
  1. 1.Stuart School of BusinessIllinois Institute of TechnologyChicagoUSA

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