Two-Dimensional and Multidimensional Distributions

  • Byron P. Roe
Part of the Undergraduate Texts in Contemporary Physics book series (UTCP)


Until now, we have considered mostly problems involving a single random variable. However, often we have two or more variables. We may have an event characterized by energy and angle, or temperature and pressure, etc. Sometimes the two variables are completely independent, but often they are strongly correlated. In this chapter, we will examine general two- and n-dimensional probability distributions and also the generalization of the normal distribution to two and more dimensions.


Residual Variance Linear Regression Line Moment Matrix Orthogonal Coordinate System Multidimensional Distribution 
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Copyright information

© Springer-Verlag New York, Inc. 2001

Authors and Affiliations

  • Byron P. Roe
    • 1
  1. 1.Department of Physics, Randall LaboratoryUniversity of MichiganAnn ArborUSA

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