Random Vectors and Joint Distributions
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In Chapters 7 and 8, we formulate the concept of real random variables and describe the distributions that they induce on the real line. In that development, we direct attention to a single number associated with each outcome of the basic experiment. Real random variables are considered singly. In this chapter, we consider the case of several numbers associated with the outcome of the experiment. These numbers are viewed separately as values of real random variables; but they are considered jointly as the coordinates of a random vector. We use fundamental mapping ideas in the same manner as for real random variables to produce a joint distribution that describes the probabilistic, or stochastic, behavior of the random vector as well as the probabilistic relations between the coordinate random variables.
KeywordsRandom Vector Joint Distribution Marginal Distribution Half Plane Point Masse
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