Abstract
In Chapter 7, mapping properties of a random variable X are used to effect a transfer of probability mass from the basic space Ω to the real line 5ft. The resultant probability distribution induced by X assigns to each Borel set M a mass equal to the probability that X takes a value in that set. The distribution induced by a discrete random variable X is easy to visualize since it concentrates probability mass at each value in the range of X.
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© 1990 Springer-Verlag New York Inc.
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Pfeiffer, P.E. (1990). Distribution and Density Functions. In: Probability for Applications. Springer Texts in Statistics. Springer, New York, NY. https://doi.org/10.1007/978-1-4615-7676-1_10
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DOI: https://doi.org/10.1007/978-1-4615-7676-1_10
Publisher Name: Springer, New York, NY
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Online ISBN: 978-1-4615-7676-1
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