Abstract
Let \( {\rm X}_1 \in {\rm N}_1 \left( {0,\sigma _1^2 } \right) \) and \( {\rm X}_2 \in {\rm N}_1 \left( {0,\sigma _2^2 } \right) \) be independent Gaussian RVs. Then, the ratio of these RVs X = X2/X1, has the following statistical properties.
A large number of the CDF results in this section come from Ref. 11 where they appear in their normalized (the RVs that form the ratio have unit variance) form. Once again, a large number of the PDF and statistical moment results come from Ref. 5.
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© 2002 Springer Science + Business Media, LLC
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(2002). Ratios of Random Variables. In: Probability Distributions Involving Gaussian Random Variables. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-47694-0_8
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DOI: https://doi.org/10.1007/978-0-387-47694-0_8
Publisher Name: Springer, Boston, MA
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