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Advanced calculus is necessary to prove rigorously the main properties of the Cauchy distribution. It is well known that the Cauchy distribution can be generated by a tangent transformation of the uniform distribution. By interpreting this transformation on a circle, it is possible to present elementary and intuitive proofs of some important and useful properties of the distribution.
Classificació AMS::60 Probability theory and stochastic processes::60E Distribution theory, Central limit theorem, Distribution (Probability theory), Cauchy distribution, :60 Probability theory and stochastic processes::60E Distribution theory [Classificació AMS], Dsitribution on a cirlce, Distribució (Teoria de la probabilitat)
Classificació AMS::60 Probability theory and stochastic processes::60E Distribution theory, Central limit theorem, Distribution (Probability theory), Cauchy distribution, :60 Probability theory and stochastic processes::60E Distribution theory [Classificació AMS], Dsitribution on a cirlce, Distribució (Teoria de la probabilitat)
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