Development of Some Probability Distributions
نویسنده
چکیده
We give a detailed sketch of how the exponential, Poisson, gamma, beta, normal, χ, t, and F distributions arise in “natural” ways. Our only prerequisite distributions will be the binomial distribution and the uniform distribution on [0, 1]. The details of the (more than) healthy dose of multivariable calculus along the way may certainly be slurred over by those looking for a sense of how the distributions arise.
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