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Topics covered include random variables, conditional probability, expectation, independence, Bayes' rule, important distributions, joint distributions, moment generating functions, central limit theorem, laws of large numbers and Markov's inequality.
By introducing the notion of asymptotically optimal designs, we show that right censoring is 'almost' optimal for many important distributions including scale families of extreme value, normal, logistic, and Laplace distributions.
In parametric ways, we derive the exact analytical expressions of the mean and variance of AUC for samples drawn from some important distributions that are frequently encountered in signal processing; whereas in nonparametric ways, we develop a rank-based algorithm which can estimate the variance of AUC unbiasedly and speedily.
Since their advent in 1972, GLMs have unified important distributions under a single umbrella with enormous implications.
Following are some important distributions that belong to this family: i. Discrete exponential ii.
It generalizes some important distributions in the literature and provides means of its continuous extension to still more complex situations.
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After the arrival of transcontinental rail lines in the early 1880s, however, Albuquerque became an important distribution centre for imported and locally produced goods.
The deal marks the second important distribution agreement for Microsoft's search service in as many months.
The Poisson distribution is now recognized as a vitally important distribution in its own right.
Sites in Ohio were particularly important distribution centres, controlling ceremonial goods and special products over a wide area.
For musicians, the pacts provide a foothold online, an increasingly important distribution channel.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com