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概率、随机过程与排队论：计算机性能建模的数学基础AI 解读

There are three types: E -an exercise that requires only algebraic manipulation M -a mathematical derivation is required to do the problem Rthe problem is a research problem.An exercise is distinguished from a derivation in that the answer proceeds directly from material in the text and does not require additional analysis.Research problems differ from derivations in that they require more independent work by the student and may require outside reading.For each type of…

更新理论中的非参数估计之一：经验更新函数AI 解读

We introduce a nonparametric estimator for the renewal function and discuss its properties, including consistency, asymptotic normality and asymptotic validity of bootstrap confidence regions. The underlying theme is that stochastic models can be regarded as functionals or nonlinear operators. This view leads to nonparametric estimators in a natural way and statistical properties of the estimators can be related to the local behaviour of the functionals.