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- W2911389851 abstract "In Stein's method, an exchangeable pair approach is commonly used to estimate the convergence rate of normal and nonnormal approximation. Using the exchangeable pair approach, we establish a Cram'er-type moderate deviation theorem of normal approximation for an arbitrary random variable without a bound on the difference of the exchangeable pair. A Berry--Esseen-type inequality is also obtained. The result is applied to the subgraph counts in the Erdos--R'enyi random graph, local dependence, and graph dependency." @default.
- W2911389851 created "2019-02-21" @default.
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- W2911389851 date "2019-01-28" @default.
- W2911389851 modified "2023-09-27" @default.
- W2911389851 title "Cram'er-type Moderate Deviation of Normal Approximation for Exchangeable Pairs" @default.
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