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Approximating by convolution of the normal and compound Poisson laws via Stein’s method

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We apply Stein’s method to estimate the closeness of the mixtures of distributions to the convolution of the normal and Poisson laws. To derive the Stein operator, we use a… Click to show full abstract

We apply Stein’s method to estimate the closeness of the mixtures of distributions to the convolution of the normal and Poisson laws. To derive the Stein operator, we use a moment generating function. Then we apply a perturbation technique to estimate the solution to the Stein equation.

Keywords: stein method; poisson laws; convolution normal

Journal Title: Lithuanian Mathematical Journal
Year Published: 2018

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