On Moments of the Power Series Distributions

Slavko Simic

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On Moments of the Power Series Distributions

机译：幂级数分布的矩

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For the Power Series Distributions generated by an arbitrary entire function of finite order, applying methods ofKaramata’s Theory of Regular Variation, we obtain asymptotic behavior of its moments. As an illustration, we calculatethe moments of distributions generated by the class of Mittag-Leffler functions of which the well-known Poisson Law isjust a special case.

机译：对于由有限阶任意函数产生的幂级数分布，应用Karamata的正则变分理论方法，我们可以获得其矩的渐近行为。作为说明，我们计算了由Mittag-Leffler函数类生成的分布矩，而著名的泊松定律只是其中的特例。

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《The Open Statistics & Probability Journal》 |2017年第1期|共4页
作者
Slavko Simic;
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中图分类各科教学法、教学参考书;
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2. Mixtures of power series distributions: Identifiability via uniqueness in problems of moments [J] . Stoyanov J., Lin G.D. Annals of the Institute of Statistical Mathematics . 2011,第2期

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On Moments of the Power Series Distributions

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