论文标题
计算dirichlet-multinomial log类样函数
Computing the Dirichlet-Multinomial Log-Likelihood Function
论文作者
论文摘要
Dirichlet-Multinomial（DMN）分布通常用于模拟计数数据中的过度分散。 DMN log-likelihienhiehienhood函数的精确而快速的数值计算对于使用此分布进行统计推断很重要，并且仍然是一个挑战。为了解决这个问题，我们使用伽马函数的数学特性来得出DMN log-oikelihoodhoodhoodhoodhoodhoodhoodhoodhoodhoodhoodhood的封闭形式表达式。与现有方法相比，封闭形式的计算具有较低的计算复杂性，因此，不构成计算准确性的速度要快得多。
Dirichlet-multinomial (DMN) distribution is commonly used to model over-dispersion in count data. Precise and fast numerical computation of the DMN log-likelihood function is important for performing statistical inference using this distribution, and remains a challenge. To address this, we use mathematical properties of the gamma function to derive a closed form expression for the DMN log-likelihood function. Compared to existing methods, calculation of the closed form has a lower computational complexity, hence is much faster without comprimising computational accuracy.
