Multivariate Logarithmic Series Distribution as a Probability Model in Population and Community Ecology and Some of its Statistical Properties
Multivariate Logarithmic Series Distribution as a Probability Model in Population and Community Ecology and Some of its Statistical Properties
复制标题
人口和群落生态学中作为概率模型的多元对数级数分布及其一些统计特性
DOI：
10.1080/01621459.1967.10482939
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发表时间：
1967
影响因子：
3.7
通讯作者：
Sheela Bildikar
中科院分区：
文献类型：
--
作者：
G. Patil;Sheela Bildikar
摘要近年来，多元离散概率模型引起了越来越多的关注。多元对数级数分布（LSD）是一元LSD的多元模拟。本文研究了多元LSD的边缘分布和条件分布。它记录了它的矩特性，并提供了一些回归和相关分析。一个有趣的模态分布的性质被发现。本文还讨论了参数的极大似然估计和无偏最小方差估计。最后详细讨论了多元LSD在种群和群落生态学领域中的应用。
Abstract A growing interest has been witnessed in recent years in multivariate discrete probability models. The multivariate logarithmic series distribution (LSD) is a multivariate analogue of the univariate LSD. This paper investigates the marginal and the conditional distributions of the multivariate LSD. It records its moment properties and also provides some regression and correlation analysis. An interesting modal property of the distribution is discovered. The paper also discusses the estimation of the parameters by the methods of maximum likelihood and unbiased minimum variance. At the end is discussed in detail an application of the multivariate LSD to the field of population and community ecology.