On Methods of Estimation for Generalized Logarithmic Series Distribution and Its Application to Counts of Red Mites on Apple Leaves

F. Wani
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Abstract

The Generalized Logarithmic Series Distribution (GLSD) adds an extra parameter to the usual logarithmic series distribution and was introduced by Jain and Gupta (1973). This distribution has found applications in various fields. The estimation of parameters of generalized logarithmic series distribution was studied by the methods of maximum likelihood, moments, minimum chi square and weighted discrepancies. The GLSD was fitted to counts of red mites on apple leaves and it was observed that all the estimation techniques perform well in estimating the parameters of generalized logarithmic series distribution but with varying degree of non-significance.
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广义对数级数分布的估计方法及其在苹果叶上红螨计数中的应用
广义对数序列分布(GLSD)是由Jain和Gupta(1973)提出的,它在通常的对数序列分布的基础上增加了一个额外的参数。这种分布在各个领域都有应用。采用极大似然法、矩法、最小卡方法和加权差法研究了广义对数序列分布参数的估计。将GLSD拟合到苹果叶上红螨的数量上,结果表明,所有估计方法对广义对数序列分布参数的估计都很好,但存在不同程度的不显著性。
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