International Research Journal of Agricultural Economics and Statistics

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On Generalized Logarithmic Series Distribution and its Application to Leaf Spot Grades in Mulberry


Affiliations
1 Division of Agricultural Statistics, Sher-e-Kashmir University of Agricultural Sciences and Technology (K), Srinagar (J&K), India
2 Division of Animal Genetics and Breeding, Sher-e-Kashmir University of Agricultural Sciences and Technology (K), Suhuma (J&K), India
3 Division of Agricultural Economics and Statistics, Sher-e-Kashmir University of Agricultural Sciences and Technology (K), Wadura (J&K), India
4 Division of Agricultural Statistics, Shalimar, Sher-e-Kashmir University of Agricultural Science and Technology (K), Srinagar (J&K), India
5 Division of Statistics and Computer Science, Sher-e-Kashmir University of Agricultural Sciences and Technology (K), Chatha (J&K), India
     

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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 different leaf spot grades in four varieties of mulberry namely Ichinose, Gosherami, Rokokuvoso and Kokuso-20 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.

Keywords

Generalized Logarithmic Series Distribution, Leaf Spot Grades, Mulberry.
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  • On Generalized Logarithmic Series Distribution and its Application to Leaf Spot Grades in Mulberry

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Authors

Fehim Jeelaniwani
Division of Agricultural Statistics, Sher-e-Kashmir University of Agricultural Sciences and Technology (K), Srinagar (J&K), India
T. A. Raja
Division of Animal Genetics and Breeding, Sher-e-Kashmir University of Agricultural Sciences and Technology (K), Suhuma (J&K), India
Showket Maqbool
Division of Agricultural Economics and Statistics, Sher-e-Kashmir University of Agricultural Sciences and Technology (K), Wadura (J&K), India
Imran Khan
Division of Agricultural Statistics, Shalimar, Sher-e-Kashmir University of Agricultural Science and Technology (K), Srinagar (J&K), India
M. Iqbal Jeelani Bhat
Division of Statistics and Computer Science, Sher-e-Kashmir University of Agricultural Sciences and Technology (K), Chatha (J&K), India

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 different leaf spot grades in four varieties of mulberry namely Ichinose, Gosherami, Rokokuvoso and Kokuso-20 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.

Keywords


Generalized Logarithmic Series Distribution, Leaf Spot Grades, Mulberry.

References