Fitting Inflated Modified Power Series Distribution to Analysis Insect Count Data

Author: Chetan Kumar Saini*, Neelash Patel and Rishabh

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Abstract

The present paper describes the fitting of inflated modified power series distribution (IMPSD) on insect count data. When modelling data consisting of counts, it is not uncommon to observe more zeroes than would be expected. The extra zeros may be a result of over-dispersion in the data. if ignoring extra zero result can be biased parameter estimates and standard errors. To overcome this difficulty, we use zero inflated power series distribution. In a zero-inflated count distribution, an additional term is added to account for these extra structural zeroes. This help to get unbiased parameter of distribution. The parameter of IMPSD estimated by method of moment (MM), Method of proportion of zeroth cell (MPZC) and method of maximum likelihood (MLE). The result show that distribution is adequate to describe inherent variation of insect.

Keywords

Modified power series distribution, Insect count data, Method of moment, MPZC, Method of maximum likelihood, χ 2 test of goodness of fit.

Conclusion

1. The present result shows that Inflated, binomial and Poisson distribution was found adequate to explain the inherent variation of insect population on moong crop. 2. For estimation of parameters the method of moments, method of proportion of zeroth cell (MPZC), and maximum likelihood estimation method were found to be the suitable.

References

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How to cite this article

Chetan Kumar Saini, Neelash Patel and Rishabh (2022). Fitting Inflated Modified Power Series Distribution to Analysis Insect Count Data. Biological Forum – An International Journal, 14(1): 771-776.