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Zero-inflated Poisson-Akash distribution for count data with excessive zeros
Wani Mohammad Kafeel,Ahmad Peer Bilal 한국통계학회 2023 Journal of the Korean Statistical Society Vol.52 No.3
Over-dispersed models are often used whenever the variation is more than what in point of fact is anticipated by a model. One of the reasons behind experiencing over-dispersion is an excessive number of zeros, hence when modeling this observed fact, we use zero-inflated models rather than more traditional ones. As a part of our research, we have suggested a zero-inflated variant of Poisson-Akash distribution that was introduced in 2015. We have calculated crucial statistical characteristics of the suggested model which are not confined to generating functions, over-dispersion property, moments and associated measures. The parametric estimation has been carried out using the maximum likelihood estimation. Two different simulation exercises have been carried out, one to test the performance of maximum likelihood estimates and the other for testing the compatibility of our devised model when data has been simulated from different zero-inflated models. For the purpose of testing the compatibility of our proposed model, we have used four real life data sets and considered different performance measures like Goodness-of-fit, Akaike’s information criterion, Bayesian information criterion, Dispersion index etc. The fitting results have been compared with some other models of interest. Moreover, we have tested the significance of the zero-inflation parameter using Likelihood ratio test, Score test and the Wald test itself.
Options for Enhanced Anaerobic Digestion of Waste and Biomass—a Review
Neelam Vats,Abid Ali Khan,Kafeel Ahmad 한국농업기계학회 2020 바이오시스템공학 Vol.45 No.1
Introduction Anaerobic digestion (AD) is a promising technology because it is economically feasible, environmentally friendly, and socially acceptable. Moreover, biogas generation from organic waste is considered to be the future of bio-energy. Purpose In this paper, we review the substrates available for biogas production, different methods for improvement of AD processes (two-stage anaerobic digestion and digestate recirculation) and various pre-treatment techniques used to enhance biogas generation. Method Two-stage digestion and co-digestion of two or more substrates appear to be promising techniques for enhanced anaerobic digestion. These techniques could help to maintain the nutrient balance in a system without the further addition of nutrients, in addition to enhancing biogas generation. Results Pre-treatment of various substrates is mainly used to increase the hydrolysis rate and thus enhance the efficiency of AD processes.