Bayes Analysis of Hadwiger Fertility Model Using Markov Chain Monte Carlo Simulation
Published in Aligarh Journal of Statistics, 2024
Abstract.
The paper provides the Bayes analysis of the Hadwiger fertility model using the Gaussian copula prior to quantifying the information available in terms of marginal probability into a comprehensive joint probability framework for the parameters of the considered Hadwiger model. The resulting posterior, being analytically intractable, is analyzed using Markov chain Monte Carlo simulation, in particular, the Metropolis algorithm. The findings are supported by a real data example of reported age-specific fertility rate data. The approach is useful in the sense that it allows for an apt representation and analysis of the relationship between the priors.
Keywords: Age-specific fertility rate, Hadwiger fertility model, Metropolis algorithm, Markov chain Monte Carlo, Copula prior.
The paper provides the Bayes analysis of the Hadwiger fertility model using the Gaussian copula prior to quantifying the information available in terms of marginal probability into a comprehensive joint probability framework for the parameters of the considered Hadwiger model. The resulting posterior, being analytically intractable, is analyzed using Markov chain Monte Carlo simulation, in particular, the Metropolis algorithm. The findings are supported by a real data example of reported age-specific fertility rate data. The approach is useful in the sense that it allows for an apt representation and analysis of the relationship between the priors.
Keywords: Age-specific fertility rate, Hadwiger fertility model, Metropolis algorithm, Markov chain Monte Carlo, Copula prior.
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Recommended citation: Singh, S., Gupta, A., & Upadhyay, S. K. (2025). "Bayes Analysis of Hadwiger Fertility Model Using Markov Chain Monte Carlo Simulation", *Aligarh Journal of Statistics*, Vol. 44, 103–112.
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