International E-publication: Publish Projects, Dissertation, Theses, Books, Souvenir, Conference Proceeding with ISBN.  International E-Bulletin: Information/News regarding: Academics and Research

Projection of Brass’s Alpha and Beta estimate for female in U.P., India using MCMC Technique in Bayesian Procedure

Author Affiliations

  • 1Department of Statistics, Udai Pratap Autonomous College, Varanasi, Uttar Pradesh, INDIA

Res. J. Mathematical & Statistical Sci., Volume 3, Issue (9), Pages 1-6, September,12 (2015)

Abstract

In the present paper we have projected Brass’s Alpha and Beta for female population in Uttar Pradesh using Linear regression model. Alpha and Beta are estimated from past lx values for female population. Parameters of the model have been estimated using MCMC (Monte Carlo Markov Chain) Technique in Bayesian Procedure. We have assumed Non-informative prior distribution to implement the Bayesian approach for the parameter estimation.

References

  1. Congdon P., Bayesian Statistical Modeling, John Wileyand Sons, Chichester, U.K., (2001)
  2. Dyson T., India’s Population-The Future, T. Dyson, R.Cassen and L. Visaria, Eds., Twenty-First Century India:Population, Economy, Human Development, and theEnvironment, Press, Oxford, 74-10., (2004),
  3. Gelman A., Carlin J.B., Stern H.S. and Rubin D.B., Bayesian Data Analysis, Second Edition, Champman andHall/CRC, (2003)
  4. Gilks W.R., Richardson S. and Spiegelhalter D.J., Eds., Markov chain Monte Carlo in Practice, Champman andHall, London, U.K., (1996)
  5. Gill J., Bayesian Methods: A Social and BehavioralSciences Approach, Champman and Hall/CRC., (2002)
  6. Rahul and Singh O.P., Population Projection of IndianUsing MCMC Technique in Bayesian Theory (2011-2051), Published by LAP LAMBERT AcademicPublishing, Germany, (2012)
  7. Rahul, Pandey G.S. and Singh O.P., Population Projectionof India Using MCMC Technique: A WinBUGSImplementation, Demography India, New Delhi, India,36(1), 145-154, (2007)
  8. Rahul, Singh G.P. and Singh O.P., Population Projectionof Kerala Using Bayesian Methodology, Asian Journal ofApplied Sciences, 2(4), (2009), 402-413, (2009)
  9. Registrar General of India, Population Projection for Indiaand States 2001-2026, Office of the Registrar General andCensus Commissioner, India, (2006)
  10. Spiegelhalter D.J., Thomas A., Best N.G. and Gilks W.R., BUGS: Bayesian inference Using Gibbs Sampling, Version 0.5. MRC Biostatistics Unit, Cambridge, (1996)