Statistical Methodology

The methods used in analysing data and drawing inferences are termed the statistical methodology. Underlying any of the models discussed in detail in this work, there is a significant amount of statistical methodology, which is introduced and discussed in this chapter.

• Statistics
• Bayesian Approach
  • Formal Bayesian Methodology
    • Prior Knowledge
    • Model or Likelihood
    • An Example
    • Posterior Distribution
  • Predictive Distribution
  • Kernel Density Estimation
  • A Simple Example -
  • Prior Elicitation and Non-informative Priors
• Sampling from the Posterior Distribution
  • Stratified Sampling
  • Importance Sampling
  • Monte Carlo Method
  • Markov Chains
  • Markov Chain Monte Carlo
  • Metropolis Hastings
  • Gibbs Sampling
• Issues of Convergence
• Nature of Multidimensional Posterior
• Graphical Representation of a Model