Bayesian inference, Advanced Statistics

Assignment Help:

Bayesian inference: An approach to the inference based largely on Bayes' Theorem and comprising of the below stated principal steps:

(1) Obtain the likelihood, f x q describing the process increasing the data x in terms of unknown parameters q.

(2) Obtain the previous distribution, f q expressing what is known about the q, previous to observing the data.

(3) Apply Bayes' theorem to derive posterior distribution f q x expressing that what is known about q after observing the given data.

(4) Derive suitable inference statements from posterior distribution. These might include speci?c inferences like interval estimates, point estimates or probabilities of the hypotheses or asumptions. If interest centres on particular components of q their posterior distribution is formed by the integrating out of the other parameters.

This form of inference varies from classical form of the frequentist inference in the various respects, particularly the use of prior distribution which is not present in the classical inference. It represents the investigator's knowledge and wisdom about the parameters before seeing data.

Classical statistics only makes use of the likelihood. As a result to the Bayesian every problem is unique and is considered by the investigator's beliefs about parameters expressed in the prior distribution for the speci?c or particular investigation.






Related Discussions:- Bayesian inference

Clinical vs. statistical significance, Clinical vs. statistical significanc...

Clinical vs. statistical significance : The distinction among results in terms of their possible clinical importance rather than simply in terms of their statistical importance. Wi

Zero sumgame, Zero sumgame is a game played by the number of persons in wh...

Zero sumgame is a game played by the number of persons in which the winner takes all stakes given by the losers so that the algebraic sum of gains at any stage is zero. Number of

Two-phase sampling, Two-phase sampling is the sampling scheme including tw...

Two-phase sampling is the sampling scheme including two distinct phases, in the first of which the information about the particular variables of interest is collected on all the m

Profile plots, Profile plots  is a technique of representing the multivaria...

Profile plots  is a technique of representing the multivariate data graphically. Each of the observation is represented by a diagram comprising of a sequence of equispaced vertical

Multivariate analysis of variance, Multivariate analysis of variance is th...

Multivariate analysis of variance is the procedure for testing equality of the mean vectors of more than two populations for the multivariate response variable. The method is dire

Explain non-response, Non-response is the term generally used for the fail...

Non-response is the term generally used for the failure to give the relevant information being collected in the survey. Poor response can be because of the variety of causes, for

Independent component analysis (ica), Independent component analysis (ICA) ...

Independent component analysis (ICA) is the technique for analyzing the complex measured quantities thought to be mixtures of other more fundamental quantities, into their fundamen

Business Statistic HW., Hello , I have a business statistic HW that is due ...

Hello , I have a business statistic HW that is due after 23 hours exactly for now . I need full and details answers please , plus they must be in a done and typed in a word or exce

Hanging rootogram, Hanging rootogram is   he diagram comparing the observe...

Hanging rootogram is   he diagram comparing the observed rootogram with the ?tted curve, in which dissimilarities between the two are displayed in relation to the horizontal axis,

Greenhouse geissercorrection, Greenhouse geissercorrection is the method o...

Greenhouse geissercorrection is the method of adjusting the degrees of freedom of the within- subject F-tests in the analysis of the variance of longitudinal data so as to allow t

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd