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

O''brien''s two-sample tests, O'Brien's two-sample tests are the extension...

O'Brien's two-sample tests are the extensions of the conventional tests for assessing the differences between treatment groups which take account of the possible heterogeneous nat

Cross-sectional study, A study not involving the passing of time. All infor...

A study not involving the passing of time. All information is collected at the same time and subjects are contacted only once. Many surveys are of this type. The temporal sequence

Explain Geometric distribution, Geometric distribution: The probability di...

Geometric distribution: The probability distribution of the number of trials (N) before the first success in the sequence of Bernoulli trials. Specifically the distribution is can

Prepare a report using regression analysis, Paul Jordan has just been hired...

Paul Jordan has just been hired as a management analyst at Digital Cell Phone Inc. Digital Cell manufactures a broad line of phones for the consumer market. Paul's boss, John Smith

Case-cohort study, Case-cohort study : The research design in epidemiology ...

Case-cohort study : The research design in epidemiology which involves the sampling of controls at the outset of the study that is to be compared with the cases from the cohort. Th

Bartlett decomposition, Bartlett decomposition : The expression for the ra...

Bartlett decomposition : The expression for the random matrix A which has a Wishart distribution as the product of the triangular matrix and the transpose of it. Letting each of x

The breusch-pagan test, The Null Hypothesis - H0:  There is no heteroscedas...

The Null Hypothesis - H0:  There is no heteroscedasticity i.e. β 1 = 0 The Alternative Hypothesis - H1:  There is heteroscedasticity i.e. β 1 0 Reject H0 if Q = ESS/2 >

Quantitative, How has quantitative analysis changed the current scenario in...

How has quantitative analysis changed the current scenario in the management world today?

Describe respondent-driven sampling (rds), Respondent-driven sampling (RDS ...

Respondent-driven sampling (RDS ): The form of snowball sampling which starts with the recruitment of the small number of people in the target population to serve as the seeds. Aft

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