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

Quatitative methods, An oil company is considering whether or not to bid fo...

An oil company is considering whether or not to bid for an offshore drilling contract. If they bid, the value would be $600m with a 65% chance of gaining the contract. The company

Probability., 5. Packages from a machine a normally distributed with a mean...

5. Packages from a machine a normally distributed with a mean 200g and its standard deviation 2grams. Find the probability that a package from the machine weighs a) Less than

Exponential family, A family of the probability distributions of the form g...

A family of the probability distributions of the form given as   here θ is the parameter and a, b, c, d are the known functions. It includes the gamma distribution, normal dis

Regression analysis, with the help of regression analysis create a model th...

with the help of regression analysis create a model that best describes the situation. Indicate clearly the effect that each factors given in the attached file and other factors ma

Half-normal plot, Half-normal plot is a  plot for diagnosing the model inad...

Half-normal plot is a  plot for diagnosing the model inadequacy or revealing the presence of outliers, in which the absolute values of, for instance, the residuals from the multipl

Determinant, A value related with the square matrix which represents sums a...

A value related with the square matrix which represents sums and products of its elements. For instance, if the matrix is   then the determinant of A (conventionally written as

Falsediscoveryrate (fdr), The approach of controlling the error rate in an ...

The approach of controlling the error rate in an exploratory analysis where number of hypotheses are tested, but where the strict control which is provided by multiple comparison p

Balanced incomplete block design, Balanced incomplete block design : A desi...

Balanced incomplete block design : A design in which all the treatments are not used in all blocks. Such designs have the below stated properties: * each block comprises the

Explain historical controls, Historical controls : The group of patients tr...

Historical controls : The group of patients treated in the past with the standard therapy, taken in use as the control group for evaluating the new treatment on the present patient

Factorial moment generating function, The function of a variable t which, w...

The function of a variable t which, when extended formally as a power series in t, yields factorial moments as the coefficients of the respective powers. If the P(t) is probability

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