Decision theory, Advanced Statistics

Assignment Help:

A unified approach to all problems of prediction, estimation, and hypothesis testing. It is based on concept of the decision function, which tells the performer of experiment how to conduct the statistical aspects of an experiment and which action to take for each possible outcome. Choosing the decision function needs a loss function to be defined which assigns numerical values to making bad or good decisions. Explicitly a general loss function is denoted by L d; expressing how bad it would be to make decision d if the parameter value were. A quadratic loss function, it could be defined as

995_decision theory1.png 

and a bilinear loss function as

51_decision theory.png

 

 


Related Discussions:- Decision theory

Fractional factorial design, Designs in which the information on main effec...

Designs in which the information on main effects and low-order inter- actions are attained by running only the fraction of the complete factorial experiment and supposing that part

Bayesian inference, Bayesian inference : An approach to the inference based...

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

Expected monetary value, Ask quesoil company is considering whether or not ...

Ask quesoil 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 com

Mcnemar''s test, McNemar's test  is the test for comparing proportions in d...

McNemar's test  is the test for comparing proportions in data involving the paired samples. The test statistic can be given by   it is most useful when the data have a symmetri

Doob meyer decomposition, A theorem which shows that any counting process m...

A theorem which shows that any counting process may be uniquely decomposed as the sum of a martingale and a predictable, right-continous process called the compensator, assuming ce

Describe probability distribution, Probability distribution : For the discr...

Probability distribution : For the discrete random variable, a mathematical formula which provides the probability of each value of variable. See, for instance, binomial distributi

Mardia''s multivariate normality test, Mardia's multivariate normality test...

Mardia's multivariate normality test is a test that a set of the multivariate data arise from the multivariate normal distribution against departures due to the kurtosis. The test

Data fusion, The act of combining data from heterogeneous sources with the ...

The act of combining data from heterogeneous sources with the intent of extracting information that would not be available for any single source in isolation. An example is the com

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

Historigram, difference between histogram and historigram

difference between histogram and historigram

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