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

Tests for heteroscedasticity, The Null Hypothesis - H0: There is no heteros...

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 nR2 > MTB >

Orthogonal, Orthogonal is a term which occurs in several regions of the st...

Orthogonal is a term which occurs in several regions of the statistics with different meanings in each case. Most commonly the encountered in the relation to two variables or t

Cycle hunt analysis, The procedure for clustering variables in the multivar...

The procedure for clustering variables in the multivariate data, which forms the clusters by performing one or other of the below written three operations: * combining two varia

Direct edacyclic graph, Formal graphical representation of the "causal diag...

Formal graphical representation of the "causal diagrams" or the "path diagrams" where the  relationships are directed but acyclic (that is no feedback relations allowed). Plays an

Cumulative frequency distribution, The tabulation of a sample of observatio...

The tabulation of a sample of observations in terms of numbers falling below particular values. The empirical equivalent of the growing probability distribution. An example of such

Bonferroni correction, Bonferroni correction : A procedure for guarding aga...

Bonferroni correction : A procedure for guarding against the rise in the probability of a type I error when performing the multiple signi?cance tests. To maintain probability of a

Persson rootze ´n estimator, Persson Rootze ´n estimator  is an estimator f...

Persson Rootze ´n estimator  is an estimator for the parameters in the normal distribution when the sample is truncated so that all the observations under some fixed value C are re

Rational –experiential inventory, Demographic data: Age: continuous vari...

Demographic data: Age: continuous variable Gender: categorical variable with males coded 1, females coded 2. Relationship status: categorical variable 1 to 5. Rational

Blinding, Blinding : A procedure used in clinical trials to get rid of the ...

Blinding : A procedure used in clinical trials to get rid of the possible bias which might be introduced if the patient and/or the doctor knew which treatment the patient is receiv

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