Curse of dimensionality, Advanced Statistics

Assignment Help:

The phrase first spoken by one of the witches in Macbeth. Now this is used to describe the exponential rise in the number of possible locations in the multivariate space as dimensionality increases. Thus the single binary variable has the two probable values, a 10-dimensional binary vector has over the thousand possible values and a 20-dimensional binary vector over the million possible values. This implies that sample sizes should be increase exponentially with the dimension in order to maintain the constant average sample size in the cells of space. Another consequence is that, for the multivariate normal distribution, the vast mass of the probability lies far from the centre of it if the dimensionality is large.


Related Discussions:- Curse of dimensionality

Autocorrelation, This graph for Cross Correlation Function for RES1, RES1 s...

This graph for Cross Correlation Function for RES1, RES1 shows that there is possibly negative autocorrelation as there are alternating spikes; also the first spike is negative whi

Back-projection, Back-projection: A term most often applied to the procedu...

Back-projection: A term most often applied to the procedure for reconstructing plausible HIV incidence curves from the AIDS incidence data. The method or technique assumes that th

Lexis diagram, Lexis diagram  is the diagram for displaying the simultaneou...

Lexis diagram  is the diagram for displaying the simultaneous effects of the two time scales (generally age and calendar time) on a rate. For instance, mortality rates from cancer

Explain influence statistics, Influence statistics: The range of statistic...

Influence statistics: The range of statistics designed to assess the effect or the in?uence of an observation in determining results of the regression analysis. The general approa

Dorfman scheme, An approach to investigations designed to recognize a parti...

An approach to investigations designed to recognize a particular medical condition in the large population, usually by means of a blood test, which might result in the considerable

Atomistic fallacy, Atomistic fallacy : A fallacy which arises because of th...

Atomistic fallacy : A fallacy which arises because of the association between two variables at the individual level might vary from the association between the same two variables m

Fiducial inference, The problematic and enigmatic theory of an inference in...

The problematic and enigmatic theory of an inference introduced by the Fisher, which extracts a probability distribution for the parameter on the basis of the data without having f

Probability distribution of the net present value, Suppose that $4 million ...

Suppose that $4 million is available for investment in three projects.  The probability distribution of the net present value earned from each project depends on how much is invest

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