# Statistical Inference Algorithm

(Redirected from Statistical inference)

A statistical inference algorithm is an inference algorithm that can be implemented by a statistical inference system (to solve a statistical inference task).

## References

### 2013

• (Wikipedia, 2013) ⇒ http://en.wikipedia.org/wiki/Statistical_inference
• In statistics, statistical inference is the process of drawing conclusions from data that is subject to random variation, for example, observational errors or sampling variation.[1] More substantially, the terms statistical inference, statistical induction and inferential statistics are used to describe systems of procedures that can be used to draw conclusions from datasets arising from systems affected by random variation,[2] such as observational errors, random sampling, or random experimentation.[1] Initial requirements of such a system of procedures for inference and induction are that the system should produce reasonable answers when applied to well-defined situations and that it should be general enough to be applied across a range of situations.

The outcome of statistical inference may be an answer to the question "what should be done next?", where this might be a decision about making further experiments or surveys, or about drawing a conclusion before implementing some organizational or governmental policy.

1. Upton, G., Cook, I. (2008) Oxford Dictionary of Statistics, OUP. ISBN 978-0-19-954145-4
2. Dodge, Y. (2003) The Oxford Dictionary of Statistical Terms, OUP. ISBN 0-19-920613-9 (entry for "inferential statistics")

### 2009

• (Wikipedia, 2009) ⇒ http://en.wikipedia.org/wiki/Statistical_inference
• Statistical inference or statistical induction comprises the use of Statistics and random sampling to make Inferences concerning some unknown aspect of a Population. It is distinguished from Descriptive Statistics.

Statistical inference is inference about a population from a random sample drawn from it or, more generally, about a random process from its observed behavior during a finite period of time. It includes:

• There are several distinct schools of thought about the justification of statistical inference. All are based on some idea of what real world phenomena can be reasonably modeled as Probability.
• The topics below are usually included in the area of statistical inference.