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Principles of Statistics


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  • Product Description

PROBABILITY THEORY is an entirely mathematical subject. Starting with the description of a problem, we apply the axioms and rules of the theory to solve well-specified problems. Our starting point is a Probability Model, i.e. a fully specified distribution P for a given variable (or variables, or process. . . ). STATISTICS (or Statistical Inference) can be regarded as the inverse of Probability: STATISTICS = (PROBABILITY)?1. We do not start with a known probability distribution and explore its mathematically determined properties. Instead, we start with DATA, regarded as having been generated from some unknown probability distribution P, and want to say something sensible about P (perhaps so as to be able to say something sensible about future variables also generated from P). STATISTICS: observed values x ? properties of unknown generating distribution P PROBABILITY: known P ? properties of (as yet unobserved) observables X . Although the top route is entirely mathematical, the bottom route is not! Indeed, how to say something sensible about the future on the basis of past data constitutes the essentially insoluble philosophical problem of INDUCTION

Product Specifications
SKU :COC93846
AuthorProf Magid Maatallah
Number of Pages120
Publishing Year2011-09-27T00:00:00.000
Edition1 st
Book TypeStochastics
Country of ManufactureIndia
Product BrandLAP LAMBERT Academic Publishing
Product Packaging InfoBox
In The Box1 Piece
Product First Available On ClickOnCare.com2015-08-14 00:00:00
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