On randomness and probability: how to mathematically model uncertain events

Karandikar, Rajeeva L. (1996) On randomness and probability: how to mathematically model uncertain events Resonance - Journal of Science Education, 1 (2). pp. 55-68. ISSN 0971-8044

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Official URL: http://www.ias.ac.in/j_archive/resonance/1/2/55-68...

Related URL: http://dx.doi.org/10.1007/BF02835700

Abstract

Whether random phenomena exist in nature or not, it is useful to think of the notion of randomness as a mathematical model for a phenomenon whose outcome is uncertain. Such a model can be obtained by exploiting the observation that, in many phenomena, even though the outcome in any given instance is uncertain, collectively there is a pattern. An axiomatic development of such a model is given below. It is also shown that in such a set-up an interpretation of the probability of an event can be provided using the 'Law of Large Numbers'.

Item Type:Article
Source:Copyright of this article belongs to Indian Academy of Sciences.
ID Code:18411
Deposited On:17 Nov 2010 09:15
Last Modified:17 May 2016 03:08

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