|
Organizers |
Perfect experimentation: a theoretical approach to probability
by
Dhiritikesh Chakrabarty
A theoretical approach, under the situation where the associated experimentation is a perfect one, to probability based on its measurement has been introduced in describing the probability of an event associated to a random experiment and a theoretical definition of probability has been framed of by applying this approach. The basic properties of probability that are theorems derived from its classical definition introduced by Bernoulli (1713) and which are the axioms of its axiomatic definition introduced by Bernstein (1927) and Kolmogorov (1933) have been derived from this theoretical definition. The links of this definition of probability with its classical definition due to Bernoulli and its empirical definition due to Fisher (1932) have been searched for. Also, one fundamental theorem of probability that has been hypothesized as a basis of searching for method/methods of determining the exact value of the probability of an event associated to a random experiment has been derived from this theoretical definition of probability.
KEY WORDS:
Perfect Experimentation, Probability, Theoretical Definition, Fundamental Theorem.
Date received: August 13, 2005
Copyright © 2005 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caqt-41.