The Enigma of Probability and Physics pp 33-46 | Cite as
Main Theorems
Chapter
Abstract
The event Q = (f 0; θ lm ′ … p) will be called the sum (or union) of the events \({Q_r} = \left( {{f_0};{{\theta '}^{\left( r \right)}}_{{l_r}{m_r}} \ldots {p_r}} \right)\) if \({\theta '_{lm \ldots p}} = { \cup _r}{\theta '_{{l_r}{m_r} \ldots {p_r}}}\). We write the sum of the events as Q = Σ r Q r if the set of events Q r is finite or denumerable, or as Q = ∪α Q α if it is nonenumerable. (We use the term ‘event’ in place of ‘random event’ for the sake of brevity, except when this may cause misunderstanding.)
Keywords
Abstract Object Random Test Elementary Event Concrete Object Addition Theorem
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Suggested References
- 1.Buffon, G,: 1777, Essais d’arithmetique morale (supplement á l’Histoire Naturelle, Vol. 4). In this book, one can find the original exposition of Buffo’s problem together with its theoretical and experimental solution.Google Scholar
- 2.Fry, T.C,: 1928 (1st. edn) and 1965 (2nd edn.), Probability and it’s Engineering Uses, D. van Nostrand, New York. This book contains a simple derivation of the normal and Poisson’s laws from the binomial one.Google Scholar
Copyright information
© D. Reidel Publishing Company, Dordrecht, Holland 1984