Probability basics - 1. Axioms of pr obability p2. 1.1 I...

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Unformatted text preview: 1. Axioms of pr obability p2. 1.1 I ntr oduction Luca Paccioli(1445-1514) Italian (studies of chances of events) Niccolo Tartaglia(1499-1557) Girolamo Cardano(1501-1576) Galileo Galielei(1564-1642) Blaise Pascal(1623-1662) French Pierre de Fermat(1601-1665) 1655 Christian Huygens(1629-1695) Dutch first book “On Calculations in Games of Chance) James Bernoulli(1654-1705) Abraham de Moivre(1667-1754) p3. I ntr oduction Pierre-Simon Laplace(1749-1827) Simeon Denis Poisson(1781-1840) Karl Friedrich Gauss(1777-1855) Pafnuty Chebyshev(1821-1894) Russian Andrei Markov(1856-1922) Aleksandr Lyapunov(1857-1918) 1900 David Hilbert(1862-1943) pointed out the problem of the axiomatic treatment of the theory of probability p4. I ntr oduction Emile Borel(1871-1956) Serge Bernstein(1880-1968) Richard von Mises(1883-1953) * 1933 Andrei Kolmogorov(1903-1087) Russian successfully axiomatized the theory of probability p5. 1.2 Sample space and events Experiment (eg. Tossing a die) Outcome (sample point) Sample space ={all outcomes} Event : subset of sample space • Ex1.1 tossing a coin once sample space S = {H, T}...
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This note was uploaded on 10/26/2010 for the course EE 621 taught by Professor Dr.daigle during the Fall '10 term at University of Mississippi School of Law.

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Probability basics - 1. Axioms of pr obability p2. 1.1 I...

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