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The mathematics of gambling is a collection of probability applications encountered in games of chance and can get included in game theory.From a mathematical point of view, the games of chance are experiments generating various types of aleatory events, and it is possible to calculate by using the properties of probability on a finite space of possibilities.
Example of the optimal Kelly betting fraction, versus expected return of other fractional bets. In probability theory, the Kelly criterion (or Kelly strategy or Kelly bet) is a formula for sizing a sequence of bets by maximizing the long-term expected value of the logarithm of wealth, which is equivalent to maximizing the long-term expected geometric growth rate.
Heston is known [2] for analyzing options with stochastic volatility. [3] From 1998 to 2002, Heston worked as Vice President of U.S. Arbitrage and also of Quantitative Equities, in Goldman Sachs, New York. [1] Heston is the originator of the eponymous Heston model, a mathematical formulation describing the evolution of an underlying asset's ...
The Nikkei stock index hemorrhaged 12% that Monday — its biggest one-day drop since 1987 — while the S&P 500 plummeted 3%. The VIX Volatility Index ( ^VIX ) spiked to 65, the third-highest ...
The Chicago Board Options Exchange's Volatility Index, also known as the VIX, has been trending lower lately, which has some analysts predicting a stock market correction between late January and ...
Statistical inference might be thought of as gambling theory applied to the world around us. The myriad applications for logarithmic information measures tell us precisely how to take the best guess in the face of partial information. [1] In that sense, information theory might be considered a formal expression of the theory of gambling. It is ...
The VIX is an index run by the Chicago Board Options Exchange, now known as Cboe, that measures the stock market’s expectation for volatility over the next 30 days based on option prices for the ...
In statistics, gambler's ruin is the fact that a gambler playing a game with negative expected value will eventually go bankrupt, regardless of their betting system.. The concept was initially stated: A persistent gambler who raises his bet to a fixed fraction of the gambler's bankroll after a win, but does not reduce it after a loss, will eventually and inevitably go broke, even if each bet ...