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  2. Download, install, or uninstall AOL Desktop Gold

    help.aol.com/articles/aol-desktop-downloading...

    Learn how to download and install or uninstall the Desktop Gold software and if your computer meets the system requirements. AOL APP. ... • Windows 7 or newer

  3. MetaTrader 4 - Wikipedia

    en.wikipedia.org/wiki/MetaTrader_4

    MetaTrader 4 Administrator - is designed to remotely manage the server settings. MetaTrader 4 Manager - designed to handle trade inquiries and manage customer accounts. MetaTrader 4 Data Center - a specialized proxy server and can be an intermediary between the server and client terminals. It reduces the price quote sending load on the main server.

  4. Martingale (probability theory) - Wikipedia

    en.wikipedia.org/wiki/Martingale_(probability...

    In probability theory, a martingale is a sequence of random variables (i.e., a stochastic process) for which, at a particular time, the conditional expectation of the next value in the sequence is equal to the present value, regardless of all prior values. Stopped Brownian motion is an example of a martingale. It can model an even coin-toss ...

  5. Martingale representation theorem - Wikipedia

    en.wikipedia.org/wiki/Martingale_representation...

    The martingale representation theorem can be used to establish the existence of a hedging strategy. Suppose that ( M t ) 0 ≤ t < ∞ {\displaystyle \left(M_{t}\right)_{0\leq t<\infty }} is a Q-martingale process, whose volatility σ t {\displaystyle \sigma _{t}} is always non-zero.

  6. Martingale (betting system) - Wikipedia

    en.wikipedia.org/wiki/Martingale_(betting_system)

    A martingale is a class of betting strategies that originated from and were popular in 18th-century France. The simplest of these strategies was designed for a game in which the gambler wins the stake if a coin comes up heads and loses if it comes up tails.

  7. Risk-neutral measure - Wikipedia

    en.wikipedia.org/wiki/Risk-neutral_measure

    If no equivalent martingale measure exists, arbitrage opportunities do. In markets with transaction costs, with no numéraire, the consistent pricing process takes the place of the equivalent martingale measure. There is in fact a 1-to-1 relation between a consistent pricing process and an equivalent martingale measure.

  8. Martingale difference sequence - Wikipedia

    en.wikipedia.org/wiki/Martingale_difference_sequence

    By construction, this implies that if is a martingale, then = will be an MDS—hence the name. The MDS is an extremely useful construct in modern probability theory because it implies much milder restrictions on the memory of the sequence than independence , yet most limit theorems that hold for an independent sequence will also hold for an MDS.

  9. Doob–Meyer decomposition theorem - Wikipedia

    en.wikipedia.org/wiki/Doob–Meyer_decomposition...

    The Doob–Meyer decomposition theorem is a theorem in stochastic calculus stating the conditions under which a submartingale may be decomposed in a unique way as the sum of a martingale and an increasing predictable process. It is named for Joseph L. Doob and Paul-André Meyer.