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  2. Martingale (probability theory) - Wikipedia

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

    A convex function of a martingale is a submartingale, by Jensen's inequality. For example, the square of the gambler's fortune in the fair coin game is a submartingale (which also follows from the fact that X n 2 − n is a martingale). Similarly, a concave function of a martingale is a supermartingale.

  3. Markov model - Wikipedia

    en.wikipedia.org/wiki/Markov_model

    Markov-chains have been used as a forecasting methods for several topics, for example price trends, [8] wind power [9] and solar irradiance. [10] The Markov-chain forecasting models utilize a variety of different settings, from discretizing the time-series [ 9 ] to hidden Markov-models combined with wavelets [ 8 ] and the Markov-chain mixture ...

  4. Electric vs. Gas Cars: Which Is More Cost Effective in the ...

    www.aol.com/electric-vs-gas-cars-more-130508992.html

    Many components, such as spark plugs or a gas-powered engine, can make maintenance costs expensive. “Without spark plugs to replace or oil to change, electric vehicles have a clear leg up on ...

  5. Energy conversion efficiency - Wikipedia

    en.wikipedia.org/wiki/Energy_conversion_efficiency

    Energy converter is an example of an energy transformation. For example, a light bulb falls into the categories energy converter. η = P o u t P i n {\displaystyle \eta ={\frac {P_{\mathrm {out} }}{P_{\mathrm {in} }}}} Even though the definition includes the notion of usefulness, efficiency is considered a technical or physical term.

  6. Gas vs. Electric Cars: Pros and Cons of Each - AOL

    www.aol.com/gas-vs-electric-cars-pros-170000900.html

    Gas cars also refuel more quickly than even the fastest-charging EVs, reducing downtime and overall trip length on longer journeys. Fixing a gas car tends to be less expensive as well, despite the ...

  7. Why EVs and gas-powered cars sharing the same platform ... - AOL

    www.aol.com/finance/why-evs-gas-powered-cars...

    The drawback of using a shared platform is cost inefficiencies. While the up-front cost is likely much higher for dedicated EV and gas-powered platforms, down-the-line efficiencies of scale and ...

  8. 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.

  9. Stochastic process - Wikipedia

    en.wikipedia.org/wiki/Stochastic_process

    Markov processes are stochastic processes, traditionally in discrete or continuous time, that have the Markov property, which means the next value of the Markov process depends on the current value, but it is conditionally independent of the previous values of the stochastic process. In other words, the behavior of the process in the future is ...