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  2. 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 ...

  3. Conditional expectation - Wikipedia

    en.wikipedia.org/wiki/Conditional_expectation

    In probability theory, the conditional expectation, conditional expected value, or conditional mean of a random variable is its expected value evaluated with respect to the conditional probability distribution. If the random variable can take on only a finite number of values, the "conditions" are that the variable can only take on a subset of ...

  4. CNN Fact-Checker Spots 'Most Egregious Example Yet' Of A ...

    www.aol.com/cnn-fact-checker-spots-most...

    A new pro-Trump spot was “the most egregious example yet,” Dale wrote on X, formerly Twitter. New Trump closing ad begins: “Kamala backed Biden on everything.”

  5. Necessity and sufficiency - Wikipedia

    en.wikipedia.org/wiki/Necessity_and_sufficiency

    In logic and mathematics, necessity and sufficiency are terms used to describe a conditional or implicational relationship between two statements. For example, in the conditional statement: "If P then Q", Q is necessary for P, because the truth of Q is guaranteed by the truth of P.

  6. Trump’s rambling answer to a child care question, deconstructed

    www.aol.com/trump-rambling-answer-child-care...

    Even Trump’s doubling of the credit to $2,000 is set to expire next year, so this will be a key issue for whoever wins the White House. Luhby has written extensively about the child tax credit .

  7. Alternating conditional expectations - Wikipedia

    en.wikipedia.org/wiki/Alternating_conditional...

    For example, ordered real and unordered categorical variables can be incorporated in the same regression equation. Variables of mixed type are admissible. Variables of mixed type are admissible. As a tool for data analysis, the ACE procedure provides graphical output to indicate a need for transformations as well as to guide in their choice.

  8. Jerome Powell makes clear the Fed is already thinking about ...

    www.aol.com/finance/jerome-powell-makes-clear...

    Tariffs are of course a central question about what Trump 2.0 may entail for the economy, with the president-elect pledging a potential wave of new trade wars on China and other trading partners ...

  9. Contraposition - Wikipedia

    en.wikipedia.org/wiki/Contraposition

    " This follows logically, and as a rule, contrapositives share the truth value of their conditional. The inverse is "If a polygon is not a quadrilateral, then it does not have four sides." In this case, unlike the last example, the inverse of the statement is true. The converse is "If a polygon has four sides, then it is a quadrilateral.