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  2. Importance sampling - Wikipedia

    en.wikipedia.org/wiki/Importance_sampling

    The basic idea of importance sampling is to sample the states from a different distribution to lower the variance of the estimation of E[X;P], or when sampling from P is difficult. This is accomplished by first choosing a random variable L ≥ 0 {\displaystyle L\geq 0} such that E [ L ; P ] = 1 and that P - almost everywhere L ( ω ) ≠ 0 ...

  3. Constant (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Constant_(mathematics)

    The derivative of a constant function is zero, as noted above, and the differential operator is a linear operator, so functions that only differ by a constant term have the same derivative. To acknowledge this, a constant of integration is added to an indefinite integral ; this ensures that all possible solutions are included.

  4. Research proposal - Wikipedia

    en.wikipedia.org/wiki/Research_proposal

    A research proposal is a document proposing a research project, generally in the sciences or academia, and generally constitutes a request for sponsorship of that research. [1] Proposals are evaluated on the cost and potential impact of the proposed research, and on the soundness of the proposed plan for carrying it out. [2] Research proposals ...

  5. List of mathematical constants - Wikipedia

    en.wikipedia.org/wiki/List_of_mathematical_constants

    A mathematical constant is a key number whose value is fixed by an unambiguous definition, often referred to by a symbol (e.g., an alphabet letter), or by mathematicians' names to facilitate using it across multiple mathematical problems. [1]

  6. Estimation of covariance matrices - Wikipedia

    en.wikipedia.org/wiki/Estimation_of_covariance...

    The sample covariance matrix (SCM) is an unbiased and efficient estimator of the covariance matrix if the space of covariance matrices is viewed as an extrinsic convex cone in R p×p; however, measured using the intrinsic geometry of positive-definite matrices, the SCM is a biased and inefficient estimator. [1]

  7. Sequential probability ratio test - Wikipedia

    en.wikipedia.org/wiki/Sequential_probability...

    The SPRT is currently the predominant method of classifying examinees in a variable-length computerized classification test (CCT) [citation needed].The two parameters are p 1 and p 2 are specified by determining a cutscore (threshold) for examinees on the proportion correct metric, and selecting a point above and below that cutscore.

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  9. Wikipedia:Research help/Proposal - Wikipedia

    en.wikipedia.org/wiki/Wikipedia:Research_help/...

    This page documents a project proposal from the Wikipedia Library team about test links in reference sections to a "Research help" page (see WP:Research Help) to help Wikipedia readers, especially readers that use Wikipedia in research environments like schools and libraries, get a more nuanced understanding of how to use Wikipedia in research ...