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  2. Binomial distribution - Wikipedia

    en.wikipedia.org/wiki/Binomial_distribution

    The formula can be understood as ... The Bayes estimator is asymptotically efficient and as the sample size ... The addition of 0.5 is the continuity correction; the ...

  3. Log-normal distribution - Wikipedia

    en.wikipedia.org/wiki/Log-normal_distribution

    Since the sample mean and variance are independent, and the sum of normally distributed variables is also normal, we get that: ^ + ˙ (+, + ()) Based on the above, standard confidence intervals for + can be constructed (using a Pivotal quantity) as: ^ + + And since confidence intervals are preserved for monotonic transformations, we get that

  4. Quantitative genetics - Wikipedia

    en.wikipedia.org/wiki/Quantitative_genetics

    [Here, and following, the 2N refers to the previously defined sample size, not to any "islands adjusted" version.] After simplification, [ 37 ] i s l a n d s Δ f = ( 1 − m ) 2 2 N − m 2 ( 2 N − 1 ) {\displaystyle ^{\mathsf {islands}}\Delta f={\frac {\left(1-m\right)^{2}}{2N-m^{2}\left(2N-1\right)}}} Notice that when m = 0 this reduces to ...

  5. Pi - Wikipedia

    en.wikipedia.org/wiki/Pi

    The sample mean of | W 200 | is μ = 56/5, and so 2(200)μ −2 ≈ 3.19 is within 0.05 of π. Another way to calculate π using probability is to start with a random walk , generated by a sequence of (fair) coin tosses: independent random variables X k such that X k ∈ {−1,1} with equal probabilities.

  6. List of unsolved problems in physics - Wikipedia

    en.wikipedia.org/wiki/List_of_unsolved_problems...

    The following is a list of notable unsolved problems grouped into broad areas of physics. [1]Some of the major unsolved problems in physics are theoretical, meaning that existing theories seem incapable of explaining a certain observed phenomenon or experimental result.

  7. Voter identification laws in the United States - Wikipedia

    en.wikipedia.org/wiki/Voter_identification_laws...

    Section 4 of the Act contained the formula for determining which states or political subdivisions were covered by Section 5. [56] The majority opinion argued that the formula used to determine which jurisdictions required federal oversight or preclearance had not been updated to reflect current social conditions, including a decline in ...