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  2. Standard normal table - Wikipedia

    en.wikipedia.org/wiki/Standard_normal_table

    Example: Prob(Z ≤ 0.69) = 0.7549. Complementary cumulative gives a probability that a statistic is greater than Z. This equates to the area of the distribution above Z. Example: Find Prob(Z ≥ 0.69). Since this is the portion of the area above Z, the proportion that is greater than Z is found by subtracting Z from 1.

  3. Z-test - Wikipedia

    en.wikipedia.org/wiki/Z-test

    To calculate the standardized statistic = (¯), we need to either know or have an approximate value for σ 2, from which we can calculate =. In some applications, σ 2 is known, but this is uncommon. If the sample size is moderate or large, we can substitute the sample variance for σ 2 , giving a plug-in test.

  4. Scott's rule - Wikipedia

    en.wikipedia.org/wiki/Scott's_Rule

    The Rice rule is often reported with the factor of 2 outside the cube root, () /, and may be considered a different rule. The key difference from Scott's rule is that this rule does not assume the data is normally distributed and the bin width only depends on the number of samples, not on any properties of the data.

  5. Normal distribution - Wikipedia

    en.wikipedia.org/wiki/Normal_distribution

    Newton's method is ideal to solve this problem because the first derivative of (), which is an integral of the normal standard distribution, is the normal standard distribution, and is readily available to use in the Newton's method solution.

  6. Zipf's law - Wikipedia

    en.wikipedia.org/wiki/Zipf's_law

    Zipf's law (/ z ɪ f /; German pronunciation:) is an empirical law stating that when a list of measured values is sorted in decreasing order, the value of the n-th entry is often approximately inversely proportional to n. The best known instance of Zipf's law applies to the frequency table of words in a text or corpus of natural language:

  7. The rule of 25 for retirement: What it means and how to ... - AOL

    www.aol.com/finance/rule-25-retirement-means...

    Let’s say you plan to collect $20,000 in Social Security benefits each year. Subtract that from your annual retirement expenses (40,000 – 20,0000 = $20,000). Finally, apply the rule of 25.

  8. Stirling's approximation - Wikipedia

    en.wikipedia.org/wiki/Stirling's_approximation

    In mathematics, Stirling's approximation (or Stirling's formula) is an asymptotic approximation for factorials. It is a good approximation, leading to accurate results even for small values of n {\displaystyle n} .

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