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2. Law of the unconscious statistician - Wikipedia

   en.wikipedia.org/wiki/Law_of_the_unconscious...

   The 'discrete case' given above is the special case arising when X takes on only countably many values and μ is a probability measure. In fact, the discrete case (although without the restriction to probability measures) is the first step in proving the general measure-theoretic formulation, as the general version follows therefrom by an ...

3. Zipf–Mandelbrot law - Wikipedia

   en.wikipedia.org/wiki/Zipf–Mandelbrot_law

   In probability theory and statistics, the Zipf–Mandelbrot law is a discrete probability distribution.Also known as the Pareto–Zipf law, it is a power-law distribution on ranked data, named after the linguist George Kingsley Zipf, who suggested a simpler distribution called Zipf's law, and the mathematician Benoit Mandelbrot, who subsequently generalized it.

4. Category:Probability problems - Wikipedia

   en.wikipedia.org/wiki/Category:Probability_problems

   Print/export Download as PDF; Printable version; In other projects ... Pages in category "Probability problems" The following 31 pages are in this category, out of 31 ...

5. Logarithmic distribution - Wikipedia

   en.wikipedia.org/wiki/Logarithmic_distribution

   In probability and statistics, the logarithmic distribution (also known as the logarithmic series distribution or the log-series distribution) is a discrete probability distribution derived from the Maclaurin series expansion ⁡ = + + +.

6. Hypergeometric distribution - Wikipedia

   en.wikipedia.org/wiki/Hypergeometric_distribution

   In probability theory and statistics, the hypergeometric distribution is a discrete probability distribution that describes the probability of successes (random draws for which the object drawn has a specified feature) in draws, without replacement, from a finite population of size that contains exactly objects with that feature, wherein each draw is either a success or a failure.

7. Discrete uniform distribution - Wikipedia

   en.wikipedia.org/wiki/Discrete_uniform_distribution

   The problem of estimating the maximum of a discrete uniform distribution on the integer interval [,] from a sample of k observations is commonly known as the German tank problem, following the practical application of this maximum estimation problem, during World War II, by Allied forces seeking to estimate German tank production.

8. Dyadic distribution - Wikipedia

   en.wikipedia.org/wiki/Dyadic_Distribution

   A dyadic distribution is a probability distribution whose probability mass function is = where is some whole number. It is possible to find a binary code defined on this distribution, which has an average code length that is equal to the entropy. [1]

9. Balls into bins problem - Wikipedia

   en.wikipedia.org/wiki/Balls_into_bins_problem

   The problem can be modelled using a Multinomial distribution, and may involve asking a question such as: What is the expected number of bins with a ball in them? [ 1 ] Obviously, it is possible to make the load as small as m / n by putting each ball into the least loaded bin.