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2. Sample space - Wikipedia

   en.wikipedia.org/wiki/Sample_space

   A sample space is usually denoted using set notation, and the possible ordered outcomes, or sample points, [5] are listed as elements in the set. It is common to refer to a sample space by the labels S, Ω, or U (for "universal set"). The elements of a sample space may be numbers, words, letters, or symbols.

3. Probability space - Wikipedia

   en.wikipedia.org/wiki/Probability_space

   This leads to different choices of sample space. The σ-algebra is a collection of all the events we would like to consider. This collection may or may not include each of the elementary events. Here, an "event" is a set of zero or more outcomes; that is, a subset of the sample space. An event is considered to have "happened" during an ...

4. Compositional data - Wikipedia

   en.wikipedia.org/wiki/Compositional_data

   In geology, a rock composed of different minerals may be a compositional data point in a sample of rocks; a rock of which 10% is the first mineral, 30% is the second, and the remaining 60% is the third would correspond to the triple [0.1, 0.3, 0.6]. A data set would contain one such triple for each rock in a sample of rocks.

5. Event (probability theory) - Wikipedia

   en.wikipedia.org/wiki/Event_(probability_theory)

   An event, however, is any subset of the sample space, including any singleton set (an elementary event), the empty set (an impossible event, with probability zero) and the sample space itself (a certain event, with probability one). Other events are proper subsets of the sample space that contain multiple elements. So, for example, potential ...

6. Conditional probability - Wikipedia

   en.wikipedia.org/wiki/Conditional_probability

   A is assumed to be the set of all possible outcomes of an experiment or random trial that has a restricted or reduced sample space. The conditional probability can be found by the quotient of the probability of the joint intersection of events A and B , that is, P ( A ∩ B ) {\displaystyle P(A\cap B)} , the probability at which A and B occur ...

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8. Space (mathematics) - Wikipedia

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

   Every space treated in Section "Types of spaces" above, except for "Non-commutative geometry", "Schemes" and "Topoi" subsections, is a set (the "principal base set" of the structure, according to Bourbaki) endowed with some additional structure; elements of the base set are usually called "points" of this space. In contrast, elements of (the ...

9. Parameter space - Wikipedia

   en.wikipedia.org/wiki/Parameter_space

   The parameter space is the space of all possible parameter values that define a particular mathematical model. It is also sometimes called weight space, and is often a subset of finite-dimensional Euclidean space. In statistics, parameter spaces are particularly useful for describing parametric families of probability distributions.