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Big O in probability notation

Index Big O in probability notation

The order in probability notation is used in probability theory and statistical theory in direct parallel to the big-O notation that is standard in mathematics. [1]

18 relations: Arbitrariness, Big O notation, Chebyshev's inequality, Convergence of random variables, Function (mathematics), Infinity, Limit, Mathematics, Positive, Probability, Probability theory, Random variable, Real number, Real-valued function, Sample size determination, Statistical theory, Yvonne Bishop, 0.

Arbitrariness

Arbitrariness is the quality of being "determined by chance, whim, or impulse, and not by necessity, reason, or principle".

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Big O notation

Big O notation is a mathematical notation that describes the limiting behaviour of a function when the argument tends towards a particular value or infinity.

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Chebyshev's inequality

In probability theory, Chebyshev's inequality (also spelled as Tchebysheff's inequality, Нера́венство Чебышёва, also called Bienaymé-Chebyshev inequality) guarantees that, for a wide class of probability distributions, no more than a certain fraction of values can be more than a certain distance from the mean.

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Convergence of random variables

In probability theory, there exist several different notions of convergence of random variables.

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Function (mathematics)

In mathematics, a function was originally the idealization of how a varying quantity depends on another quantity.

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Infinity

Infinity (symbol) is a concept describing something without any bound or larger than any natural number.

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Limit

Limit may refer to.

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Mathematics

Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.

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Positive

Positive is a property of positivity and may refer to.

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Probability

Probability is the measure of the likelihood that an event will occur.

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Probability theory

Probability theory is the branch of mathematics concerned with probability.

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Random variable

In probability and statistics, a random variable, random quantity, aleatory variable, or stochastic variable is a variable whose possible values are outcomes of a random phenomenon.

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Real number

In mathematics, a real number is a value of a continuous quantity that can represent a distance along a line.

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Real-valued function

In mathematics, a real-valued function is a function whose values are real numbers.

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Sample size determination

Sample size determination is the act of choosing the number of observations or replicates to include in a statistical sample.

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Statistical theory

The theory of statistics provides a basis for the whole range of techniques, in both study design and data analysis, that are used within applications of statistics.

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Yvonne Bishop

Yvonne Millicent Mahala Bishop (died May 26, 2015) was an American statistician.

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0

0 (zero) is both a number and the numerical digit used to represent that number in numerals.

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Redirects here:

Bounded in probability, Op (statistics), Small o in probability notation.

References

[1] https://en.wikipedia.org/wiki/Big_O_in_probability_notation

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