Definitions for random variable
ran·dom vari·able

Princeton's WordNetRate this definition:0.0 / 0 votes

1. random variable, variate, variant, stochastic variable, chance variablenoun

   a variable quantity that is random

WiktionaryRate this definition:0.0 / 0 votes

1. random variablenoun

   A quantity whose value is random and to which a probability distribution is assigned, such as the possible outcome of a roll of a dice.

2. random variablenoun

   A measurable function from a sample space to the measurable space of possible values of the variable.

WikipediaRate this definition:0.0 / 0 votes

1. Random variable

   A random variable (also called random quantity, aleatory variable, or stochastic variable) is a mathematical formalization of a quantity or object which depends on random events. It is a mapping or a function from possible outcomes (e.g., the possible upper sides of a flipped coin such as heads H {\displaystyle H} and tails T {\displaystyle T} ) in a sample space (e.g., the set { H , T } {\displaystyle \{H,T\}} ) to a measurable space (e.g., { − 1 , 1 } {\displaystyle \{-1,1\}} in which 1 corresponding to H {\displaystyle H} and -1 corresponding to T {\displaystyle T} ), often to the real numbers. Informally, randomness typically represents some fundamental element of chance, such as in the roll of a die; it may also represent uncertainty, such as measurement error. However, the interpretation of probability is philosophically complicated, and even in specific cases is not always straightforward. The purely mathematical analysis of random variables is independent of such interpretational difficulties, and can be based upon a rigorous axiomatic setup. In the formal mathematical language of measure theory, a random variable is defined as a measurable function from a probability measure space (called the sample space) to a measurable space. This allows consideration of the pushforward measure, which is called the distribution of the random variable; the distribution is thus a probability measure on the set of all possible values of the random variable. It is possible for two random variables to have identical distributions but to differ in significant ways; for instance, they may be independent. It is common to consider the special cases of discrete random variables and absolutely continuous random variables, corresponding to whether a random variable is valued in a discrete set (such as a finite set) or in an interval of real numbers. There are other important possibilities, especially in the theory of stochastic processes, wherein it is natural to consider random sequences or random functions. Sometimes a random variable is taken to be automatically valued in the real numbers, with more general random quantities instead being called random elements. According to George Mackey, Pafnuty Chebyshev was the first person "to think systematically in terms of random variables".

ChatGPTRate this definition:0.0 / 0 votes

1. random variable

   A random variable is a variable whose possible values are outcomes of a random phenomenon or experiment. It is often used in statistics and probability theory and can be classified either as discrete or continuous. A discrete random variable has a countable number of possible values whereas a continuous random variable has an infinite number of possible values.

WikidataRate this definition:0.0 / 0 votes

1. Random variable

   In probability and statistics, a random variable or stochastic variable is a variable whose value is subject to variations due to chance. As opposed to other mathematical variables, a random variable conceptually does not have a single, fixed value; rather, it can take on a set of possible different values, each with an associated probability. A random variable's possible values might represent the possible outcomes of a yet-to-be-performed experiment, or the possible outcomes of a past experiment whose already-existing value is uncertain. They may also conceptually represent either the results of an "objectively" random process, or the "subjective" randomness that results from incomplete knowledge of a quantity. The meaning of the probabilities assigned to the potential values of a random variable is not part of probability theory itself, but instead related to philosophical arguments over the interpretation of probability. The mathematics works the same regardless of the particular interpretation in use. Random variables can be classified as either discrete or as continuous. The mathematical function describing the possible values of a random variable and their associated probabilities is known as a probability distribution. The realizations of a random variable, that is, the results of randomly choosing values according to the variable's probability distribution, are called random variates.

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1. • Variable

How to pronounce random variable?

1. Alex

   US English

   David

   US English

   Mark

   US English

   Daniel

   British

   Libby

   British

   Mia

   British

   Karen

   Australian

   Hayley

   Australian

   Natasha

   Australian

   Veena

   Indian

   Priya

   Indian

   Neerja

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   Zira

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   Oliver

   British

   Wendy

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   Fred

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   Tessa

   South African

How to say random variable in sign language?

Numerology

1. Chaldean Numerology

   The numerical value of random variable in Chaldean Numerology is: 8

2. Pythagorean Numerology

   The numerical value of random variable in Pythagorean Numerology is: 9

References

1. ^ Princeton's WordNet
   http://wordnetweb.princeton.edu/perl/webwn?s=random variable
2. ^ Wiktionary
   https://en.wiktionary.org/wiki/Random_Variable
3. ^ Wikipedia
   https://en.wikipedia.org/wiki/Random_Variable
4. ^ ChatGPT
   https://chat.openai.com
5. ^ Wikidata
   https://www.wikidata.org/w/index.php?search=random variable