Examples of using Random variable in English and their translations into Arabic
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Colloquial
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Political
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Ecclesiastic
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Ecclesiastic
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Computer
Random variable value from list.
Now this girl, Keri, she's a random variable.
Random variables and probability distributions.
Discrete and continuous random variables, and simple linear regression.".
Kolmogorov Limit Distributions for Sums of Independent Random Variables.
A discrete random variable takes a set of separate values(such as,,…).
Information theory: Entropy is a measure of the uncertainty associated with a random variable.
The expected value of this random variable is n times p, or sometimes people will write p times n.
Or what if it's for some population where it'sjust completely impossible to have the data or some random variable.
So if we say that the random variable, x, is equal to the number of-- we could call it successes.
Joint differential entropy is alsoused in the definition of the mutual information between continuous random variables.
Suppose that we observe a random variable Y i{\displaystyle Y_{i}}, where i ∈ S{\displaystyle i\in S}.
That's millions of data points, or even data points in the future that you willnever be able to get because it's a random variable.
Perplexity of a random variable X may be defined as the perplexity of the distribution over its possible values x.
The ranges in a uniformly distributed(between 0 and 10) random variable RV that result in different first digits in RV exp(RV).
But with a random variable, since the population is infinite, you can't take up all of the terms and then average them out.
So the first candidate distribution for naturally occurring numbers is something like RV exp(RV),where RV is a uniformly distributed random variable(between zero and ten).
More precisely any family of random variables{xt_ t T}[where] a random variable is… simply a measurable function.
The Shannon entropy satisfies the following properties, for some of which it is useful to interpret entropy as the amount of information learned(or uncertainty eliminated)by revealing the value of a random variable X.
The random variables ΔWn are independent and identically distributed normal random variables with expected value zero and variance Δ t{\displaystyle\Delta t}.
Where p( x i, y j){\displaystyle p( x{ i}, y{ j})} is the probability that X = x i{\displaystyle X=x_{i}} and Y = y j{\displaystyle Y=y_{j}}. This quantityshould be understood as the amount of randomness in the random variable X{\displaystyle X} given the random variable Y{\displaystyle Y}.
Given a random variable X{\displaystyle X}, with possible outcomes x i{\displaystyle x_{i}}, each with probability P X( x i){\displaystyle P{ X}( x{ i})}, the entropy H( X){\displaystyle H(X)} of X{\displaystyle X} is as follows.
T1, T2, T3,…} is a sequence of estimators for parameter θ0, the true value of which is 4. This sequence is consistent: the estimators are getting more and more concentrated near the true value θ0; at the same time, these estimators are biased.The limiting distribution of the sequence is a degenerate random variable which equals θ0 with probability 1.
The posterior probability distribution of one random variable given the value of another can be calculated with Bayes' theorem by multiplying the prior probability distribution by the likelihood function, and then dividing by the normalizing constant, as follows.
The entropy is the expected value of the self-information, a related quantity also introduced by Shannon. The self-information quantifies the level of information or surprise associated with one particular outcome or event of a random variable, whereas the entropy quantifies how"informative" or"surprising" the entire random variable is, averaged on all its possible outcomes.
Performs a test of the null hypothesis,that sample is a sample of a normal distributed random variable with mean mean and standard deviation sigma. A return value of 1 indicates, that the null hypothesis is rejected, i. e. the sample is not a random sample of the normal distribution. If sigma is omitted, it is estimated from sample, using STDEV.
When the data source produces a low-probability value(i.e., when a low-probability event occurs), the event carries more"information" than when the data source produces a high-probability value. This notion of"information" is formally represented by Shannon's self-information quantity, and is also sometimes interpreted as"surprisal". The amount of informationconveyed by each individual event then becomes a random variable whose expected value is the information entropy.
In information theory, the conditional entropy(or equivocation)quantifies the amount of information needed to describe the outcome of a random variable Y{\displaystyle Y} given that the value of another random variable X{\displaystyle X} is known. Here, information is measured in shannons, nats, or hartleys. The entropy of Y{\displaystyle Y} conditioned on X{\displaystyle X} is written as H( Y | X){\displaystyle\mathrm{H}(Y|X)}.
In information theory and machine learning, information gain is a synonym for Kullback- Leibler divergence;the amount of information gained about a random variable or signal from observing another random variable. However, in the context of decision trees, the term is sometimes used synonymously with mutual information, which is the conditional expected value of the Kullback- Leibler divergence of the univariate probability distribution of one variable from the conditional distribution of this variable given the other one.