बेतरतीब-चर इसके अंग्रेजी अर्थ का उदाहरण

Marquee players (A-League) In probability theory, Kolmogorov's inequality is a so-called "maximal inequality" that gives a bound on the probability that the partial sums of a finite collection of independent random variables exceed some specified bound.

, Xn"nbsp;:"nbsp;Ω"nbsp;→"nbsp;R be independent random variables defined on a common probability space (Ω,"nbsp;F,"nbsp;Pr), with expected value E[Xk]"nbsp;"nbsp;0 and variance Var[Xk]"nbsp;"lt;"nbsp;+∞ for k"nbsp;"nbsp;1, .

A sequence of distributions corresponds to a sequence of random variables Zi for i 1, 2, .

A special case of an asymptotic distribution is when the sequence of random variables is always zero or Zi 0 as i approaches infinity.

However, the most usual sense in which the term asymptotic distribution is used arises where the random variables Zi are modified by two sequences of non-random values.

If an asymptotic distribution exists, it is not necessarily true that any one outcome of the sequence of random variables is a convergent sequence of numbers.

random variables with E[Xi] µ and Var[Xi] σ2 n be the average of {X1, .

Then as n approaches infinity, the random variables (Sn − µ) converge in distribution to a normal N(0, σ2):.

If instead it is assumed that the rounding errors are independent random variables, then the expected total rounding error is proportional to \varepsilon / \sqrt{h} .

Technical note: For the reasons discussed in the article differential entropy, the simple definition of Shannon entropy ceases to be directly applicable for random variables with continuous probability distribution functions.

The canonical ensemble gives the probability of the system X being in state x (equivalently, of the random variable X having value x) as.

If X is a random variable from a normal distribution with mean μ and standard deviation σ, its Z-score may be calculated from X by subtracting μ and dividing by the standard deviation:.