concept of a random sequence is essential in probability theory and statistics. The concept generally relies on the notion of a sequence of random variables...

values of a low-discrepancy sequence are neither random nor pseudorandom, but such sequences share some properties of random variables and in certain applications...

In mathematics, the random Fibonacci sequence is a stochastic analogue of the Fibonacci sequence defined by the recurrence relation f n = f n − 1 ± f n...

random bit generator (DRBG), is an algorithm for generating a sequence of numbers whose properties approximate the properties of sequences of random numbers...

Intuitively, an algorithmically random sequence (or random sequence) is a sequence of binary digits that appears random to any algorithm running on a (prefix-free...

A pseudorandom sequence of numbers is one that appears to be statistically random, despite having been produced by a completely deterministic and repeatable...

Random number generation is a process by which, often by means of a random number generator (RNG), a sequence of numbers or symbols is generated that...

In common usage, randomness is the apparent or actual lack of definite pattern or predictability in information. A random sequence of events, symbols...

difficult to predict and exhibits statistical behavior similar to a truly random sequence. PRBS generators are used in telecommunication, such as in analog-to-information...

Algorithmically random sequence Quasi-random sequence Random number generation Random sequence Random variable Random variate Random real Richard Durstenfeld...

theory, there exist several different notions of convergence of sequences of random variables, including convergence in probability, convergence in distribution...

A random permutation is a sequence where any order of its items is equally likely at random, that is, it is a permutation-valued random variable of a...

A numeric sequence is said to be statistically random when it contains no recognizable patterns or regularities; sequences such as the results of an ideal...

Constant-recursive sequence Geometric progression Harmonic progression Holonomic sequence Regular sequence Pseudorandom binary sequence Random sequence Related concepts...

for statistical randomness. Although it seems to lack any definite pattern, pseudorandom noise consists of a deterministic sequence of pulses that will...

NIST Statistical Test Suite Randomness Statistical randomness Algorithmically random sequence Seven states of randomness Wald–Wolfowitz runs test Wolfram...

random sequences or random functions. Sometimes a random variable is taken to be automatically valued in the real numbers, with more general random quantities...

explanation for the origin of eukaryotic introns. It suggests that random primordial DNA sequences would only permit short (< 600bp) open reading frames (ORFs)...

is, appear to be random for many purposes. They were first introduced in 1960 and are an example of a quasi-random number sequence. They generalize the...

monkey, but a metaphor for an abstract device that produces an endless random sequence of letters and symbols. Variants of the theorem include multiple and...

used as a basis for deriving pseudo-random sequences in digital communication systems that employ direct-sequence spread spectrum and frequency-hopping...

function can produce a sequence of bits that appears random and has a very long cycle. Applications of LFSRs include generating pseudo-random numbers, pseudo-noise...

deals with random samples. A random sample can be thought of as a set of objects that are chosen randomly. More formally, it is "a sequence of independent...

probability of failure is less than 1/100. Random input sequence generation (i.e. a sequence of method calls) Random sequence of data inputs (sometimes called stochastic...

some other problems using low-discrepancy sequences (also called quasi-random sequences or sub-random sequences) to achieve variance reduction. This is...

pass statistical randomness tests: Every CSPRNG should satisfy the next-bit test. That is, given the first k bits of a random sequence, there is no polynomial-time...

some subset of them, then the stochastic process can also be called a random sequence. If the state space is the integers or natural numbers, then the stochastic...

challenges players to create funny acronyms (known as noodles) from a random sequence of letters. For example, if players received the letters E.U.M.G.,...

hardware random number generator (HRNG), true random number generator (TRNG), non-deterministic random bit generator (NRBG), or physical random number generator...

process (named after Jacob Bernoulli) is a finite or infinite sequence of binary random variables, so it is a discrete-time stochastic process that takes...