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...

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

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

example, it is an algorithmically random sequence and thus its binary digits are evenly distributed (in fact it is normal). Algorithmic information theory...

enumerated. A real number is random if the binary sequence representing the real number is an algorithmically random sequence. Calude, Hertling, Khoussainov...

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...

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

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 that cannot be reasonably...

next element in the shuffled sequence by randomly drawing an element from the list until no elements remain. The algorithm produces an unbiased permutation:...

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

will produce the same sequence of numbers. For a seed to be used in a pseudorandom number generator, it does not need to be random. Because of the nature...

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...

randomness for infinite sequences from a finite alphabet. These algorithmically random sequences can be defined in three equivalent ways. One way uses an effective...

optimization algorithm Odds algorithm (Bruss algorithm): Finds the optimal strategy to predict a last specific event in a random sequence event Random Search...

In mathematics and computer science, an algorithm (/ˈælɡərɪðəm/ ) is a finite sequence of mathematically rigorous instructions, typically used to solve...

approach to the definition of an algorithmically random sequence which is alternative to the concept of Martin-Löf randomness. Schnorr was a professor of mathematics...

training set.: 587–588  The first algorithm for random decision forests was created in 1995 by Tin Kam Ho using the random subspace method, which, in Ho's...

Reservoir sampling is a family of randomized algorithms for choosing a simple random sample, without replacement, of k items from a population of unknown...

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

some algorithms are designed for sequential access, the highest-performing algorithms assume data is stored in a data structure which allows random access...

The Logic of Scientific Discovery (1934), calling them "shortest random-like sequences". Taking A = {0, 1}, there are two distinct B(2, 3): 00010111 and...

A maze-solving algorithm is an automated method for solving a maze. The random mouse, wall follower, Pledge, and Trémaux's algorithms are designed to be...

passing through the same sequence of states. Deterministic algorithms are by far the most studied and familiar kind of algorithm, as well as one of the...

invariant to the model of computation being used. An algorithmically random sequence is an infinite sequence of characters, all of whose prefixes (except possibly...

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...

in games of chance and in randomized algorithms in coding theory, cryptography, and simulation. A good example of a random permutation is the fair shuffling...

physics, the Metropolis–Hastings algorithm is a Markov chain Monte Carlo (MCMC) method for obtaining a sequence of random samples from a probability distribution...

the deterministic algorithm on their own to precompute the most disastrous sequence. Consider the following simple randomized algorithm : BIT For every...