In probability theory, random element is a generalization of the concept of random variable to more complicated spaces than the simple real line. The...

term random function is also used to refer to a stochastic or random process, because a stochastic process can also be interpreted as a random element in...

the range of a random variable is a subset of the real numbers. Informally, randomness typically represents some fundamental element of chance, such...

probability theory, a random measure is a measure-valued random element. Random measures are for example used in the theory of random processes, where they...

sampling have two things in common: Every element has a known nonzero probability of being sampled and involves random selection at some point. Nonprobability...

the analogues of multivariate normal vectors for the case k = ∞. A random element h ∈ H is said to be normal if for any constant a ∈ H the scalar product...

people's emotions and bring planet after planet under his control. He is a random element not foreseen by psychohistory, a science developed by Hari Seldon which...

operate on random permutations. Suppose, for example, that we are using quickselect (a cousin of quicksort) to select a random element of a random permutation...

person from within a group would be a random vector. Normally each element of a random vector is a real number. Random vectors are often used as the underlying...

of functions of random variables / (1:R) Bertrand's paradox / (1:M) Pitman–Yor process / (1:G) Random compact set / (1:G) Random element / (1:G) Coupling /...

without modification if X is a discrete random vector or even a discrete random element. The case of a continuous random variable is more subtle, since the...

sequence, and continually determines the next element in the shuffled sequence by randomly drawing an element from the list until no elements remain. The...

element has index 0, and the last element has index n − 1), and for each position i swap the element currently there with a randomly chosen element from...

generating a random permutation of a[0], a[1], ..., a[n − 1] can be described as follows in pseudocode: for i from n downto 2 do di ← random element of { 0...

the element z. Quite similarly, the covariance function of a function-valued random element (in special cases is called random process or random field)...

Mercury is a chemical element; it has symbol Hg and atomic number 80. It is commonly known as quicksilver. A heavy, silvery d-block element, mercury is the...

for randomized data, particularly on larger distributions. Quicksort is a divide-and-conquer algorithm. It works by selecting a "pivot" element from...

distance), which could lead to an overestimate of average income. This non-random element is a source of uncertainty about the nature of the actual sample. Quota...

more and more of the random element in the state of the world, then the arrow is pointing towards the future; if the random element decreases the arrow...

The government decided in 1969 to reduce this bias by introducing a random element into the selection process. A lottery based on birth dates was conducted...

sequences of scalar/vector/matrix random elements. If X n {\displaystyle X_{n}} converges in distribution to a random element X {\displaystyle X} and Y n {\displaystyle...

bogo_sort(random_array): while not is_sorted(random_array): random.shuffle(random_array) return random_array # this function generates an array with randomly chosen...

Random House is an imprint and publishing group of Penguin Random House. Founded in 1927 by businessmen Bennett Cerf and Donald Klopfer as an imprint...

{\displaystyle {\widetilde {Y}}_{k}} , not only has a contribution from a random element but one of the observed quantities, specifically Y k {\displaystyle...

however, quicksort chooses some random element to be the pivot, then an adversary without knowledge of what random numbers are coming up cannot arrange...

proof of the first is more involved. It can be shown that if Y is a random element Ω → S {\displaystyle \Omega \to S} in a Radon space S, there exists...

matrix whose element in the i, j position is the covariance between the i-th element of a random vector and j-th element of another random vector. When...

Penguin Random House Limited is a British-American multinational conglomerate publishing company formed on July 1, 2013, with the merger of Penguin Books...

which element of the game is foremost in its play; a board game using cards for random actions can usually use some other method of randomization, while...

If U is a random element of CUE(n), then UTU is a random element of COE(n); if U is a random element of CUE(2n), then URU is a random element of CSE(n)...