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Odds algorithm information


In decision theory, the odds algorithm (or Bruss algorithm) is a mathematical method for computing optimal strategies for a class of problems that belong to the domain of optimal stopping problems. Their solution follows from the odds strategy, and the importance of the odds strategy lies in its optimality, as explained below.

The odds algorithm applies to a class of problems called last-success problems. Formally, the objective in these problems is to maximize the probability of identifying in a sequence of sequentially observed independent events the last event satisfying a specific criterion (a "specific event"). This identification must be done at the time of observation. No revisiting of preceding observations is permitted. Usually, a specific event is defined by the decision maker as an event that is of true interest in the view of "stopping" to take a well-defined action. Such problems are encountered in several situations.

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Odds algorithm

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In decision theory, the odds algorithm (or Bruss algorithm) is a mathematical method for computing optimal strategies for a class of problems that belong...

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Odds

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by the odds algorithm. The odds are a ratio of probabilities; an odds ratio is a ratio of odds, that is, a ratio of ratios of probabilities. Odds-ratios...

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Hybrid Algorithms Alpha–beta pruning: search to reduce number of nodes in minimax algorithm Branch and bound Bruss algorithm: see odds algorithm Chain...

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Online algorithm

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Some online algorithms: Insertion sort Perceptron Reservoir sampling Greedy algorithm Adversary model Metrical task systems Odds algorithm Page replacement...

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Secretary problem

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immediately. The shortest rigorous proof known so far is provided by the odds algorithm. It implies that the optimal win probability is always at least 1 /...

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physician judgment. Artificial intelligence in healthcare Medical guideline Odds algorithm Johnson, Kathy A.; Svirbely, John R.; Sriram, M.G.; Smith, Jack W.;...

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Optimal stopping

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modifications of this problem is provided by the more recent odds algorithm of optimal stopping (Bruss algorithm). Economists have studied a number of optimal stopping...

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Linear programming

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(LFP) LP-type problem Mathematical programming Nonlinear programming Odds algorithm used to solve optimal stopping problems Oriented matroid Quadratic programming...

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Markov decision process

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used in motion planning scenarios in robotics. Probabilistic automata Odds algorithm Quantum finite automata Partially observable Markov decision process...

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Decision tree

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Ordinal priority approach – Multiple-criteria decision analysis method Odds algorithm – Method of computing optimal strategies for last-success problems Topological...

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the actions of other players. Concept Driven Strategy Consultant Odds algorithm (Odds strategy) Sports strategy Strategy game Strategic management Strategy...

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genetic algorithm (GA) is a metaheuristic inspired by the process of natural selection that belongs to the larger class of evolutionary algorithms (EA)....

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Franz Thomas Bruss

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He published 64 research papers concerning: 1/e-law of best choice Odds algorithm of optimal stopping Galton–Watson processes Resource Dependent Branching...

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Clinical trial

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instance, for questions of when to stop sequential treatments (see Odds algorithm), and then quantified methods may play an important role. Additional...

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Logit

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the Richards family models. The log-odds function of probabilities is often used in state estimation algorithms because of its numerical advantages in...

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Stopping time

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depends on the method used. See Sequential analysis. Optimal stopping Odds algorithm Secretary problem Hitting time Stopped process Disorder problem Début...

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Predictive analytics

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History Decision management Disease surveillance Learning analytics Odds algorithm Pattern recognition Predictive inference Predictive policing Social...

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time to take a particular action Odds algorithm Robbins' problem Global optimization: BRST algorithm MCS algorithm Multi-objective optimization — there...

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In mathematics, the sieve of Eratosthenes is an ancient algorithm for finding all prime numbers up to any given limit. It does so by iteratively marking...

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Observational study Observed information Occupancy frequency distribution Odds Odds algorithm Odds ratio Official statistics Ogden tables Ogive (statistics) Omitted-variable...

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The Data Encryption Standard (DES /ˌdiːˌiːˈɛs, dɛz/) is a symmetric-key algorithm for the encryption of digital data. Although its short key length of 56...

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game theory Effective hand strength algorithm Event (probability theory) Game complexity Gaming mathematics Odds Permutation Probability Sample space...

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Preply

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35,000 tutors teach over 50 languages, powered by a machine-learning algorithm that recommends the best tutors for each learner. It was founded in the...

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Logistic regression

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logistic model (or logit model) is a statistical model that models the log-odds of an event as a linear combination of one or more independent variables...

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Sieve of Sundaram

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between these two algorithms is that the Sieve of Sundaram culls composite numbers using all odd numbers as the base values, whereas the Odds-Only Sieve of...

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Algorithmically random sequence

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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...

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