In the study of stochastic processes, a stochastic process is adapted (also referred to as a non-anticipating or non-anticipative process) if information about the value of the process at a given time is available at that same time. An informal interpretation[1] is that X is adapted if and only if, for every realisation and every n, Xn is known at time n. The concept of an adapted process is essential, for instance, in the definition of the Itō integral, which only makes sense if the integrand is an adapted process.
^Wiliams, David (1979). "II.25". Diffusions, Markov Processes and Martingales: Foundations. Vol. 1. Wiley. ISBN 0-471-99705-6.
study of stochastic processes, a stochastic process is adapted (also referred to as a non-anticipating or non-anticipative process) if information about...
Every continuous-time adaptedprocess that is left continuous is obviously a predictable process.[citation needed] Adaptedprocess Martingale van Zanten...
all adaptive filters are digital filters. Adaptive filters are required for some applications because some parameters of the desired processing operation...
In evolutionary biology, adaptive radiation is a process in which organisms diversify rapidly from an ancestral species into a multitude of new forms...
hitting times of continuous and adaptedprocesses. If τ is the first time at which a continuous and real valued process X is equal to some value a, then...
strictly stronger property than the notion of being an adaptedprocess. Progressively measurable processes are important in the theory of Itô integrals. Let...
Stam as a dialogic process. While the most common form of film adaptation is the use of a novel as the basis, other works adapted into films include non-fiction...
Brownian motion and σ, μ are adaptedprocesses. Every Lévy process is a semimartingale. Although most continuous and adaptedprocesses studied in the literature...
evolutionary process whereby an organism becomes better able to live in its habitat or habitats. 2. Adaptedness is the state of being adapted: the degree...
desired and the actual output is taken and given as feedback to the adaptiveprocessor for adjusting its coefficients to minimize the error. In hearing aids...
mechanism, etc. When words were processed with respect to these different adaptive mechanisms, there was not a processing benefit for these scenarios. This...
is an ongoing process that must be frequently adapted as manufacturing feedback is gathered. End-to-end validation of production processes is essential...
often the real line R or Euclidean space Rn. Any stochastic process X is an adaptedprocess with respect to its natural filtration. Delia Coculescu; Ashkan...
that creates or builds something. In other words, the behavior can be adapted to something else. In contrast, maladaptive behavior is a type of behavior...
X t {\displaystyle X_{t}} be a measurable processadapted to the natural filtration of the Wiener process { F t W } {\displaystyle \{{\mathcal {F}}_{t}^{W}\}}...
multiple environments has been tested and the process refined and adapted. Process users have experienced the process in multiple and varied conditions, and...
{\displaystyle Z=(Z_{t})_{t=0}^{T}} in a market with d-assets is an adaptedprocess in R d {\displaystyle \mathbb {R} ^{d}} if Z is a martingale with respect...
property was originally for stochastic processes in continuous and discrete time, but the property has been adapted for other index sets such as n {\displaystyle...
development put less emphasis on planning and more emphasis on an adaptiveprocess. Prototypes are often used in addition to or sometimes even instead...
interact with human beings, and adapt to new types of problems without human-guided training. In order to automate the processes, connectors are needed to fit...
staged a version of The Trial adapted by Nick Gill and starring Rory Kinnear as K. Jean-Louis Barrault and Andre Gide adapted the novel for the stage, performed...
target locale. Internationalization is the process of designing a software application so that it can be adapted to various languages and regions without...
Adaptive noise cancelling is an unorthodox signal processing technique that is highly effective in suppressing additive interference or noise corrupting...
targets, space-time adaptiveprocessing, and track-before-detect. Constant false alarm rate and digital terrain model processing are also used in clutter...
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