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stochastic    
a. 随机的

随机的

stochastic
随机

stochastic
随机

stochastic
adj 1: being or having a random variable; "a stochastic
variable"; "stochastic processes"

Stochastic \Sto*chas"tic\ (st[-o]*k[a^]s"t[i^]k), a. [Gr.
stochastiko`s, from stocha`zesqai to aim, to guess, fr.
sto`chos mark or aim.]
1. Conjectural; able to conjecture. [Obs.] --Whitefoot.
[1913 Webster]

2. random; chance; involving probability; opposite of
{deterministic}.
[GG]

3. (Statistics) of or pertaining to a process in which a
series of calculations, selections, or observations are
made, each one being randomly determined as a sample from
a probability distribution.

Note: Where physical phenomena are modelled as a stochastic
process, each subsequent calculation of a series may
depend on the result of the previous calculation, as in
the modelling of the process of diffusion of molecules.
Many series may be calculated, and the results
averaged, to estimate the most likely result. See also
{Markov chain}.
[PJC] -- {sto*chas"tic*al*ly}, adv.
[PJC]

63 Moby Thesaurus words for "stochastic":
aimless, aleatoric, aleatory, amorphous, blobby, blurred, blurry,
broad, casual, causeless, chance, chancy, chaotic, confused,
designless, disordered, driftless, dysteleological, foggy, fuzzy,
general, haphazard, hazy, hit-or-miss, ill-defined, imprecise,
inaccurate, inchoate, incoherent, indecisive, indefinable,
indefinite, indeterminable, indeterminate, indiscriminate,
indistinct, inexact, inexplicable, lax, loose, mindless,
nonspecific, obscure, orderless, promiscuous, purposeless, random,
shadowed forth, shadowy, shapeless, stray, sweeping, unaccountable,
unclear, undefined, undestined, undetermined, undirected,
unmotivated, unplain, unspecified, vague, veiled


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  • 「Stochastic」与「Random」有何区别？ - 知乎
    With stochastic process, the likelihood or probability of any particular outcome can be specified and not all outcomes are equally likely of occurring For example, an ornithologist may assign a greater probability that a bird will select a nesting location based on how far it is from the edge of the refuge or whether the location is shielded
  • In laymans terms: What is a stochastic process?
    A stochastic process is a way of representing the evolution of some situation that can be characterized mathematically (by numbers, points in a graph, etc ) over time
  • Whats the difference between stochastic and random?
    Similarly "stochastic process" and "random process", but the former is seen more often Some mathematicians seem to use "random" when they mean uniformly distributed, but probabilists and statisticians don't
  • Books recommendations on stochastic analysis - Mathematics Stack Exchange
    Stochastic Calculus for Finance I: Binomial asset pricing model and Stochastic Calculus for Finance II: tochastic Calculus for Finance II: Continuous-Time Models These two books are very good if you want to apply the theory to price derivatives Stochastic Differential Equations: An Introduction with Applications Bernt Oksanda
  • Difference between time series and stochastic process?
    Stochastic processes are often used in modeling time series data- we assume that the time series we have was produced by a stochastic process, find the parameters of a stochastic process that would be likely to produce that time series, and then use that stochastic process as a model in predicting future values of the time series
  • Stochastic processes - Why do we need filtration?
    In the theory of stochastic process, besides the $\sigma$ -algebra $\mathcal {F}$, we have an increasing sequence of $\sigma$ -algebras $\ { {\mathcal {F}}_ { {t}}\}_ { {t\geq 0}} $ called filtration According to Wikipedia, a filtration is often used to represent the change in the set of events that can be measured, through gain or loss of information What is confusing me is that the
  • Where to begin in approaching Stochastic Calculus?
    18 I have experience in Abstract algebra (up to Galois theory), Real Analysis (baby Rudin except for the measure integral) and probability theory up to Brownian motion (non-rigorous treatment) Is there a suggested direction I can take in order to begin studying stochastic calculus and stochastic differential equations?
  • Difference between statistics and stochastic? [closed]
    Can somebody explain me the difference between statistics and stochastic? I know that stochastic calculates probabilities but isn't statistics the same?
  • What is stochastic mapping? - Mathematics Stack Exchange
    What is stochastic mapping? Ask Question Asked 8 years, 1 month ago Modified 3 years, 9 months ago
  • Fubinis theorem in Stochastic Integral - Mathematics Stack Exchange
    The Stochastic Fubini Theorem allows to exchange $dw_u$ and $dt\, $ The integral bounds after change follow (as I said from) the region of integration $s<u<t<T$ just like in ordinary calculus





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