linear autocorrelation - traducción al ruso
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linear autocorrelation - traducción al ruso

IMAGE OF CORRELATION STATISTICS
Autocorrelation plot; Lag plot
  • Correlogram example from 400-point sample of a first-order autoregressive process with 0.75 correlation of adjacent points, along with the 95% [[confidence interval]]s (plotted about the correlation estimates in black and about zero in red), as calculated by the equations in this section.  The dashed blue line shows the actual autocorrelation function of the sampled process.
  • 20 correlograms from 400-point samples of the same random process as in the previous figure.

linear autocorrelation      

математика

линейная автокорреляция

autocorrelation         
  • Above: A plot of a series of 100 random numbers concealing a [[sine]] function. Below: The sine function revealed in a [[correlogram]] produced by autocorrelation.
  • f}} is the reason <math>g*f</math> and <math>f \star g</math> are identical in this example.
<!--Note that g∗f and f∗g would be identical even without the symmetry of f, so please don't change the statement above.-->
CORRELATION OF A SIGNAL WITH A TIME-SHIFTED COPY OF ITSELF, AS A FUNCTION OF SHIFT
Serial covariance; Autocorrelation function; Auto-correlation; Autocorrelated; Auto correlation; Auto Correlation; Autocorrelation matrix; Serial dependence; AutoCorrelation; Serial correlation; Self-correlation; Auto-correlation of stochastic processes; Applications of autocorrelation; List of applications of autocorrelation
стат.
Автокорреляция
autocorrelation         
  • Above: A plot of a series of 100 random numbers concealing a [[sine]] function. Below: The sine function revealed in a [[correlogram]] produced by autocorrelation.
  • f}} is the reason <math>g*f</math> and <math>f \star g</math> are identical in this example.
<!--Note that g∗f and f∗g would be identical even without the symmetry of f, so please don't change the statement above.-->
CORRELATION OF A SIGNAL WITH A TIME-SHIFTED COPY OF ITSELF, AS A FUNCTION OF SHIFT
Serial covariance; Autocorrelation function; Auto-correlation; Autocorrelated; Auto correlation; Auto Correlation; Autocorrelation matrix; Serial dependence; AutoCorrelation; Serial correlation; Self-correlation; Auto-correlation of stochastic processes; Applications of autocorrelation; List of applications of autocorrelation

[ɔ:tə(u)kɔri'leiʃ(ə)n]

общая лексика

автокорреляция

сериальная корреляция

существительное

математика

автокорреляция

Definición

linear map
<mathematics> (Or "linear transformation") A function from a vector space to a vector space which respects the additive and multiplicative structures of the two: that is, for any two vectors, u, v, in the source vector space and any scalar, k, in the field over which it is a vector space, a linear map f satisfies f(u+kv) = f(u) + kf(v). (1996-09-30)

Wikipedia

Correlogram

In the analysis of data, a correlogram is a chart of correlation statistics. For example, in time series analysis, a plot of the sample autocorrelations r h {\displaystyle r_{h}\,} versus h {\displaystyle h\,} (the time lags) is an autocorrelogram. If cross-correlation is plotted, the result is called a cross-correlogram.

The correlogram is a commonly used tool for checking randomness in a data set. If random, autocorrelations should be near zero for any and all time-lag separations. If non-random, then one or more of the autocorrelations will be significantly non-zero.

In addition, correlograms are used in the model identification stage for Box–Jenkins autoregressive moving average time series models. Autocorrelations should be near-zero for randomness; if the analyst does not check for randomness, then the validity of many of the statistical conclusions becomes suspect. The correlogram is an excellent way of checking for such randomness.

In multivariate analysis, correlation matrices shown as color-mapped images may also be called "correlograms" or "corrgrams".

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