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時系列解析

AR、ARMA、状態空間モデルなどを含む、線形および非線形のモデルを同定することで時系列データを解析し、値を予測する

関数

arEstimate parameters of AR model for scalar time series
armaxEstimate parameters of ARMAX model using time-domain data
arxEstimate parameters of ARX or AR model using least squares
etfeEstimate empirical transfer functions and periodograms
spaEstimate frequency response with fixed frequency resolution using spectral analysis
spafdrEstimate frequency response and spectrum using spectral analysis with frequency-dependent resolution
ivarAR model estimation using instrumental variable method
n4sidEstimate state-space model using subspace method
ssestEstimate state-space model using time or frequency domain data
pemPrediction error estimate for linear and nonlinear model
nlarxEstimate parameters of nonlinear ARX model
idpolyPolynomial model with identifiable parameters
idssState-space model with identifiable parameters
idnlarxNonlinear ARX model
getpvecModel parameters and associated uncertainty data
setpvecModify value of model parameters
initSet or randomize initial parameter values
noise2measNoise component of model
spectrumOutput power spectrum of time series models
forecastForecast identified model output
simSimulate response of identified model
arOptionsOption set for ar
forecastOptionsOption set for forecast
simOptionsOption set for sim

例および操作のヒント

Estimate Time-Series Power Spectra

How to estimate power spectra for time series data in the app and at the command line.

Estimate AR and ARMA Models

How to estimate polynomial AR and ARMA models for time series data in the app and at the command line.

Estimate ARIMA Models

This example shows how to estimate Autoregressive Integrated Moving Average or ARIMA models.

Estimate State-Space Time Series Models

How to estimate state-space models for time series data in the app and at the command line.

Identify Time-Series Models at the Command Line

This example shows how to simulate a time-series model, compare the spectral estimates, estimate covariance, and predict output of the model.

Analyze Time-Series Models

This example shows how to analyze time-series models.

Spectrum Estimation Using Complex Data - Marple's Test Case

This example shows how to perform spectral estimation on time series data. We use Marple's test case (The complex data in L. Marple: S.L. Marple, Jr, Digital Spectral Analysis with Applications, Prentice-Hall, Englewood Cliffs, NJ 1987.)

Forecast the Output of a Dynamic System

Workflow for forecasting time series data and input-output data using linear and nonlinear models.

Forecast Multivariate Time Series

This example shows how to perform multivariate time series forecasting of data measured from predator and prey populations in a prey crowding scenario. The predator-prey population-change dynamics are modeled using linear and nonlinear time series models. Forecasting performance of these models is compared.

Time Series Prediction and Forecasting for Prognosis

This example shows how to create a time series model and use the model for prediction, forecasting, and state estimation. The measured data is from an induction furnace whose slot size erodes over time. The slot size cannot be measured directly but the furnace current and consumed power are measured. It is known that as the slot size increases, the slot resistance decreases. The ratio of measured current squared to measured power is thus proportional to the slot size. You use the measured current-power ratio (both current and power measurements are noisy) to create a time series model and use the model to estimate the current slot size and forecast the future slot size. Through physical inspection the induction furnace slot size is known at some points in time.

概念

What Are Time Series Models?

Definition of time series models.

Preparing Time-Series Data

Where you can learn more about importing and preparing time series data for modeling.

Introduction to Forecasting of Dynamic System Response

Understand the concept of forecasting data using linear and nonlinear models.

注目の例