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A real time series is a sequence of data points which is made over a time interval (continuous), out of successive measurements across the given interval. It uses equal spacing between every two consecutive measurements, and with each time unit existing within the time interval having at most one data point. There are various examples of time series are counts of sunspots, ocean tides and daily closing value of Dow Jones Industrial Average.
There are various non –examples such as in the height measurements of a finite group of people, where as each height is measured over a period of time and the data set contains one record of each person at a time. The panel data is a multidimensional data set, a general class. But the Real time series data is a one dimensional panel which is similar to cross sectional dataset. Yet the characteristics exhibited by data set is of both time series data and panel data. One way that exists to tell is to ask why a record is so unique as compared to other records. If we determine that a unique record needs an additional identifier as well as time data field that is unrelated to time (stock symbol, student ID or country code), then it is considered as a panel data candidate.
The major courses included in Real time series analysis is Stochastic process and its main characteristics, Autoregressive-moving average models ARMA (p,q), Coefficient estimation in ARMA (p,q) processes. Box-Jenkins’ approach, Forecasting in the framework of Box-Jenkins model¸ Non-stationary time series, The unit root problem, Vector autoregression model and co-integration etc.
- Autocorrelations, time-domain model fitting including autoregressive and moving average processes, spectral methods, and some discussion of the effect of time, series correlations on other kinds of statistical inference
- such as the estimation of means and regression coefficients., Models for time series , Models of stationary processes
- Spectral methods, Estimation of the spectrum, Linear filters, Estimation of trend and seasonality, Fitting ARIMA models, State space models