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About decomposition time series

   Jul 20, 2024     1 min read

This is an article about decomposed time series.

hello!

Today we will learn about decomposed time series.

Decomposed time series analysis is a method of decomposing time series data into trend, seasonality, cycle, and random factor (Error) and analyzing each component.

We will explain the decomposition time series below.

Purpose of decomposed time series analysis

Understanding the components:

Understand the characteristics and volatility of trends, seasonality, cycles, and random factors that make up time series data.

Building a prediction model

Each component is analyzed to build a predictive model and use it to predict future values.

Understand the characteristics of your data

By identifying the characteristics of data, we understand trends and cycles and analyze changes according to trends.

Types of decomposed time series analysis

Additive Model

A method of decomposing a time series into the sum of trend, seasonality, cycle, and random factors, expressed as Y(t) = T(t) + S(t) + C(t) + E(t).

Multiplicative Model

A method of decomposing a time series into the product of trend, seasonality, cycle, and random factors, expressed as Y(t) = T(t) _ S(t) _ C(t) * E(t).

Steps of decomposition time series analysis

Visualization of time series data

Identify patterns of trends, seasonality, cycles, and random factors in time series data.

Trend estimation

Estimate long-term trends from time series data.

Seasonality estimation

Infer seasonal patterns from time series data.

Cycle estimation

Estimate long-term periodic elements from time series data.

Random factor (Error) analysis

Analyzes fluctuations other than trends, seasonality, and cycles.

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Understand the characteristics of time series data

Understand the structure of data by identifying the characteristics of data trends, seasonality, cycles, and random factors.

Building a prediction model

It is used to analyze each component to predict future values ​​and build a predictive model.

Conclusion

Decomposed time series analysis is an important technique for identifying and predicting patterns and structures of time series data, and is actively used in various fields.

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