The ARIMA Model Simulator is an advanced interactive tool designed to help users simulate and forecast time series data using the ARIMA (AutoRegressive Integrated Moving Average) model. ARIMA is a widely used statistical method for time series forecasting, particularly for datasets with trends and seasonality. This tool allows users to input their time series data, specify ARIMA parameters ($p$, $d$, $q$), and generate forecasts.

Key Features:

1. Dynamic Input : Users can input their time series data as a comma-separated list and specify the ARIMA parameters ($p$, $d$, $q$).
2. Interactive Visualization : The tool generates line charts displaying the original data alongside the ARIMA forecast.
3. Customizable Forecast Horizon : Users can specify the number of future periods to forecast.
4. PDF Download : Export the generated ARIMA results and visualizations as a PDF for sharing or reporting purposes.
5. Modern Design : Clean and stylish layout with vibrant colors and clear typography for better readability.
6. Self-Contained : The tool operates within its own container, ensuring it doesn’t interfere with the page header or footer.

Use Cases:

• Forecasting : Businesses and analysts can use this tool to predict future values based on historical data.
• Trend Analysis : Researchers can analyze trends and make informed decisions about future outcomes.
• Reporting : Professionals can export ARIMA forecasts to include in reports or presentations.

How It Works:

1. Introduction : ARIMA models combine three components:
   • AutoRegressive (AR) : Uses past values of the time series to predict future values.
   • Integrated (I) : Differencing to make the time series stationary.
   • Moving Average (MA) : Uses past forecast errors to improve predictions.
2. Input Fields : Users enter their time series data as a comma-separated list and specify the ARIMA parameters ($p$, $d$, $q$) and forecast horizon.
3. Visualization : The tool generates a line chart displaying the original data and the ARIMA forecast.
4. Export : Users can download the ARIMA results and visualizations as a PDF for further use.