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I have two data sets one is cross sectional census data with 10 years interval and another one is time series data (monthly) for several years. Now I want to perform statistical time series analysis on this both dataset in a single model. Is it possible?

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It really depends on the outcome you want from your analysis.

The most straightforward approaches might be resampling:

  • Interpolate the 10-year census data to month granularity. The interpolation might be linear, polynomial, etc. This effectively imposes a strong assumption in the dynamics of the data. This may make sense for some variables but not for others. And you are probably introducing a lot of variance in the obtained conclusions.

  • Aggregate the monthly time series into 10-year granularity. This may not be very useful if you want to predict something with an horizon less than 10 years...

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