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I am wondering if is there a way that we can mathematically or statistically identify seasonality in time series without the need to look at its plot?

statsnewbie
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    What type of seasonality are you interested in detecting? See https://stats.stackexchange.com/questions/346497/time-series-seasonality-test for a nice breakdown of different types of seasonality. – Isabella Ghement Dec 15 '18 at 19:36
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    See this post by Rob Hyndman for a possible answer to your question: https://robjhyndman.com/hyndsight/detecting-seasonality/. – Isabella Ghement Dec 15 '18 at 19:38
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    Try searching unobserved components model/state space models, it has features to check/detect seasonalities – forecaster Dec 16 '18 at 00:31

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