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* https://ofdollarsanddata.com/dollar-cost-averaging-vs-lump-s...

* https://ofdollarsanddata.com/the-cost-of-waiting/

Author has a repo where he often shares the data/code used in generating analysis:

* https://github.com/nmaggiulli/of-dollars-and-data

Ben Felix's channel ia a great place to find empirically based investing advice. All of his videos cite the papers where the information he spouts can be sourced. About lump sum investing, you can check this video:

https://m.youtube.com/watch?v=X1qzuPRvsM0

TLDW: just invest it all, right now, in value small caps.

“Value small caps” is the consensus among Ben Felix viewers, but not really outside of that group as far as I know. He’s very convincing but I’m not sure I’d recommend everyone does that, compared with buy and hold S&P 500 or total market index.

You received one good set of links, but I'm pretty sure I first read of it from a Meb Faber study that I'm not in a position to look up right now. He has done a lot of work on simplifying and making investable decent and straight forward strategies for long term investment.