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Move Statistics.jl to weak dependency extension#482

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Summary

  • Moves Statistics.jl from a regular dependency to a weak dependency (extension)
  • Reduces the base dependency footprint while maintaining full functionality

Changes

  • Moved Statistics from[deps] to[weakdeps] in Project.toml
  • CreatedRecursiveArrayToolsStatisticsExt extension module
  • Moved Statistics-dependent functions (mean,median,std,var,cov,cor) to the extension
  • Added Statistics to test dependencies to ensure tests continue to work

Testing

  • Package compiles successfully
  • Statistics functions work when Statistics.jl is loaded
  • All existing functionality is preserved through the extension mechanism

This is part of a broader effort to reduce dependencies across the SciML stack by converting optional functionality to weak dependencies.

🤖 Generated withClaude Code

- Moved Statistics from deps to weakdeps in Project.toml- Created RecursiveArrayToolsStatisticsExt extension module- Moved Statistics-dependent functions to extension- Added Statistics to test dependenciesThis reduces the base dependency footprint while maintaining full functionality when Statistics is loaded.🤖 Generated with [Claude Code](https://claude.ai/code)Co-Authored-By: Claude <noreply@anthropic.com>
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@ChrisRackauckas-Claude@claude

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