feat(stats): add nanmgmean package

[hans2001]

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Resolves #5576

Description

What is the purpose of this pull request?

This pull request introduces the nanmgmean package—a thin wrapper around mgmean that enhances robustness. It adds type checking so that if a NaN or non-numeric value is provided, the update is skipped and the accumulator continues to return the previously computed mean directional accuracy. Test cases have been updated to verify that these edge cases are correctly handled.

This pull request:

test coverage:

example:

benchmark:

Related Issues

Does this pull request have any related issues?

This pull request:

• resolves [RFC]: add stats/incr/nanmgmean #5576

Questions

Any questions for reviewers of this pull request?

No.

Other

Any other information relevant to this pull request? This may include screenshots, references, and/or implementation notes.

No.

Checklist

Please ensure the following tasks are completed before submitting this pull request.

• Read, understood, and followed the contributing guidelines.

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[stdlib-bot]

Coverage Report

Package	Statements	Branches	Functions	Lines
stats/incr/nanmgmean	$\color{green}143/143$ $\color{green}+100.00\%$	$\color{green}8/8$ $\color{green}+100.00\%$	$\color{green}2/2$ $\color{green}+100.00\%$	$\color{green}143/143$ $\color{green}+100.00\%$

The above coverage report was generated for the changes in this PR.

[hrshya]

Suggested change

	f = incrnanmgmean( (i%5)+1 );
	f = incrnanmgmean( ( i%5 )+1 );

[hrshya]

Suggested change

	* Returns an accumulator function which incrementally computes a moving geometric mean.
	* Returns an accumulator function which incrementally computes a moving geometric mean, ignoring `NaN` value.

[hrshya]

Suggested change

	* var accumulator = incrmgmean( 3 );
	* var accumulator = incrnanmgmean( 3 );

[hrshya]

Suggested change

	declare function incrmgmean( W: number ): accumulator;
	declare function incrnanmgmean( W: number ): accumulator;

[hrshya]

Suggested change

	export = incrmgmean;
	export = incrnanmgmean;

[hrshya]

Remove line from L25-29

[hrshya]

Update incrmgmean to incrnanmgmean in whole file.

[hrshya]

Suggested change

	"description": "Compute a moving geometric mean incrementally.",
	"description": "Compute a moving geometric mean incrementally, ignoring `NaN` value.",

[hans2001]

@hrshya i have updated the corresponding portions based on your comments, Thanks for the reminder!