[SEDONA-738] Add moran i autocorrelation.

[Imbruced]

Did you read the Contributor Guide?

• Yes

Is this PR related to a ticket?

SEDONA-738

What changes were proposed in this PR?

MoranI index

How was this patch tested?

Unit tests

Did this PR include necessary documentation updates?

Yes

[Imbruced]

I need to add docs

[Imbruced]

and update the description of the MR

[james-willis]

Thanks for this Pawel.

I think we need an ST Function for this. Currently it is asymmetric with the other stats functions in this regard.

I also believe that we should deprecate these function call interfaces for geostats functions and tell users to use the ST functions instead. If we go this direction I would advise against making python and public scala functions for morans I (other than ST functions for the df interfaces of course)

[jiayuasu]

@james-willis Is your SQL function framework able to support Pawel's Moran'I case as well? Maybe you can point him to the right place for this?

[james-willis]

Sure. We should be able to wrap the function in this PR with an implementation of a PhysicalFunction.

Here are the existing ones.

Here is the PR that added SQL support to geostats

[jiayuasu]

@Imbruced I will merge this for now but the doc needs significant improvement. I believe we need some comprehensive end-to-end examples of each Stat function

[james-willis]

Filed a ticket for ST function: https://github.com/apache/sedona/issues/2115