What do you mean by landslide analysis? Single landslides and slope stability assessment? Or regional scale landslide susceptibility? Landslide run-out modelling? Landslide triggering rainfall thresholds?

If it is shallow slope stability then you might try these two:

1. SHALSTAB

http://calm.geo.berkeley.edu/geomorph/shalstab/theory.htm

2. SINMAP

http://hydrology.usu.edu/sinmap2/

Of course it is up to users how they define the best.

Hope it helps.

You can download precipitation data in the link below:

https://pmm.nasa.gov/data-access/downloads/trmm

http://worldclim.org/version2, http://www.worldclim.org/

https://www.samsamwater.com/tools.php

These precipitation data might be helpful as well.