I do not believe an API exists – unfortunately.
What a number of users have done – and what is suggested by cricinfo themselves – is use Yahoo Pipes to merge a number of different feeds. You can then get the resultant pipe in JSON and other formats.
It’s probably best demonstrated by example by looking at a ‘Latest cricket scores’ pipe here: http://pipes.yahoo.com/pipes/pipe.info?_id=tMcVGcqn3BGvsT__2R2EvQ
Of course, it would be nice to be able to search the statistics and a REST service which returns the bare data for a statsguru search, but the only suggestion I have at present is to build statsguru queries manually with wrappertype=print appended and then use xpath to filter out the data you require.
An example statsguru query: