We have the Japanese market share data based on camera sales of 2013 (Source: BCNranking). As you can see Sony made a+6% jump in the mirrorless segment. The less good news is that Sony lost market share in the DSLR-SLT category. Sony also lost a tiny 1% share in the compact camera business.
Note that in Japan the mirrorless sales numbers are as big as DSLR. Would love to see worldwide results too but unlike Japanese other countries do not provide such detailed data. At leats in US you can make a very rough idea of what sells through Amazon US ranking (Click here to see). And as usual Compact Cameras and DSLR from Canon are on top.