A wind turbine rotor shaft arrangement comprising a shaft supporting wind turbine blades and a non-rotating first housing structure (mounted to a wind turbine nacelle framing) along with a first rolling bearing supporting (in a first axial direction) the shaft to the first housing structure at a first support point. The first rolling bearing is a self-aligning bearing comprising a first inner ring, a first outer ring and a set of rolling elements interposed therebetween. Each roller is asymmetric, having a curved raceway-contacting surface contacting at least one of the curved inner/outer raceways of the first inner/outer ring, respectively. A contact angle between each roller and the respective raceway is inclined respective to the shaft radial direction. A non-rotating second housing structure (mounted to the wind turbine nacelle framing) supports the shaft. A second rolling bearing supports the shaft by the second housing structure at a second support point.