  Fractional quantum Hall (FQH) fluids host quasiparticle excitations that
carry a fraction of the electronic charge. Moreover, in contrast to bosons and
fermions that carry exchange statistics of $0$ and $\pi$ respectively, these
quasiparticles of FQH fluids, when braided around one another, can accumulate a
Berry phase, which is a fractional multiple of $\pi$. Deploying the spherical
geometry, we numerically demonstrate that composite fermion particle (CFP)
excitations in the Jain FQH states carry Abelian fractional statistics.
Previously, the exchange statistics of CFPs were studied in the disk geometry,
where the statistics get obscured due to a shift in the phase arising from the
addition of another CFP, making its determination cumbersome without prior
knowledge of the shift. We show that on the sphere this technical issue can be
circumvented and the statistics of CFPs can be obtained more transparently. The
ideas we present can be extended to determine the statistics of quasiparticles
arising in certain non-Abelian partonic FQH states.
