  With the dark energy phenomena explored over a decade, in this present work
we discuss a specific case of the generalized Einstein-aether theories, in
which the modified Friedmann Equation is similar to that in the
Dvali-Gabadadze-Porrati (DGP) brane world model. We compute the joint statistic
constraints on model parameters in this specific case by using the recent type
Ia supernovae (SNe Ia) data, the Cosmic Microwave Background (CMB) shift
parameter data, and the Baryonic Acoustic Oscillations (BAOs) data traced by
the Sloan Digital Sky Survey (SDSS). Furthermore, we analyze other constrains
from the observational Hubble parameter data (OHD). The comparison with the
standard cosmological model (cosmological constant $\Lambda$ Cold Dark Matter
($\Lambda$CDM) model) is clearly shown; also we comment on the interesting
relation between the coupling constant $M$ in this model and the special
accelerate scale in the MOdified Newtonian Dynamics (MOND) model initially
given by Milgrom with the hope for interpreting the galaxy rotation curves
without introducing mysterious dark matter.
