  In view of recent neutrino experimental results such as SNO, Super-Kamiokande
(SK), CHOOZ and neutrinoless double beta decay $(\beta\beta_{0\nu})$, we
consider a texture of neutrino mass matrix which contains three parameters in
order to explain those neutrino experimental results. We have first fitted
parameters in a model independent way with solar and atmospheric neutrino mass
squared differences and solar neutrino mixing angle which satisfy LMA solution.
The maximal value of atmospheric neutrino mixing angle comes out naturally in
the present texture. Most interestingly, fitted parameters of the neutrino mass
matrix considered here also marginally satisfy recent limit on effective
Majorana neutrino mass obtained from neutrinoless double beta decay experiment.
We further demonstrate an explicit model which gives rise to the texture
investigated by considering an $SU(2)_L\times U(1)_Y$ gauge group with two
extra real scalar singlets and discrete $Z_2\times Z_3$ symmetry. Majorana
neutrino masses are generated through higher dimensional operators at the scale
$M$. We have estimated the scales at which singlets get VEV's and M by
comparing with the best fitted results obtained in the present work.
