This paper studies the distributed estimation problem of in a wireless sensor network (WSN) where the collected observations are used to estimate a deterministic network-wide parameter. We propose an adaptive distributed parameter estimation approach for WSN, named as DI-NLMS, using the incremental least-mean squares (I-LMS) technique and exploiting the spatio-temporal diversity to achieve fast convergence rate and satisfactory steady state performance. In this algorithm, every individual node shares the changes in the surrounding environment w...