Sequential estimation is used where the total sample size is not fix and the problem cannot solve with this fixed sample
size. Sequentially estimating the mean in an exponential distribution (one and two parameter), is an important
problem which has attracted attentions from authors over the years. These largely addressed an exponential distribution
involving a single or two parameters. In this paper, two stage sampling, which introduced by Mukhopadhyay
and Zacks (2007), is employed to estimate linear combinations of the location and scale parameters of a negative
exponential distribution (two parameter) with bounded quadratic risk function. Furthermore some simulation results
are provided.