Diffuse optical tomography is a non-linear ill-posed boundry value and optimization problem which necessitates regularization.

In this article, we have estimated the scale parameter of exponential distribution with a prior information. A shrinkage estimator is derived for parameter of exponential distribution contaminated with outliers

and in the presence of LINEX...

with parameter λ . Assuming that there is

a prior guess or estimate 0 R . We develop various shrinkage estimators of

R that incorporate this prior information. The performance of the new

estimators is investigated and compared...

We consider the problem of estimation of R = P(Y <X) where X and Y have

independent distributions. X have exponential distribution mixing with exponential

distribution with parameters β and θ. Assuming ...