Efficient Estimation Using Both Direct and Indirect Observations
نویسندگان
چکیده
منابع مشابه
Efficient estimation using both direct and indirect observations
The Ibragimov Hasminskii model postulates observing X1, . . . , Xm independent, identically distributed according to an unknown distribution G and Y1, . . . , Yn independent and identically distributed according to ∫ k(·, y)dG(y) where k is known, for example, Y is obtained from X by convolution with a Gaussian density. We exhibit sieve type estimates of G which are efficient under minimal cond...
متن کاملDirect Estimation of Linear Functionals from Indirect Noisy Observations
The authors study the efficiency of the linear–functional strategy, as introduced by Anderssen (1986), for inverse problems with observations blurred by Gaussian white noise with known intensity δ. The optimal accuracy is presented and it is shown how this can be achieved by a linear–functional strategy based on the noisy observations. This optimal linear–functional strategy is obtained from Ti...
متن کاملEstimation of Soil Erosion Using RUSLE Model and Determination of Direct and Indirect Damages in Kan Watershed
Prioritization of different regions at watersheds based on the erosion rate and sediment yield with approach of its economic effects can lead to the production of valuable information for projects of soil conservatism. The present study aim was sub-watersheds prioritization of Kan watershed based on erosion condition with the approach of economic losses from erosion and sediment. Therefore, the...
متن کاملOptimal Change-Point Estimation from Indirect Observations
We study nonparametric change-point estimation from indirect noisy observations. Focusing on the white noise convolution model, we consider two classes of functions that are smooth apart from the change-point. We establish lower bounds on the minimax risk in estimating the change-point and develop rate optimal estimation procedures. The results demonstrate that the best achievable rates of conv...
متن کاملDimethyl Sulfoxide Induces Both Direct and Indirect Tau Hyperphosphorylation
Dimethyl sulfoxide (DMSO) is widely used as a solvent or vehicle for biological studies, and for treatment of specific disorders, including traumatic brain injury and several forms of amyloidosis. As Alzheimer's disease (AD) brains are characterized by deposits of β-amyloid peptides, it has been suggested that DMSO could be used as a treatment for this devastating disease. AD brains are also ch...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Theory of Probability & Its Applications
سال: 1994
ISSN: 0040-585X,1095-7219
DOI: 10.1137/1138022