We consider a linear algebraic system A(p)x = b(q), where the elements of the matrix and the right-hand side vector are linear functions of uncertain parameters varying within given intervals. The linear tolerance problem for the so-called parametric tolerable solution set Σtol(A(p), b(q), [p], [q]) = {x ∈ Rn | (∀p ∈ [p])(∃q ∈ [q])(A(p)x = b(q))} requires an inner estimation of this solution se...

Dynamic positron emission tomography (PET) can monitor spatiotemporal distribution of radiotracer in vivo. The spatiotemporal information can be used to estimate parametric images of radiotracer kinetics that are of physiological and biochemical interests. Direct estimation of parametric images from raw projection data allows accurate noise modeling and has been shown to offer better image qual...

This paper studies the identification and estimation of a basic model of technology adoption using specifically collected information on subjective beliefs and expectations to identify key model parameters. We discuss identification with both non-parametrically and parametrically specified utility as well as parametric and semi-parametric specifications for unobserved heterogeneity. We propose ...

We compare parametric and nonparametric estimation methods in the context of PBPK modeling using simulation studies. We implement a Monte Carlo Markov Chain simulation technique in the parametric method, and a functional analytical approach to estimate the probability distribution function directly in the nonparametric method. The simulation results suggest an advantage for the parametric metho...

An algorithm for non-parametric estimation of one-dimensional ul-trasound pulses in echo sequences from human tissues is derived. The technique is a variation of the homomorphic ltering technique using the real cepstrum, and the underlying basis of the method is explained. The algorithm exploits a priori knowledge about the structure of rf line echo data and can employ a number of adjacent rf l...

Survey sampling often supplies information about a study variable only for sampled elements. However, auxiliary information is often available for the entire population. The relationship of the auxiliary information with the study variable across the sample allows inferences about the nonsampled portion of the population. Thus, auxiliary information can be used to improve upon survey estimation...

Heritability estimation has become an important tool for imaging genetics studies. The large number of voxel- and vertex-wise measurements in imaging genetics studies presents a challenge both in terms of computational intensity and the need to account for elevated false positive risk because of the multiple testing problem. There is a gap in existing tools, as standard neuroimaging software ca...

8 Empirical illustrations 11 8.1 The software R . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12 8.2 Non parametric estimation of densities . . . . . . . . . . . . . . . . . . . . . . . 12 8.3 Estimation of the mean and of the welfare . . . . . . . . . . . . . . . . . . . . . 13 8.4 Inequality measures . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14 ...

Using the weighted maximum likelihood method, we propose a consistent estimation of parametric portion and nonparametric portion in exponential semiparametric regression models under random censorship. A small Monte Carlo study is carried out to examine the proposed estimation method.