caa a22 4500 475826566 CHVBK 20180406123830.0 cr unu---uuuuu 170329e20000301xx s 000 0 eng 10.1023/A:1004141117010 doi (NATIONALLICENCE)springer-10.1023/A:1004141117010 Positron Emission Tomography and Random Coefficients Regression [Elektronische Daten] [Andrey Feuerverger, Yehuda Vardi] We further explore the relation between random coefficients regression (RCR) and computerized tomography. Recently, Beran et al. (1996, Ann. Statist., 24, 2569-2592) explored this connection to derive an estimation method for the non-parametric RCR problem which is closely related to image reconstruction methods in X-ray computerized tomography. In this paper we emphasize the close connection of the RCR problem with positron emission tomography (PET). Specifically, we show that the RCR problem can be viewed as an idealized (continuous) version of a PET experiment, by demonstrating that the nonparametric likelihood of the RCR problem is equivalent to that of a specific PET experiment. Consequently, methods independently developed for either of the two problems can be adapted from one problem to the other. To demonstrate the close relation between the two problems we use the estimation method of Beran, Feuerverger and Hall for image reconstruction in PET. The Institute of Statistical Mathematics, 2000 Computerized tomography nationallicence fast Fourier transform nationallicence non-parametric likelihood nationallicence positron emission tomography nationallicence projection-slice theorem nationallicence Radon transform nationallicence random coefficients regression nationallicence regularization nationallicence smoothed EM algorithm nationallicence Feuerverger Andrey Department of Statistics, University of Toronto, 100 St. George St., Toronto, M5S 3G3, Ontario, Canada aut Vardi Yehuda Department of Statistics, Rutgers University, 110 Frelinghuysen Rd, 08854-8019, Piscataway, NJ, U.S.A. aut Annals of the Institute of Statistical Mathematics Kluwer Academic Publishers 52/1(2000-03-01), 123-138 0020-3157 52:1<123 2000 52 10463 https://doi.org/10.1023/A:1004141117010 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1023/A:1004141117010 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Feuerverger Andrey Department of Statistics, University of Toronto, 100 St. George St., Toronto, M5S 3G3, Ontario, Canada aut NATIONALLICENCE 700 1- Vardi Yehuda Department of Statistics, Rutgers University, 110 Frelinghuysen Rd, 08854-8019, Piscataway, NJ, U.S.A aut NATIONALLICENCE 773 0- Annals of the Institute of Statistical Mathematics Kluwer Academic Publishers 52/1(2000-03-01), 123-138 0020-3157 52:1<123 2000 52 10463 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer