Showing papers on "Maximum a posteriori estimation published in 1973"

An estimate of the upper bound on error probability for maximum-likelihood sequence estimation on channels having a finite-duration pulse response (Corresp.)

Abstract: An estimate of an upper bound on performance in terms of probability of error is developed for maximum-likelihood sequence estimation over channels for which only the pulse response energy and duration are known. This bound is evaluated for channels with a pulse response duration up to 10 signaling intervals, and the related minimum-distance channel codes are presented.

A Survey of Maximum Likelihood Estimation: Part 2

Abstract: In Part 2 of this survey the discussion is mainly confined to the problem of comparing maximum likelihood estimation with other estimation procedures and the related problems that arise by reason of the existence of inconsistent maximum likelihood estimates, and of other estimators which are superefficient, with regard to which special reference is made to the work of C. R. Rao (1961a and 1962a). Initially, however, there is a further discussion of Cramer's conditions as they relate to consistency and efficiency, and there is also a section on the general multiparameter situation. All references are contained within the bibliography at the end of Part 1 (Int. Statist. Rev., Vol. 40, No. 3, 1972, pp. 329-354), but a number of important definitions are given separately in the Appendix at the end of this paper.

Statistical Analysis of Dynamic Tracer Data

Abstract: Statistical estimation theory is applied to the problem of analyzing data obtained in dynamic tracer studies in nuclear medicine. Procedures are given for the determination of the maximum likelihood (ML), maximum a posteriori probability (MAP), and minimum meansquare-error (MMSE) estimates of parameters describing the transport of the monitored tracer in tissue. Some numerical results are given for data obtained in monitoring the natural decay of strontium-85 and oxygen-15 isotopes frequently used in nuclear medicine.

An Empirical Bayes Approach for the Poisson Life Distribution

Abstract: A smooth empirical Bayes estimator is derived for the intensity parameter (hazard rate) in the Poisson distribution as used in life testing. The reliability function is also estimated either by using the empirical Bayes estimate of the parameter, or by obtaining the expectation of the reliability function. The behavior of the empirical Bayes procedure is studied through Monte Carlo simulation in which estimates of mean-squared errors of the empirical Bayes estimators are compared with those of conventional estimators such as minimum variance unbiased or maximum likelihood. Results indicate a significant reduction in mean-squared error of the empirical Bayes estimators over the conventional variety.

Statistical estimates of bounded optical scenes by the method of 'prior probabilities' (Corresp.)

Abstract: A method is developed for producing a maximum-likelihood estimate of an optical object scene that simultaneously is bounded above and below by known radiance levels. The a priori object statistics are assumed unknown and so must be estimated if a maximum-likelihood estimator is to be found. Recourse is made to a counting procedure in the spirit of Jaynes' [2] approach to estimating a "prior probability" distribution.

Method of maximum likelihood for stationary time series models

Abstract: Whittle [1] proposed a method of obtaining the likelihood function for a linear dynamic model (with rational pulse transfer function and excited by Gaussian signal). In this note a simple derivation of his result is given.