Scenes are made up of objects and the variability in range pixels results from variations in: (i) objects' shapes and (ii) their placements in a scene. For objects with known shapes, we assume a stochastic model on their placements to derive a physical probability model on range pixel. This model leads to univariate and multivariate probability densities on pixel values. For unknown objects pre...

A class of stochastic processes, denoted as marked rational arrival processes (MRAPs), is defined which is an extension of matrix exponential distributions and rational arrival processes. Continuous time Markov processes with labeled transitions are a subclass of this more general model class. New equivalence relations between processes are defined and it is shown that these equivalence relatio...

We study k-divisible partition structures, which are families of random set partitions whose block sizes are divisible by an integer k = 1, 2, . . .. In this setting, exchangeability corresponds to the usual invariance under relabeling by arbitrary permutations; however, for k > 1, the ordinary deletion maps on partitions no longer preserve divisibility, and so a random deletion procedure is ne...

A large number n of sensors (finite connected intervals) are placed randomly on the real line so that the distances between the consecutive midpoints are independent random variables with expectation inversely proportional to n. In this work we address two fundamental sensor allocation problems. Interference problem tries to reallocate the sensors from their initial positions to eliminate overl...

Kinetic analysis with probability mapping is an objective method of serial image analysis applicable to radioimmunoscintigraphy. The technique is described and subjected to clinical testing by comparing the prediction of biopsy histology from the probability map in patients coming to operation. In those with ovarian cancer undergoing second-look laparotomy after completing full courses of chemo...

This work describes applications of probability and statistics in RiskMetrics TM , J P Morgan's methodology for quantifying market risk. The methodology implements an analytical approach to nancial risk in trading, arbitrage, and investment based on the statistics of market moves in equities, bonds, currencies and commodities. The public unveiling of RiskMetrics TM in October of 1994 attracted ...

In this thesis, the performance of the Gaussian Mixture Probability Hypothesis Density (GM-PHD) filter using a pair of stereo vision system to overcome label discontinuity and robust tracking in an Intelligent Vision Agent System (IVAS) is evaluated. This filter is widely used in multiple-target tracking applications such as surveillance, human tracking, radar, and etc. A pair of cameras is use...

Measurement of the B oscillation frequency ∆m, as well as CP -violation tests, critically depend on determining both the initial and decay “b-flavor” of the meson, with the initial flavor tag usually the principle difficulty. We report a new ∆md measurement1 using a modified version of “Same-Side” flavor tagging adapted to the challenging problem of tagging an inclusive lepton+vertex B sample. ...

We experimentally analyze the accuracy of the System Z+ qualitative probability scheme of Goldszmidt and Pearl when used for diagnosis and information fusion. The Intrusion Detection System (IDS) fusion system Scyllarus, and its successor MIFD, use Z+ to assess the likelihood of various cyber attack events based on reports from IDSes. Z+ provides an order of magnitude approximation of conventio...