Fall 2012

Parametric and topological inference for masked system lifetime data

Commonly, reliability data consists of lifetimes (or censoring information) on all components and systems under examination. However, masked system lifetime data represents an important class of problems where the information available for statistical analysis is more limited: one only has failure times for the system as a whole, but no data on the component lifetimes directly, or even which components were failed.

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Efficient Distribution of Water Between Head-Reach and Tail-End Farms in Developing Countries

The necessity of surface water for irrigation and its increasing scarcity in developing economies motivate the need for its efficient distribution. The inequity in the distribution of surface water arises due to the relative physical locations of the farms. Head-reach (primary) farms are close to the source while tail-end(secondary) farms are relatively farther. The lack of physical infrastructure implies that water allocated to secondary farms must pass through primary farms. Left to their individual incentives, primary farmers use more than their fair share of water by denying its release to secondary farmers. Such an inequitable sharing results in significantly sub-optimal productivity of the farming community as a whole. 

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Extropy: XColony – A Paper Game. An Exotic Tool for Intuitive Decision Making

XColony is a hierarchical modular construction game that aims to train the brain for today’s careers: researcher, scientist, data analyst, or manager. Concepts like abstract thinking, structure, modular approach, duality and isomorphism are emerging from a toy, using a visual language rather than mathematical or formal notations. The game-like environment would make it easier to understand problems in computational architecture, robotics, 3D perception and combinatorial geometry.

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Kolmogorov Stories

Asaf Hajiev is a Professor of Mathematics at Baku State University and is a Corresponding Member of the Azerbaijan National Academy of Sciences. He received his doctorate in probability theory from Moscow State University under the supervision of Yuri Belyaev with a specialization in queueing and reliability. His current interests are in probability modeling and statistical inference. He has been a visiting professor at many institutions, including UC Berkeley and Bogacizi University in Istanbul. During his student days at Moscow State University he had first hand interactions with Kolmogorov, as a teacher, a mentor, an advisor, and a friend. In this talk Asaf will relate his experiences with Kolmogorov with a slant towards the personal and the non-academic, and give us some interesting stories about Kolmogorov’s modus operandus with his colleagues, students, and a bevy of scientists and mathematicians who visited him.

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Extropy: A complementary dual of entropy

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Hospitals clustering via semiparametric Bayesian models: Model based methods for assessing healthcare performance

A Bayesian semiparametric mixed effects models is presented for the analysis of binary survival data coming from a clinical survey on STEMI (ST segment Elevation Myocardial Infarction), where statistical units (i.e., patients) are grouped by hospital of admission. The idea is to exploit the flexibility and potential of such models for carrying out model-based clustering of the random effects in order to profile hospitals according to their effects on patient’s outcome.

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