In this study, we derived analytic expressions for the elliptical truncated moment generating function (MGF), the zeroth-, first-, and second-order moments of quadratic forms of the multivariate normal, Student’s t, and generalised hyperbolic distributions. The resulting formulae were tested in a numerical application to calculate an analytic expression of the expected shortfall of quadratic po...

This thesis is concerned with topics related to dense mapping of large scale three-dimensional spaces. In particular, the motivating scenario of this work is one in which a mobile robot with limited computational resources explores an unknown environment using a depth-camera. To this end, low-level topics such as sensor noise, map representation, interpolation, bit-rates, compression are invest...

This paper shows that three classic properties for bargaining solutions in an environment with a variable number of agents – Anonymity, Individual Monotonicity and Consistency – characterize a one-parameter class of Truncated Leximin solutions. Given a positive and possibly infinite α, a Truncated Leximin solution gives each agent the minimum of α and their Leximin solution payoff. JEL-Classifi...

Using the dual of Bousfield-Friedlander localization we colocalize resolution model structures on cosimplicial objects over a left proper model category to get truncated resolution model structures. These are useful to study realization and moduli problems in algebraic topology.

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Any views or conclusions contained in this Memorandum should not be interpreted as representing the official opinion or policy of ARPA. DDC AVAILABILITY NOTICE Qualified requesters may obtain copies of this report from the Defense Documentation Center (DDC). 1700 MAIN Si ~SANTA MONICA • CAlifORNIA • • o. t t h-iii PREFACE In the operation of phased-array radars it is possible, in principle, to ...