Abstract We empirically show that sample information not only moderates prospects’ outcome ambiguity but also decision makers’ revealed aversion of them. Since most natural prospects permit at least some inference, accounting for their degree improves prediction aversion. The special case full ambiguity, as in Ellsberg-type designs, is typically averted—yet many makers systematically like low d...

This talk is based on a joint paper with A. Bonami and G. Garrigós [3] in which the phase retrieval problem for the Radar Ambiguity Function (i.e. the Radar Ambiguity Problem) has been tackled. In particular it was shown that for wide classes of signals, the radar ambiguity problem has a unique solution, up to trivial transformations. In the second part of the talk, we report on ongoing work by...

By using the fractional Fourier transformation of the time-domain signals, closed-form expressions for the projections of their auto or cross ambiguity functions are derived. Based on a similar formulation for the projections of the auto and cross Wigner distributions and the well known two-dimensional (2-D) Fourier transformation relationship between the ambiguity and Wigner domains, closed-fo...

Al-Najjar and Weinstein 2009 propose to scrutinize the implications of recent theories of ambiguity in dynamic settings. They conclude that such implications are so unreasonable as to cast doubts on the legitimacy of the theories under consideration. The present paper argues that the seemingly unreasonable implications highlighted by Al-Najjar and Weinstein can be understood as the result of ba...

We present the concept of nocuous ambiguity, which occurs when text is interpreted differently by different readers. In contrast, text exhibits innocuous ambiguity if different readers interpret it in the same way, even though structural or semantic analyses suggest that multiple interpretations may be possible. We collect multiple human judgements of a set of English phrases obtained from requ...

We analyze a market populated by expected utility maximizers and smooth ambiguity-averse consumers. We study conditions under which ambiguity-averse consumers survive and affect prices in the limit. If ambiguity vanishes with time or if the economy exhibits no aggregate risk, ambiguity-averse consumers survive, but have no long-run impact on prices. In both scenarios, ambiguity-averse consumers...

We examine how words group together in the lexicon, in terms of ambiguity classes, and use this information in a redefined tagset to improve POS tagging. In light of errors in the training data and a limited amount of annotated data, we investigate ways to define ambiguity classes for words which consider the lexicon as a whole and predict unknown uses of words. Fitting words to typical ambigui...

We derive Cramér–Rao bound (CRB) expressions for the range (time delay), velocity (Doppler shift), and direction of a point target using an active radar or sonar array. First, general CRB expressions are derived for a narrowband signal and array model and a space-time separable noise model that allows both spatial and temporal correlation. We discuss the relationship between the CRB and ambigui...

For a fast moving CROSS-AMBIGUITY FUNCTION Kam W. Lo and Brian G. Ferguson Defence Science and Technology Organisation P.O. Box 44 Pyrmont NSW Australia acoustic source in proximity to a pair of widely spaced sensors, the conventional cross correlation method results in poor time delay estimates because the signal received by each sensor experiences a different degree of time scaling. The corre...

This paper reports the results of the first experiment in the United States designed to distinguish two sources of ambiguity: imprecise ambiguity (expert groups agree on a range of probability, but not on any point estimate) versus conflict ambiguity (each expert group provides precise probability estimates which differ from one group to another). The specific context is whether risk profession...