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Partial identification using random set theory
, 2010
"... This paper illustrates how the use of random sets theory can benefit partial identification analysis. We revisit the origins of Manski’s work in partial identification (e.g., Manski (1989, 1990)), focusing our discussion on identification of probability distributions and conditional expectations in ..."
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This paper illustrates how the use of random sets theory can benefit partial identification analysis. We revisit the origins of Manski’s work in partial identification (e.g., Manski (1989, 1990)), focusing our discussion on identification of probability distributions and conditional expectations in the presence of selectively observed data, statistical independence and mean independence assumptions, and shape restrictions. We show that the use of the Choquet capacity functional and of the Aumann expectation of a properly defined random set can simplify and extend previous results in the literature. We pay special attention to explaining how the relevant random set needs to be constructed, depending on the econometric framework at hand. We also discuss limitations in the applicability of specific tools of random sets theory to partial identification analysis.
Educating systems engineers: Encouraging divergent thinking. Paper presented at the
 Proceedings of the Twelfth Annual International Symposium of the International Council on Systems Engineering, Las Vegas, NV. Retrieved from http://www.ertin.com/papers/mccumber_sloan_2002.pdf
, 2002
"... Abstract. Parallels between divergent thought processes, studied in creativity research by developmental psychologists, and the intellectual control imperatives of systems engineering are examined. A metaphorical template of the systems engineer's thought processes as defined by and taught from ..."
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Abstract. Parallels between divergent thought processes, studied in creativity research by developmental psychologists, and the intellectual control imperatives of systems engineering are examined. A metaphorical template of the systems engineer's thought processes as defined by and taught from the standpoint of convergence is presented, and a core set of training modules to aid in evolving systems engineers from domain engineer stock is recommended. A. D. Hall's 1969 model of the systems engineer's thought structure is resurrected and is found to still apply to the convergent mode of systems engineering training. It is suggested that teaching systems engineers to develop divergent thought processes is analogous to teaching “creativity ” in other fields. An examination technique, employed with success in a related field (e.g., Microsoft certification), that uses the traditional "convergent " multiple choice question, but forces divergent thinking to arrive at the “correct ” answer, is discussed.
CERTIFICATE OF APPROVAL
, 2011
"... ii To my Dad iii Continuous effort – not strength or intelligence – is the key to unlocking our potential.Winston Churchill iv ..."
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ii To my Dad iii Continuous effort – not strength or intelligence – is the key to unlocking our potential.Winston Churchill iv
Accepted for the Council:
, 2010
"... This Dissertation is brought to you for free and open access by the Graduate School at Trace: Tennessee Research and Creative Exchange. It has been ..."
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This Dissertation is brought to you for free and open access by the Graduate School at Trace: Tennessee Research and Creative Exchange. It has been
© Hindawi Publishing Corp. TOTAL CHARACTERS AND CHEBYSHEV POLYNOMIALS
, 2002
"... The total character τ of a finite group G is defined as the sum of all the irreducible characters of G. K. W. Johnson asks when it is possible to express τ as a polynomial with integer coefficients in a single irreducible character. In this paper, we give a complete answer to Johnson’s question for ..."
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The total character τ of a finite group G is defined as the sum of all the irreducible characters of G. K. W. Johnson asks when it is possible to express τ as a polynomial with integer coefficients in a single irreducible character. In this paper, we give a complete answer to Johnson’s question for all finite dihedral groups. In particular, we show that, when such a polynomial exists, it is unique and it is the sum of certain Chebyshev polynomials of the first kind in any faithful irreducible character of the dihedral group G. 2000 Mathematics Subject Classification: 20C15. 1. Introduction. A Gel’fand model M for a group G was defined in [8] as any complex representation of G which is isomorphic to the direct sum of all irreducible representations of G. We refer to the character of such a representation as the total character τ of G. A Gel’fand model afforded by a (generalized) permutation representation is referred to as a (weakly) geometric Gel’fand model.
Council for Research Planning in Biological SciencesIntroduction
, 1983
"... Biological techniques are enabling mankind the means of achieving a quality of life that was unheard of just a few years ago. I’m sure you share in that excitement just as I do. Although the mass media sometimes seems preoccupied with society’s problems and troubles, Biotechnology has been generally ..."
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Biological techniques are enabling mankind the means of achieving a quality of life that was unheard of just a few years ago. I’m sure you share in that excitement just as I do. Although the mass media sometimes seems preoccupied with society’s problems and troubles, Biotechnology has been generally presented in a favorable light. It occupies the glamour that the chemical industry had forty or fifty years ago, before the side effects of chemical production became known and
BY
, 2010
"... Whispering is a common type of speech which is not often studied studied with speech technology. Perceptual and physiological studies show us that it is subtly dierent from phonated speech, and is surprisingly able to carry a tremendous amount of information. In this thesis we consider the question ..."
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Whispering is a common type of speech which is not often studied studied with speech technology. Perceptual and physiological studies show us that it is subtly dierent from phonated speech, and is surprisingly able to carry a tremendous amount of information. In this thesis we consider the question: what makes whispering a good form of communication. We examine the dierences between normal phonated speech and whispered speech, and gauge the ecacy of state of the art speech recognition algorithms on recognizing whisper. A method for building speech recognizers for whispered speech using limited whisper speech data is proposed and evaluated. ii Draft of November 17, 2010 at 13: 35 To friends, family and teachers.