On the uniqueness of maximum likelihood estimation of nuclear sources

J. Haug; M. F. Anjum; Brian Anderson; Soura Dasgupta; R. Mudumbai; H. E. Baidoo-Williams

On the uniqueness of maximum likelihood estimation of nuclear sources

J. Haug
, M. F. Anjum
, Brian Anderson
, Soura Dasgupta
, R. Mudumbai
, H. E. Baidoo-Williams

Research output: Chapter in Book/Report/Conference proceeding › Conference Paper › peer-review

Abstract

In an earlier paper, [1], we have considered the Maximum Likelihood (ML) localization of a stationary nuclear source using the time of arrival of particles modeled as a Poisson process. In this paper we consider whether the ML location estimate characterized in [1] is unique. In particular, we show that the question of uniqueness is equivalent to whether or not the root locus of a certain transfer function admits a single pair of nonzero imaginary axis crossing.

Original language	English
Title of host publication	Proceedings, 23rd International Symposium on Mathematical Theory of Networks and Systems
Place of Publication	Hong Kong
Publisher	The Hong Kong University of Science and Technology
Pages	893-896
Edition	Peer reviewed
Publication status	Published - 2018
Event	23rd International Symposium on Mathematical Theory of Networks and Systems, MTNS 2018 - Hong Kong, Hong Kong Duration: 1 Jan 2018 → …

Conference

Conference	23rd International Symposium on Mathematical Theory of Networks and Systems, MTNS 2018
Country/Territory	Hong Kong
Period	1/01/18 → …
Other	16-20 July 2018

Cite this

@inproceedings{1264a3aa2d734178aea878bfab3ccabb,

title = "On the uniqueness of maximum likelihood estimation of nuclear sources",

abstract = "In an earlier paper, [1], we have considered the Maximum Likelihood (ML) localization of a stationary nuclear source using the time of arrival of particles modeled as a Poisson process. In this paper we consider whether the ML location estimate characterized in [1] is unique. In particular, we show that the question of uniqueness is equivalent to whether or not the root locus of a certain transfer function admits a single pair of nonzero imaginary axis crossing.",

author = "J. Haug and Anjum, \{M. F.\} and Brian Anderson and Soura Dasgupta and R. Mudumbai and Baidoo-Williams, \{H. E.\}",

year = "2018",

language = "English",

pages = "893--896",

booktitle = "Proceedings, 23rd International Symposium on Mathematical Theory of Networks and Systems",

publisher = "The Hong Kong University of Science and Technology",

edition = "Peer reviewed",

note = "23rd International Symposium on Mathematical Theory of Networks and Systems, MTNS 2018 ; Conference date: 01-01-2018",

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Haug, J, Anjum, MF, Anderson, B, Dasgupta, S, Mudumbai, R & Baidoo-Williams, HE 2018, On the uniqueness of maximum likelihood estimation of nuclear sources. in Proceedings, 23rd International Symposium on Mathematical Theory of Networks and Systems. Peer reviewed edn, The Hong Kong University of Science and Technology, Hong Kong, pp. 893-896, 23rd International Symposium on Mathematical Theory of Networks and Systems, MTNS 2018, Hong Kong, 1/01/18.

On the uniqueness of maximum likelihood estimation of nuclear sources. / Haug, J.; Anjum, M. F.; Anderson, Brian et al.
Proceedings, 23rd International Symposium on Mathematical Theory of Networks and Systems. Peer reviewed. ed. Hong Kong: The Hong Kong University of Science and Technology, 2018. p. 893-896.

Research output: Chapter in Book/Report/Conference proceeding › Conference Paper › peer-review

TY - GEN

T1 - On the uniqueness of maximum likelihood estimation of nuclear sources

AU - Haug, J.

AU - Anjum, M. F.

AU - Anderson, Brian

AU - Dasgupta, Soura

AU - Mudumbai, R.

AU - Baidoo-Williams, H. E.

PY - 2018

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AB - In an earlier paper, [1], we have considered the Maximum Likelihood (ML) localization of a stationary nuclear source using the time of arrival of particles modeled as a Poisson process. In this paper we consider whether the ML location estimate characterized in [1] is unique. In particular, we show that the question of uniqueness is equivalent to whether or not the root locus of a certain transfer function admits a single pair of nonzero imaginary axis crossing.

M3 - Conference Paper

SP - 893

EP - 896

BT - Proceedings, 23rd International Symposium on Mathematical Theory of Networks and Systems

PB - The Hong Kong University of Science and Technology

CY - Hong Kong

T2 - 23rd International Symposium on Mathematical Theory of Networks and Systems, MTNS 2018

Y2 - 1 January 2018

ER -

On the uniqueness of maximum likelihood estimation of nuclear sources

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