1+ @article {dong1987vertex ,
2+ title ={ Vertex method for computing functions of fuzzy variables}
3+ author ={ Dong, Weimin and Shah, Haresh C}
4+ journal ={ Fuzzy sets and Systems}
5+ volume ={ 24}
6+ number ={ 1}
7+ pages ={ 65--78}
8+ year ={ 1987}
9+ publisher ={ Elsevier}
10+ }
11+
12+
13+ @article {williamson1990probabilistic ,
14+ title ={ Probabilistic arithmetic. I. Numerical methods for calculating convolutions and dependency bounds}
15+ author ={ Williamson, Robert C and Downs, Tom}
16+ journal ={ International journal of approximate reasoning}
17+ volume ={ 4}
18+ number ={ 2}
19+ pages ={ 89--158}
20+ year ={ 1990}
21+ publisher ={ Elsevier}
22+ }
23+
24+ @article {springer1979algebra ,
25+ title ={ The algebra of random variables}
26+ author ={ Springer, Melvin Dale}
27+ year ={ 1979}
28+ publisher ={ New York: Wiley,}
29+ }
30+
31+ @book {smith:2004 ,
32+ title ={ Uncertainty quantification: theory, implementation, and applications}
33+ author ={ Smith, Ralph C}
34+ year ={ 2024}
35+ publisher ={ SIAM}
36+ }
37+
38+ @article {Pearson:2017 ,
39+ url = { http://adsabs.harvard.edu/abs/2017arXiv170304627P}
40+ Archiveprefix = { arXiv}
41+ Author = { {Pearson}, S. and {Price-Whelan}, A.~M. and {Johnston}, K.~V.}
42+ Eprint = { 1703.04627}
43+ Journal = { ArXiv e-prints}
44+ Keywords = { Astrophysics - Astrophysics of Galaxies}
45+ Month = mar,
46+ Title = { {Gaps in Globular Cluster Streams: Pal 5 and the Galactic Bar}}
47+ Year = 2017
48+ }
49+
50+ @book {Binney:2008 ,
51+ url = { http://adsabs.harvard.edu/abs/2008gady.book.....B}
52+ Author = { {Binney}, J. and {Tremaine}, S.}
53+ Booktitle = { Galactic Dynamics: Second Edition, by James Binney and Scott Tremaine.~ISBN 978-0-691-13026-2 (HB).~Published by Princeton University Press, Princeton, NJ USA, 2008.}
54+ Publisher = { Princeton University Press}
55+ Title = { {Galactic Dynamics: Second Edition}}
56+ Year = 2008
57+ }
58+
59+ @article {gaia ,
60+ author = { {Gaia Collaboration}}
61+ title = " {The Gaia mission}"
62+ journal = { Astronomy and Astrophysics}
63+ archivePrefix = " arXiv"
64+ eprint = { 1609.04153}
65+ primaryClass = " astro-ph.IM"
66+ keywords = { space vehicles: instruments, Galaxy: structure, astrometry, parallaxes, proper motions, telescopes}
67+ year = 2016 ,
68+ month = nov,
69+ volume = 595 ,
70+ doi = { 10.1051/0004-6361/201629272}
71+ url = { http://adsabs.harvard.edu/abs/2016A%26A...595A...1G}
72+ }
73+
74+ @article {astropy ,
75+ author = { {Astropy Collaboration}}
76+ title = " {Astropy: A community Python package for astronomy}"
77+ journal = { Astronomy and Astrophysics}
78+ archivePrefix = " arXiv"
79+ eprint = { 1307.6212}
80+ primaryClass = " astro-ph.IM"
81+ keywords = { methods: data analysis, methods: miscellaneous, virtual observatory tools}
82+ year = 2013 ,
83+ month = oct,
84+ volume = 558 ,
85+ doi = { 10.1051/0004-6361/201322068}
86+ url = { http://adsabs.harvard.edu/abs/2013A%26A...558A..33A}
87+ }
88+
89+ @misc {fidgit ,
90+ author = { A. M. Smith and K. Thaney and M. Hahnel}
91+ title = { Fidgit: An ungodly union of GitHub and Figshare}
92+ year = { 2020}
93+ publisher = { GitHub}
94+ journal = { GitHub repository}
95+ url = { https://github.com/arfon/fidgit}
96+ }
97+
98+
99+
100+ @article {gray:2021 ,
101+ title ={ ProbabilityBoundsAnalysis. jl: Arithmetic with sets of distributions}
102+ author ={ Gray, Ander and Ferson, Scott and Patelli, Edoardo}
103+ journal ={ Proceedings of JuliaCon}
104+ volume ={ 1}
105+ pages ={ 1}
106+ year ={ 2021}
107+ }
108+
109+
110+ @article {gray:2022 ,
111+ title ={ Probability bounds analysis for Python}
112+ author ={ Gray, Nicholas and Ferson, Scott and De Angelis, Marco and Gray, Ander and de Oliveira, Francis Baumont}
113+ journal ={ Software Impacts}
114+ volume ={ 12}
115+ pages ={ 100246}
116+ year ={ 2022}
117+ publisher ={ Elsevier}
118+ DOI = { https://doi.org/10.1016/j.simpa.2022.100246}
119+ }
120+
121+
122+ @software {marco_2022_6205624 ,
123+ author = { de Angelis, Marco}
124+ title = { intervals}
125+ month = feb,
126+ year = 2022 ,
127+ publisher = { Zenodo}
128+ version = { v0.1}
129+ doi = { 10.5281/zenodo.6205624}
130+ url = { https://doi.org/10.5281/zenodo.6205624}
131+ }
132+
133+ @inproceedings {chen:2025 ,
134+ title = { Imprecise uncertainty management with uncertain numbers to facilitate trustworthy computations}
135+ booktitle = { SciPy Proceedings}
136+ year = { 2025}
137+ doi = { 10.25080/ahrt5264}
138+ author = { Chen, Yu and Ferson, Scott}
139+ }
140+
141+
142+ @article {beer:2013 ,
143+ title ={ Imprecise probabilities in engineering analyses}
144+ author ={ Beer, Michael and Ferson, Scott and Kreinovich, Vladik}
145+ journal ={ Mechanical systems and signal processing}
146+ volume ={ 37}
147+ number ={ 1-2}
148+ pages ={ 4--29}
149+ year ={ 2013}
150+ publisher ={ Elsevier}
151+ }
152+
153+
154+ @incollection {ferson:2001 ,
155+ title ={ Probability bounds analysis solves the problem of incomplete specification in probabilistic risk and safety assessments}
156+ author ={ Ferson, Scott}
157+ booktitle ={ Risk-Based Decisionmaking in Water Resources IX}
158+ pages ={ 173--188}
159+ year ={ 2001}
160+ }
161+
162+ @book {moore:2009 ,
163+ title ={ Introduction to interval analysis}
164+ author ={ Moore, Ramon E and Kearfott, R Baker and Cloud, Michael J}
165+ year ={ 2009}
166+ publisher ={ SIAM}
167+ }
168+
169+ @article {oberkampf:2004 ,
170+ title ={ Verification, validation, and predictive capability in computational engineering and physics}
171+ author ={ Oberkampf, William L and Trucano, Timothy G and Hirsch, Charles}
172+ journal ={ Appl. Mech. Rev.}
173+ volume ={ 57}
174+ number ={ 5}
175+ pages ={ 345--384}
176+ year ={ 2004}
177+ }
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