analistica/notes/docs/bibliography.bib

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@article{cock41,
title={The Distribution of a Product from Several Sources to Numerous Localities},
2020-05-03 00:05:25 +02:00
author={Hitchcock, Frank L},
journal={Journal of mathematics and physics},
volume={20},
number={1-4},
pages={224 -- 230},
2020-05-03 00:05:25 +02:00
year={1941},
publisher={Wiley Online Library}
}
@article{ramdas17,
title={On {Wasserstein} Two-sample Testing and Related Families of Nonparametric
Tests},
2020-05-03 00:05:25 +02:00
author={Ramdas, Aaditya and Trillos, Nicolas Garcia and Cuturi, Marco},
journal={Entropy},
volume={19},
number={2},
pages={47},
year={2017},
publisher={Multidisciplinary Digital Publishing Institute}
}
2020-05-08 23:07:37 +02:00
@article{marsaglia03,
title={Evaluating {Kolmogorov}s distribution},
2020-05-08 23:07:37 +02:00
author={Marsaglia, George and Tsang, Wai Wan and Wang, Jingbo and others},
journal={Journal of Statistical Software},
volume={8},
number={18},
pages={1 -- 4},
2020-05-08 23:07:37 +02:00
year={2003}
}
@article{robertson74,
title={An Iterative Procedure for Estimating the Mode},
2020-05-08 23:07:37 +02:00
author={Robertson, Tim and Cryer, Jonathan D},
journal={Journal of the American Statistical Association},
volume={69},
number={348},
pages={1012 -- 1016},
2020-05-08 23:07:37 +02:00
year={1974},
publisher={Taylor \& Francis Group}
}
@book{silverman86,
title={Density Estimation for Statistics and Data Analysis},
2020-05-08 23:07:37 +02:00
author={Silverman, Bernard W},
volume={26},
year={1986},
publisher={CRC press}
}
@book{davis59,
title={{Leonhard Euler}'s Integral: A Historical Profile of the Gamma Function},
2020-05-08 23:07:37 +02:00
author={Davis, P. J.},
year={1959},
journal={American Mathematical Monthly},
pages={849 - 869},
doi={10.2307/2309786}
}
@book{bak91,
title={Complex Analysis},
2020-05-08 23:07:37 +02:00
author={Bak, Joseph and Newman, Donald J and Newman, Donald J},
year={1991},
publisher={Springer},
pages={265 -- 268}
}
@misc{yee19,
title={Formulas and Algorithms},
author={Alexander Yee},
year={2019},
journal={Alex Yee Website},
url={http://www.numberworld.org/y-cruncher/internals/formulas.html}
}
@article{riddle08,
title={Approximating the Sum of a Convergent Series},
author={Riddle, Larry},
journal={AP{\textregistered} Calculus},
year={2008},
publisher={Citeseer}
}
2020-05-11 23:28:23 +02:00
@misc{painless94,
title={An Introduction to the Conjugate Gradient Method Without the
Agonizing Pain},
2020-05-11 23:28:23 +02:00
author={Shewchuk, Jonathan Richard and others},
year={1994},
pages={42},
publisher={Carnegie-Mellon University. Department of Computer Science}
}
@article{Lou05,
title={A Brief Description of the {Levenberg-Marquardt} Algorithm
Implemened by levmar},
2020-05-11 23:28:23 +02:00
author={M. I. A. Lourakis},
year={2005},
journal={Matrix}
}
@article{sayah19,
title={Adaptive stratified Monte Carlo algorithm for numerical computation
of integrals},
author={Sayah, Toni},
journal={Mathematics and Computers in Simulation},
volume={157},
pages={143 -- 158},
year={2019},
publisher={Elsevier}
}
@article{ridder17,
title={Variance Reduction},
author={Ridder, AAN and Botev, ZI},
journal={Wiley StatsRef: Statistics Reference Online},
pages={1 -- 6},
year={2017},
publisher={Wiley}
}
@article{lepage78,
title={A New Algorithm for Adaptive Multidimensional Integration},
author={Lepage, G Peter},
journal={Journal of Computational Physics},
volume={27},
number={2},
pages={192 -- 203},
year={1978},
publisher={Elsevier}
}
@book{hecht02,
title={Optics},
author={Eugene Hecht},
year={2002},
publisher={Pearson}
}
@article{lucy74,
title={An Iterative Technique for the Rectification of Observed
Distributions},
author={Lucy, Leon B.},
journal={The astronomical journal},
volume={79},
pages={745},
year={1974}
}
@book{bishop06,
title={Pattern Recognition and Machine Learning},
author={Bishop, Christopher M.},
year={2006},
pages={186 -- 189},
publisher={Springer}
}
@techreport{novikoff63,
title={On Convergence Proofs for Perceptrons},
author={Novikoff, Albert B},
year={1963},
institution={Stanford Researhc INST Menlo Park CA}
}
2020-05-25 12:43:58 +02:00
@incollection{brent00,
title={Some New Algorithms for High-precision Computation of
{Euler}s constant},
2020-05-25 12:43:58 +02:00
author={Brent, Richard P and McMillan, Edwin M},
booktitle={Pi: A Source Book},
pages={448--455},
year={2000},
publisher={Springer}
}
@article{corless96,
title={On the {Lambert} {W} function},
author={Corless, Robert M and Gonnet, Gaston H and Hare, David EG and Jeffrey,
David J and Knuth, Donald E},
journal={Advances in Computational mathematics},
volume={5},
number={1},
pages={329 -- 359},
year={1996},
publisher={Springer}
}
@article{demailly17,
title={Precise Error Estimate of the {Brent-McMillan} algorithm for the
computation of {Euler}'s constant},
author={Jean-Pierre Demailly},
year={2017}
}
@manual{mpmath13,
title={mpmath: a {P}ython library for arbitrary-precision floating-point
arithmetic (version 0.18)},
author={Fredrik Johansson and others},
key={mpmath},
note={{\tt http://mpmath.org/}},
month={December},
year={2013},
}
@manual{gmp20,
title={{GNU MP}: The {GNU} Multiple Precision Arithmetic Library,
Edition 6.2.0 (version 0.18)},
author={Torbjörn Granlund and the GMP development team},
key={gmp},
note={{\tt https://gmplib.org/}},
month={January},
year={2020},
}
@manual{gsl19,
title={{GNU} Scientific Library Reference Manual (3rd Edition)},
author={M. Galassi et al},
ISBN={0954612078},
url={http://www.gnu.org/software/gsl/},
year={2019}
}