bibdb.bib

@article{Hwang:recurrence,
author = {Hwang, Hsien-Kuei and Janson, Svante and Tsai, Tsung-Hsi},
title = {Exact and Asymptotic Solutions of a Divide-and-Conquer Recurrence Dividing at Half: Theory and Applications},
journal = {ACM Trans. Algorithms},
issue_date = {December 2017},
volume = {13},
number = {4},
month = oct,
year = {2017},
issn = {1549-6325},
pages = {47:1--47:43},
articleno = {47},
numpages = {43},
url = {http://doi.acm.org/10.1145/3127585},
doi = {10.1145/3127585},
acmid = {3127585},
publisher = {ACM},
address = {New York, NY, USA},
keywords = {Analysis of algorithms, additivity, asymptotic approximation, asymptotic linearity, functional equation, identity, master theorems, periodic oscillation, recurrence relation, sensitivity analysis, uniform continuity},
}
@misc{selection-comparisons-table,
author = {Kenneth Oksanen \textless{}cessu@iki.fi\textgreater{}},
title = {Selecting the $i^\textrm{th}$ largest of $n$ elements},
url = {http://www.cs.hut.fi/~cessu/selection/}
}
@misc{eku-notes:recurrences,
author = {Eklavya Sharma},
title = {Notes: Recurrence Relations},
url = {https://sharmaeklavya2.github.io/notes/math/recurrences.pdf}
}
@misc{eku-notes:heaps,
author = {Eklavya Sharma},
title = {Notes: Heaps},
url = {https://sharmaeklavya2.github.io/notes/algorithms/heaps.pdf}
}
@misc{theoremdep:log-bound,
author = {Eklavya Sharma},
title = {TheoremDep: Bound on log},
url = {https://sharmaeklavya2.github.io/theoremdep/nodes/bounds/log-bound.html}
}
@article{dietrich1994,
title = {Obtaining clique, cover and coefficient reduction inequalities as {Chvatal-Gomory} inequalities and {Gomory} fractional cuts},
author = {Dietrich, B.L. and Escudero, L.F.},
journal = {European Journal of Operational Research},
volume = {73},
number = {3},
pages = {539-546},
year = {1994},
doi = {10.1016/0377-2217(94)90250-X}
}
@incollection{barany1984uncapacitated,
title={Uncapacitated Lot-Sizing: The Convex Hull of Solutions},
author={Barany, Imre and Roy, Tony Van and Wolsey, Laurence A},
booktitle={Mathematical Programming at Oberwolfach II},
pages={32--43},
year={1984},
publisher={Springer},
doi={10.1007/BFb0121006}
}
@misc{se.math.73080,
title = {Variance of sample variance?},
author = {user940},
howpublished = {Mathematics Stack Exchange},
year = {2011},
month = {October},
url = {https://math.stackexchange.com/q/73080}
}
@misc{wikipedia.sum-of-normal,
title={Sum of normally distributed random variables},
howpublished={Wikipedia},
url={https://en.wikipedia.org/wiki/Sum_of_normally_distributed_random_variables}
}
@misc{duke.stat.mean-var-indep,
title={Show {$\overline{X}$} and {$S^2$} are independent},
howpublished={Duke STA 611 Fall 2019 Lecture 12},
url={http://www2.stat.duke.edu/courses/Fall19/sta611.01/Lecture/lec12_mean_var_indep.pdf}
}
@misc{se.math.50598,
title = {Proof of the independence of the sample mean and sample variance},
author = {\href{https://math.stackexchange.com/users/12806/guy}{guy}},
howpublished = {Mathematics Stack Exchange},
url = {https://math.stackexchange.com/q/50598}
}
@misc{psu.stat414.svar,
title={Sampling Distribution of Sample Variance},
howpublished={Penn State STAT 414},
url={https://online.stat.psu.edu/stat414/lesson/26/26.3}
}
@article{welch,
title = {The Generalization of `Student's' Problem when Several Different Population Variances are Involved},
author = {B. L. Welch},
journal = {Biometrika},
number = {1/2},
pages = {28--35},
publisher = {Oxford University Press, Biometrika Trust},
volume = {34},
year = {1947},
doi = {10.2307/2332510}
}
@misc{se.math.3189589,
title = {Proof and precise formulation of {Welch-Satterthwaite} equation},
author = {\href{https://math.stackexchange.com/users/582792/dgk}{DGK}},
howpublished = {Mathematics Stack Exchange},
url = {https://math.stackexchange.com/q/3189589}
}
@misc{psu.stat415.regci,
title={Confidence Intervals for Regression Parameters},
howpublished={Penn State STAT 415},
url={https://online.stat.psu.edu/stat415/lesson/7/7.5}
}