References

  1. S. Abramsky & A. Brandenburger (2014): An Operational Interpretation of Negative Probabilities and No-Signalling Models. In: F. van Breugel, E. Kashefi, C. Palamidessi & J. Rutten: Horizons of the Mind. A Tribute to Prakash Panangaden, Lect. Notes Comp. Sci. 8464. Springer, Berlin, pp. 59–75, doi:10.1007/978-3-319-06880-0_3.
  2. A. Blass & Y. Gurevich (2021): Negative probabilities: what are they for?. Journal of Physics A: Mathematical and Theoretical 54(31), pp. 315303, doi:10.1088/1751-8121/abef4d.
  3. K. Cho & B. Jacobs (2019): Disintegration and Bayesian inversion via string diagrams. Math. Struct. in Comp. Sci. 29(7), pp. 938–971, doi:10.1017/s0960129518000488.
  4. F. Clerc, F. Dahlqvist, V. Danos & I. Garnier (2017): Pointless learning. In: J. Esparza & A. Murawski: Foundations of Software Science and Computation Structures, Lect. Notes Comp. Sci. 10203. Springer, Berlin, pp. 355–369, doi:10.1007/978-3-662-54458-7_21.
  5. P. Diaconis (1977): Finite forms of De Finetti's theorem on exchangeability. Synthese 36(2), pp. 271–281, doi:10.1007/BF00486116.
  6. W. Dong-Bing (1993): Dual bases of a Bernstein polynomial basis on simplices. Computer aided geometric design 10(6), pp. 483–489, doi:10.1016/0167-8396(93)90025-X.
  7. R. Feynman (1987): Negative Probability. In: B. Hiley & F. Peat: Quantum Implications, Essays in Honor of David Bohm. Routledge and Kegan Paul, London, pp. 235–246, doi:10.1063/1.2811503.
  8. T. Fritz (2020): A synthetic approach to Markov kernels, conditional independence, and theorems on sufficient statistics. Advances in Math. 370, pp. 107239, doi:10.1016/J.AIM.2020.107239.
  9. J. Hoschek & D. Lasser (1993): Fundamentals of computer aided geometric design. AK Peters, Ltd..
  10. B. Jacobs (2016): Affine Monads and Side-Effect-Freeness. In: I. Hasuo: Coalgebraic Methods in Computer Science (CMCS 2016), Lect. Notes Comp. Sci. 9608. Springer, Berlin, pp. 53–72, doi:10.1007/978-3-319-40370-0_5.
  11. B. Jacobs (2018): From Probability Monads to Commutative Effectuses. Journ. of Logical and Algebraic Methods in Programming 94, pp. 200–237, doi:10.1016/j.jlamp.2016.11.006.
  12. B. Jacobs (2020): A Channel-Based Perspective on Conjugate Priors. Math. Struct. in Comp. Sci. 30(1), pp. 44–61, doi:10.1017/S0960129519000082.
  13. B. Jacobs (2021): From Multisets over Distributions to Distributions over Multisets. In: Logic in Computer Science. IEEE. Computer Science Press, doi:10.1109/lics52264.2021.9470678.
  14. B. Jacobs (2022): Urns & Tubes. Compositionality 4(4), doi:10.32408/compositionality-4-4.
  15. B. Jacobs & S. Staton (2020): De Finetti's construction as a categorical limit. In: D. Petrişan & J. Rot: Coalgebraic Methods in Computer Science (CMCS 2020), Lect. Notes Comp. Sci. 12094. Springer, Berlin, pp. 90–111, doi:10.1007/978-3-030-57201-3_6.
  16. E. Jaynes (1982): Some applications and extensions of the De Finetti representation theorem. Bayesian Inference and Decision Techniques with Applications: Essays in Honor of Bruno de Finetti. North-Holland Publishers.
  17. B. Jüttler (1998): The dual basis functions for the Bernstein polynomials. Adv. Computational Mathematics 8, pp. 345–352, doi:10.1023/A:1018912801267.
  18. G. Kerns & G. Székely (2006): De Finettiā€™s Theorem for abstract finite exchangeable sequences. Journal of Theoretical Probability 19(3), pp. 589–608, doi:10.1007/s10959-006-0028-z.
  19. G. Lorentz (2013): Bernstein polynomials. American Mathematical Soc..
  20. G. Meissner & M. Burgin (2011): Negative Probabilities in Financial Modeling. Wilmott Magazine, doi:10.2139/ssrn.1773077.
  21. P. Panangaden (2009): Labelled Markov Processes. Imperial College Press, London, doi:10.1142/p595.
  22. G. Székely (2005): Half of a Coin: Negative Probabilities. Wilmott Magazine, pp. 66–68.
  23. H. Tijms & K. Staats (2007): Negative probabilities at work in the M/D/1 queue. Probability in the Engineering and Informational Sciences 21(1), pp. 67–76, doi:10.1017/S0269964807070040.
  24. K. Zhao & J. Sun (1988): Dual bases of multivariate Bernstein-Bézier polynomials. Computer aided geometric design 5(2), pp. 119–125, doi:10.1016/0167-8396(88)90026-X.

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