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### Instructions
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If you cite **The Book of Statistical Proofs** in your scientific work, you can do so as follows:
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If you cite **The Book of Statistical Proofs** in your scientific work, it is best practice to reference the Zenodo DOI (10.5281/zenodo.4305949) which always resolves the latest version of the **StatProofBook**. This could e.g. look as follows:
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* [GitHub username] (YYYY). Proof: [Title of the proof]. *The Book of Statistical Proofs*, Proof #NNN. URL: [https://statproofbook.github.io/P/[shortcut]](https://statproofbook.github.io/P/-temp-)
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* Soch, Joram, et al. (2023). StatProofBook/StatProofBook.github.io: StatProofBook 2022 (Version 2022). Zenodo. <https://doi.org/10.5281/ZENODO.4305949>
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* JoramSoch (2019). Proof: Linear transformation theorem for the multivariate normal distribution. *The Book of Statistical Proofs*, Proof #1. URL: <https://statproofbook.github.io/P/mvn-ltt>
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Alternatively, you can also directly cite a proof from the archive in your article:
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* [GitHub username] (YYYY). Proof: [Title of the proof]. *The Book of Statistical Proofs*, Proof #NNN. URL: [https://statproofbook.github.io/P/[shortcut]](https://statproofbook.github.io/P/-temp-); DOI: [10.5281/zenodo.4305949](https://doi.org/10.5281/zenodo.4305949).
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* majapavlo (2022). Proof: Probability density function of the log-normal distribution. *The Book of Statistical Proofs*, Proof #310. URL: <https://statproofbook.github.io/P/lognorm-pdf>; DOI: [10.5281/zenodo.4305949](https://doi.org/10.5281/zenodo.4305949).
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Alternatively, you may also include a footnote with the URL into your article:
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* See: [https://statproofbook.github.io/P/[shortcut]](https://statproofbook.github.io/P/-temp-)
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* See: <https://statproofbook.github.io/P/mvn-ltt>
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* See: <https://statproofbook.github.io/P/lognorm-pdf>
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<br>
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### Hall of Fame
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Here is a list of scientific articles that have so far [cited content from](https://scholar.google.com/scholar?hl=en&q="statproofbook.github.io") **The Book of Statistical Proofs** (last update: 2024-01-12):
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Here is a list of scientific articles that have so far cited content from **The Book of Statistical Proofs**:
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* Awad, P., Chan, J. H. H., Millon, M., Courbin, F., & Paic, E. (2023a). Probing compact dark matter objects with microlensing in gravitationally lensed quasars. Astronomy & Astrophysics, 673, A88. <https://doi.org/10.1051/0004-6361/202245615>
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* Awad, P., Chan, J. H. H., Millon, M., Courbin, F., & Paic, E. (2023a). Probing compact dark matter objects with microlensing in gravitationally lensed quasars. Astronomy & Astrophysics, 673, A88. https://doi.org/10.1051/0004-6361/202245615
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* Awad, P., Chan, J. H. H., Millon, M., Courbin, F., & Paic, E. (2023b). Probing compact dark matter objects with microlensing in gravitationally lensed quasars. <https://doi.org/10.48550/ARXIV.2304.01320>
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* Awad, P., Chan, J. H. H., Millon, M., Courbin, F., & Paic, E. (2023b). Probing compact dark matter objects with microlensing in gravitationally lensed quasars. https://doi.org/10.48550/ARXIV.2304.01320
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* Bilton, M. A. (2022). Use of Surrogate Models for Continuous Optimal Experimental Design [Thesis, ResearchSpace@Auckland]. <https://researchspace.auckland.ac.nz/handle/2292/61541>
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* Bilton, M. A. (2022). Use of Surrogate Models for Continuous Optimal Experimental Design [Thesis, ResearchSpace@Auckland]. https://researchspace.auckland.ac.nz/handle/2292/61541
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* Coupechoux, J.-F., Chierici, R., Hansen, H., Margueron, J., Somasundaram, R., & Sordini, V. (2023). Impact of O4 future detections on the determination of the dense matter equations of state. Physical Review D, 107(12), 124006. <https://doi.org/10.1103/PhysRevD.107.124006>
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* Coupechoux, J.-F., Chierici, R., Hansen, H., Margueron, J., Somasundaram, R., & Sordini, V. (2023). Impact of O4 future detections on the determination of the dense matter equations of state. Physical Review D, 107(12), 124006. https://doi.org/10.1103/PhysRevD.107.124006
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* Dam, T., Stenger, P., Schneider, L., Pajarinen, J., D’Eramo, C., & Maillard, O.-A. (2023). Monte-Carlo tree search with uncertainty propagation via optimal transport. <https://doi.org/10.48550/ARXIV.2309.10737>
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* Dam, T., Stenger, P., Schneider, L., Pajarinen, J., D’Eramo, C., & Maillard, O.-A. (2023). Monte-Carlo tree search with uncertainty propagation via optimal transport. https://doi.org/10.48550/ARXIV.2309.10737
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* de la Torre, J. (2023). Autocodificadores Variacionales (VAE) Fundamentos Teóricos y Aplicaciones. <https://doi.org/10.48550/ARXIV.2302.09363>
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* de la Torre, J. (2023). Autocodificadores Variacionales (VAE) Fundamentos Teóricos y Aplicaciones. https://doi.org/10.48550/ARXIV.2302.09363
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* Děd, T. (2023). Konstrukce modelu pro překlad záznamu znakového jazyka s využitím neuronových sítí. <https://dspace.cvut.cz/handle/10467/111309>
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* Děd, T. (2023). Konstrukce modelu pro překlad záznamu znakového jazyka s využitím neuronových sítí. https://dspace.cvut.cz/handle/10467/111309
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* Fajar, M., Setiawan, & Iriawan, N. (2023). The Adjusted SNR and It’s Application for Selection Lorenz Function of Income Inequality Analysis. Procedia Computer Science, 227, 1–16. <https://doi.org/10.1016/j.procs.2023.10.497>
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* Fajar, M., Setiawan, & Iriawan, N. (2023). The Adjusted SNR and It’s Application for Selection Lorenz Function of Income Inequality Analysis. Procedia Computer Science, 227, 1–16. https://doi.org/10.1016/j.procs.2023.10.497
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* Görner, M., Dicke, P. W., & Thier, P. (2023). Is there a brain area dedicated to socially guided spatial attention? [Preprint]. Neuroscience. <https://doi.org/10.1101/2023.01.20.524674>
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* Görner, M., Dicke, P. W., & Thier, P. (2023). Is there a brain area dedicated to socially guided spatial attention? [Preprint]. Neuroscience. https://doi.org/10.1101/2023.01.20.524674
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* Heußen, S., Winter, D., Rispler, M., & Müller, M. (2023). Dynamical subset sampling of quantum error correcting protocols. <https://doi.org/10.48550/ARXIV.2309.12774>
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* Heußen, S., Winter, D., Rispler, M., & Müller, M. (2023). Dynamical subset sampling of quantum error correcting protocols. https://doi.org/10.48550/ARXIV.2309.12774
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* Ivănescu, L., & O’Neill, N. T. (2023). Multi-star calibration in starphotometry. Atmospheric Measurement Techniques, 16(24), 6111–6121. <https://doi.org/10.5194/amt-16-6111-2023>
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* Ivănescu, L., & O’Neill, N. T. (2023). Multi-star calibration in starphotometry. Atmospheric Measurement Techniques, 16(24), 6111–6121. https://doi.org/10.5194/amt-16-6111-2023
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* Larsen, A. H. (2023). Fitting multiple small-angle scattering datasets simultaneously: On the optimal use of priors and weights. <https://doi.org/10.48550/ARXIV.2311.06408>
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* Larsen, A. H. (2023). Fitting multiple small-angle scattering datasets simultaneously: On the optimal use of priors and weights. https://doi.org/10.48550/ARXIV.2311.06408
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* Liu, X., Yuan, J., An, B., Xu, Y., Yang, Y., & Huang, F. (2023). C-Disentanglement: Discovering Causally-Independent Generative Factors under an Inductive Bias of Confounder. <https://doi.org/10.48550/ARXIV.2310.17325>
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* Liu, X., Yuan, J., An, B., Xu, Y., Yang, Y., & Huang, F. (2023). C-Disentanglement: Discovering Causally-Independent Generative Factors under an Inductive Bias of Confounder. https://doi.org/10.48550/ARXIV.2310.17325
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* Loukas, O., & Chung, H. R. (2023). Total Empiricism: Learning from Data. <https://doi.org/10.48550/ARXIV.2311.08315>
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* Loukas, O., & Chung, H. R. (2023). Total Empiricism: Learning from Data. https://doi.org/10.48550/ARXIV.2311.08315
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* Mulder, E. (2023). Fast square-free decomposition of integers using class groups. <https://doi.org/10.48550/ARXIV.2308.06130>
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* Mulder, E. (2023). Fast square-free decomposition of integers using class groups. https://doi.org/10.48550/ARXIV.2308.06130
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* Mustapa, N. A., Senawi, A., & Liang, C. Z. (2023). Feature Selection Using Law of Total Variance with Fast Correlation-Based Filter. 2023 IEEE 8th International Conference On Software Engineering and Computer Systems (ICSECS), 35–40. <https://doi.org/10.1109/ICSECS58457.2023.10256367>
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* Mustapa, N. A., Senawi, A., & Liang, C. Z. (2023). Feature Selection Using Law of Total Variance with Fast Correlation-Based Filter. 2023 IEEE 8th International Conference On Software Engineering and Computer Systems (ICSECS), 35–40. https://doi.org/10.1109/ICSECS58457.2023.10256367
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* Mustapa, N. A., Senawi, A., & Wei, H.-L. (2023). Supervised Feature Selection based on the Law of Total Variance. MEKATRONIKA, 5(2), 100–110. <https://doi.org/10.15282/mekatronika.v5i2.9998>
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* Mustapa, N. A., Senawi, A., & Wei, H.-L. (2023). Supervised Feature Selection based on the Law of Total Variance. MEKATRONIKA, 5(2), 100–110. https://doi.org/10.15282/mekatronika.v5i2.9998
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* Öz, H. N. (2023, September 26). New Risk Measures: Magnitude and Propensity Approach. <https://thesis.unipd.it/handle/20.500.12608/52276>
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* Öz, H. N. (2023, September 26). New Risk Measures: Magnitude and Propensity Approach. https://thesis.unipd.it/handle/20.500.12608/52276
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* Özkaya, E., Rottmayer, J., & Gauger, N. R. (2024). Gradient Enhanced Surrogate Modeling Framework for Aerodynamic Design Optimization. In AIAA SCITECH 2024 Forum. <https://doi.org/10.2514/6.2024-2670>
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* Özkaya, E., Rottmayer, J., & Gauger, N. R. (2024). Gradient Enhanced Surrogate Modeling Framework for Aerodynamic Design Optimization. In AIAA SCITECH 2024 Forum. https://doi.org/10.2514/6.2024-2670
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* Šimon, S. (2022). Metody návrhu experimentů pro tvorbu zjednodušeného modelu okraje plasmatu [B.S. thesis, České vysoké učení technické v Praze. Vypočetní a informační centrum.]. <https://dspace.cvut.cz/handle/10467/101041>
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* Šimon, S. (2022). Metody návrhu experimentů pro tvorbu zjednodušeného modelu okraje plasmatu [B.S. thesis, České vysoké učení technické v Praze. Vypočetní a informační centrum.]. https://dspace.cvut.cz/handle/10467/101041
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* Smith, I., Ortmann, J., Abbas-Aghababazadeh, F., Smirnov, P., & Haibe-Kains, B. (2023). On the distribution of cosine similarity with application to biology. <https://doi.org/10.48550/ARXIV.2310.13994>
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* Smith, I., Ortmann, J., Abbas-Aghababazadeh, F., Smirnov, P., & Haibe-Kains, B. (2023). On the distribution of cosine similarity with application to biology. https://doi.org/10.48550/ARXIV.2310.13994
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* Soch, J. (2020). Distributional Transformation Improves Decoding Accuracy When Predicting Chronological Age From Structural MRI. Frontiers in Psychiatry, 11, 604268. <https://doi.org/10.3389/fpsyt.2020.604268>
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* Soch, J. (2020). Distributional Transformation Improves Decoding Accuracy When Predicting Chronological Age From Structural MRI. Frontiers in Psychiatry, 11, 604268. https://doi.org/10.3389/fpsyt.2020.604268
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* Soch, J. (2023). Searchlight-based trial-wise fMRI decoding in the presence of trial-by-trial correlations [Preprint]. Neuroscience. <https://doi.org/10.1101/2023.12.05.570090>
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* Soch, J. (2023). Searchlight-based trial-wise fMRI decoding in the presence of trial-by-trial correlations [Preprint]. Neuroscience. https://doi.org/10.1101/2023.12.05.570090
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* Soch, J., Richter, A., Schott, B. H., & Kizilirmak, J. M. (2022). A novel approach for modelling subsequent memory reports by separating decidedness, recognition and confidence [Preprint]. PsyArXiv. <https://doi.org/10.31234/osf.io/u5t82>
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* Soch, J., Richter, A., Schott, B. H., & Kizilirmak, J. M. (2022). A novel approach for modelling subsequent memory reports by separating decidedness, recognition and confidence [Preprint]. PsyArXiv. https://doi.org/10.31234/osf.io/u5t82
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* Subramonian, A., Sagun, L., Chang, K.-W., & Sun, Y. (2022). Group Excess Risk Bound of Overparameterized Linear Regression with Constant-Stepsize SGD. Workshop on Trustworthy and Socially Responsible Machine Learning, NeurIPS 2022. <https://openreview.net/forum?id=TRpJAAK3o0X>
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* Subramonian, A., Sagun, L., Chang, K.-W., & Sun, Y. (2022). Group Excess Risk Bound of Overparameterized Linear Regression with Constant-Stepsize SGD. Workshop on Trustworthy and Socially Responsible Machine Learning, NeurIPS 2022. https://openreview.net/forum?id=TRpJAAK3o0X
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* Vinaroz, M., & Park, M. (2021). Differentially private stochastic expectation propagation (DP-SEP). <https://doi.org/10.48550/ARXIV.2111.13219>
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* Vinaroz, M., & Park, M. (2021). Differentially private stochastic expectation propagation (DP-SEP). https://doi.org/10.48550/ARXIV.2111.13219
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* Vinaroz, M., & Park, M. (2022). Differentially Private Stochastic Expectation Propagation. Transactions on Machine Learning Research. <https://openreview.net/forum?id=e5ILb2Nqst>
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* Vinaroz, M., & Park, M. (2022). Differentially Private Stochastic Expectation Propagation. Transactions on Machine Learning Research. https://openreview.net/forum?id=e5ILb2Nqst
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* Zeng, H., Lyu, H., Hu, D., Xia, Y., & Luo, J. (2023). Mixture of Weak & Strong Experts on Graphs. <https://doi.org/10.48550/ARXIV.2311.05185>
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* Zeng, H., Lyu, H., Hu, D., Xia, Y., & Luo, J. (2023). Mixture of Weak & Strong Experts on Graphs. https://doi.org/10.48550/ARXIV.2311.05185
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retrieved from: [Google](https://scholar.google.com/scholar?hl=en&q="statproofbook.github.io") [Scholar](https://scholar.google.com/scholar?oi=bibs&hl=en&cites=10961619650003463573); last update: 2024-01-12

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