Meetings - every other week: time slot for 2022/2023 will be decided later

Organizer: Radek Poleski (email: rpoleski@...)

Date and speaker | Paper/Topic |
---|---|

Oct 2022, ??? |

Paper | Title/topic | Notes |
---|---|---|

Bryan et al. 2007 | "Mapping the Cosmological Confidence Ball Surface" | |

Importance sampling | The method is very important for speeding-up simulations. Description of the method can be found on-line, or in resources suggested by RP. It would be good to show simple working example. | |

Speagle 2019 | "A Conceptual Introduction to Markov Chain Monte Carlo Methods" | Other concepts are also discussed: importance sampling, effective sample size, approximating posterior integrals with grids |

Vitale 2020 | "One, No One, and One Hundred Thousand -- Inferring the properties of a population in presence of selection effects" | Pedagogical introduction to hierarchical Bayesian inference in presence of selection effects; gravitational waves as an example |

Hogg and Forman-Mackey 2017 | "Data analysis recipes: Using Markov chain Monte Carlo" | Good MCMC introduction that has problems to be solved by the reader; discusses convergence, parametrizations etc. |

LIGO and Virgo 2020 | "Population Properties of Compact Objects from the Second LIGO-Virgo Gravitational-Wave Transient Catalog" | gravitational waves - statistical analysis of O3 run that considers a few different models |

Student project | Student can present what statistical analysis they work on, even if it's not finished. It's likely that other participants will give useful suggestions | |

Hsu, Ford, et al. 2018 | "Improving the Accuracy of Planet Occurrence Rates from Kepler Using Approximate Bayesian Computation" | |

Schwarzenberg-Czerny 1996 | "An astronomer's guide to period searching" | short |

probability distributions used for priors | discussion of different probability distributions that are used for priors: beta, Jeffreys, modified Jeffreys etc. | |

Scargle et al. 2013 | " Studies in Astronomical Time Series Analysis. VI. Bayesian Block Representations" | completely new method |

Zechmeister and Kurster 2009 | "The generalised Lomb-Scargle periodogram. A new formalism for the floating-mean and Keplerian periodograms" | |

Hogg, Bovy and Lang 2020 | "Data analysis recipes: Fitting a model to data" | many probelms, e.g., removing outliers or 2D uncertainties; excersices for the reader |

Curran 2014 | "Monte Carlo error analyses of Spearman's rank test" | short one |

Stobie, Ishida and Peacock 1989 | "Distance errors and the stellar luminosity function." | |

Koshimoto and Bennett 2020 | "Evidence of Systematic Errors in Spitzer Microlens Parallax Measurements" | seems to use method similar to V/Vmax |

Tsutomou et al. 2022 | NEW - "High Dimensional Statistical Analysis and its Application to ALMA Map of NGC 253" | noise-reduction principal component analysis (NRPCA) and regularized principal component analysis (RPCA) used; suggested by Kasia Małek |

- mixture models
- accuracy of period determination
- expectation maximization algorithm
- Q-Q plots and Worm plots
- robust fitting
- Bayesian blocks
- Gibbs sampling
- non-negative matrix factorization
- mixture density network
- beta mixture model
- bimodality detection
- dynamic temperature selection for parallel tempering in MCMC
- variational Bayesian methods
- hierarchical Bayesian inference
- Bayesian model selection
- generalised Lomb-Scargle periodogram
- Lucy and Sweeney bias
- gaussian mixture models
- Ve/Va method
- cross-validation
- principial component analysis
- guassian process
- approximate Bayesian computation
- nested sampling
- hierarchical clustering forest
- posterior inverse percentile distribution
- ensemble slice sampling
- Thompson multitaper
- model selection
- statistical evidence
- Lomb-Scargle periododgram