92 Help me understand Bayesian prior and posterior distributions 2013-05-09T13:51:56.333

56 What is an "uninformative prior"? Can we ever have one with truly no information? 2012-01-03T05:12:15.807

55 Why is the Jeffreys prior useful? 2012-10-08T22:57:55.327

39 Why would someone use a Bayesian approach with a 'noninformative' improper prior instead of the classical approach? 2012-05-02T22:47:12.283

38 Eliciting priors from experts 2010-07-19T19:12:12.510

25 Why are Jeffreys priors considered noninformative? 2011-02-22T23:01:36.607

23 Is a vague prior the same as a non-informative prior? 2011-02-22T14:49:46.453

23 History of uninformative prior theory 2016-11-18T15:56:59.147

21 Weakly informative prior distributions for scale parameters 2011-01-24T18:02:29.257

19 Posterior very different to prior and likelihood 2014-02-13T17:20:08.910

19 Why is Lasso penalty equivalent to the double exponential (Laplace) prior? 2015-11-17T00:28:51.923

18 Bayesian batting average prior 2013-01-17T01:28:28.760

17 Frequentism and priors 2012-06-05T16:04:59.127

17 Natural interpretation for LDA hyperparameters 2012-09-17T01:17:03.197

17 How can an improper prior lead to a proper posterior distribution? 2014-05-14T23:32:10.623

17 Why is Laplace prior producing sparse solutions? 2015-10-16T08:10:35.530

17 What is the relation behind Jeffreys Priors and a variance stabilizing transformation? 2016-05-08T04:19:21.230

17 What is/are the implicit priors in frequentist statistics? 2016-11-25T02:08:44.257

16 Why is a $p(\sigma^2)\sim\text{IG(0.001, 0.001)}$ prior on variance considered weak? 2011-03-10T03:00:48.210

16 What is the problem with empirical priors? 2015-06-14T15:28:06.553

16 How do Bayesian Statistics handle the absence of priors? 2018-02-02T16:55:52.230

15 What is the relationship between sample size and the influence of prior on posterior? 2012-06-13T16:18:52.793

15 Is there a Bayesian interpretation of linear regression with simultaneous L1 and L2 regularization (aka elastic net)? 2017-06-02T17:03:13.383

14 How is the bayesian framework better in interpretation when we usually use uninformative or subjective priors? 2011-08-23T19:16:57.777

14 What prior distributions could/should be used for the variance in a hierarchical bayesisan model when the mean variance is of interest? 2012-11-04T21:19:38.693

14 Jeffreys prior for multiple parameters 2016-05-12T08:49:23.260

12 What's a good prior distribution for degrees of freedom in a t distribution? 2011-01-24T17:55:40.930

12 Flat, conjugate, and hyper- priors. What are they? 2013-07-30T14:51:40.730

12 Why does nobody use the Bayesian multinomial Naive Bayes classifier? 2014-02-08T08:38:03.410

12 Do Bayesian priors become irrelevant with large sample size? 2016-03-10T14:42:40.240

12 Making a Bayesian prior from a frequentist result 2016-06-06T16:37:32.863

12 What are the properties of a half Cauchy distribution? 2016-10-01T02:16:23.537

11 How to choose prior in Bayesian parameter estimation 2013-12-05T01:39:35.107

11 Negative binomial Jeffreys prior 2014-01-22T11:35:48.527

11 Ridge regression – Bayesian interpretation 2014-04-27T14:16:12.110

11 When should I be worried about the Jeffreys-Lindley paradox in Bayesian model choice? 2015-04-21T13:16:55.220

11 Do statisticians use the Jeffreys' prior in actual applied work? 2015-08-06T23:11:43.683

11 Why I should use Bayesian inference with uninformative prior? 2017-08-04T15:00:43.510

10 You observe k heads out of n tosses. Is the coin fair? 2014-04-29T13:53:20.880

10 Why are there recommendations against using Jeffreys or entropy based priors for MCMC samplers? 2018-02-25T07:31:37.143

9 What is a "Unit Information Prior"? 2012-04-12T04:28:55.427

9 Eliciting priors ... with money! 2012-05-09T00:44:16.893

9 "forgetfulness" of the prior in the Bayesian setting? 2013-01-06T18:11:56.447

9 How does one formalize a prior probability distribution? Are there rules of thumb or tips one should use? 2016-01-11T23:52:05.090

8 Hyperprior distributions for the parameters (scale matrix and degrees of freedom) of a wishart prior to an inverse covariance matrix 2012-08-27T20:36:59.647

8 Bayes factors with improper priors 2012-09-06T14:16:53.773

8 Parameters without defined priors in Stan 2012-09-19T18:44:12.257

8 Neg Binomial and the Jeffreys' Prior 2013-05-04T12:42:24.333

8 Choosing non-informative priors 2013-06-17T13:24:09.563

8 Modeling prior probability as a delta function 2013-12-02T19:27:01.963

8 What is the mathematical difference between using a un-informative prior and a frequentist approach? 2014-09-08T03:26:44.910

8 Selecting priors based on measurement error 2014-10-01T22:05:01.220

8 How does one use Bayes theorem with a continuous prior? 2015-04-21T16:27:18.627

8 Gaussian likelihood + which prior = Gaussian Marginal? 2016-02-19T14:07:16.677

8 Difference between non-informative and improper Priors 2017-06-05T17:30:45.260

7 Bayesian inference for multinomial distribution with asymmetric prior knowledge? 2011-02-09T14:22:32.753

7 Softmax regression bias and prior probabilities for unequal classes 2012-01-23T18:12:24.527

7 A re-formalization of a conjugate prior? 2012-10-13T01:25:53.153

7 How does the beta prior affect the posterior under a binomial likelihood 2013-09-21T20:37:16.160

7 Why not use Beta(1,1) as boundary avoiding prior on a transformed correlation parameter? 2014-02-13T20:03:40.273

7 Deriving the posterior density for a lognormal likelihood and Jeffreys's prior 2014-09-05T09:56:16.737

7 Truncated Von Mises-Fisher distribution 2014-11-11T22:32:45.937

7 Is a spike-and-slab prior a proper prior? 2015-03-21T23:18:05.097

7 Model with admissible estimator(s) that are not the Bayes estimator for any choice of prior? 2017-12-21T15:04:36.263

6 Non-informative priors for the AR(1) model 2011-01-19T01:49:58.940

6 What does $d$ mean in this notation of the "usual noninformative prior of $\mu_i$ and $\sigma_i$?" 2011-03-27T17:46:18.863

6 Allow data to dictate the priors and then run the model using these priors? (e.g., data-driven priors from same data set) 2011-09-22T03:26:05.723

6 Priors for log-normal models 2012-06-13T11:43:55.367

6 A question about parameters of Gamma distribution in Bayesian econometrics 2012-06-18T08:27:02.013

6 How do I complete the square with normal likelihood and normal prior? 2012-07-31T15:16:03.787

6 How concerned should I be about the appropriateness of my prior? 2013-01-16T14:43:18.167

6 How to specify the Wishart distribution scale matrix 2013-08-02T09:00:53.923

6 Which distributions are parameterization invariant when based on the Jeffreys prior? 2013-09-13T20:38:22.803

6 What exactly is weakly informative prior? 2013-10-22T16:22:35.387

6 Example of "real life" use of Bayesian inference on $\mu$ from a normal distribution? 2014-01-14T22:10:54.850

6 Hyper-prior for negative binomial in hierarchical model using JAGS/BUGS 2014-04-23T19:37:54.090

6 Explanation that the prior predictive (marginal) distribution follows from prior and sampling distributions 2014-12-31T15:24:42.700

6 Jeffreys Prior for normal distribution with unknown mean and variance 2015-06-09T18:48:45.797

6 Why does probabilistic PCA use Gaussian prior over latent variables? 2016-01-12T10:08:18.380

6 Incorporating Prior Class Probability Distribution in Logistic Regression 2016-03-01T20:15:23.067

6 Examples of usage of community of priors or why aren't they used more commonly? 2016-03-16T15:03:13.420

6 Are there circumstances in which BIC is useful and AIC is not? 2016-09-29T18:50:04.493

6 How to find the prior distribution in De Finetti Representation Theorem? 2016-12-08T17:32:22.143

5 Jeffreys prior for geometric distribution? 2011-03-27T01:37:04.537

5 The unit information prior and its BIC approximation 2012-04-12T06:38:21.937

5 What is the difference between "priors" and "likelihood"? 2012-05-19T22:48:26.617

5 Tips and tricks for getting good parameter estimates using Bayesian nonlinear regression 2012-05-20T16:21:05.663

5 Use the improper prior $p(v) \propto 1/v$ into Jags 2013-11-04T08:03:10.103

5 half-cauchy prior for scale parameter 2013-11-12T08:52:09.753

5 Could prior elicitation by actually drawing the density of the prior be sensible? Has it been done/discussed? 2014-01-17T15:03:03.710

5 Log odds as prior 2014-03-14T16:13:59.700

5 What does it mean to integrate over the posterior? 2014-06-23T01:52:00.113

5 MCMC packages in R 2014-09-07T09:55:57.467

5 How does one interpret the distribution over parameters in bayesian estimation? 2014-09-10T17:31:41.227

5 Prior for the coefficients of a linear regression model 2015-01-26T19:40:26.300

5 How is data generated in the Bayesian framework and what is the nature on the parameter that generates the data? 2015-01-28T23:06:10.530

5 AR(1) model - which prior to use? 2015-06-19T12:00:20.500

5 Using empirical priors in PyMC 2015-06-24T06:18:51.153

5 How to perform a sensitivity analysis in Bayesian statistics? 2015-10-24T19:46:39.037