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Corey Yanofsky, Ph.D.

I'm a biostatistician with an interest in financial statistics located in Ottawa, Canada. Philosophically, I'm a Bayesian of the Cox-Jaynes school. In practice I'm a statistical ecumenist whose role models are Michael I. Jordan and Andrew Gelman.


Jun
1
comment What's the problem with model identifiability?
Because if the model isn't identifiable, then the inferences are being driven by the prior. This isn't necessarily a bad thing (as your question points out), but it's always something that's important to know.
May
30
comment What's the problem with model identifiability?
Yes, it's valid -- as valid as Bayesian inference ever is, which is a matter of some dispute. (I say go for it.)
May
20
comment Can Neyman-Pearson lemma apply to the case when simple null and alternative don't belong to the same family of distributions?
@Glen_b and Tim: If "LR Test" is taken to mean a test whose statistic is a (possibly asymptotically) Chi-squared random variable, then the statement is true. That was a big deal in the era before powerful desktops that can simulate random samples from the null. Nowadays one can just code up the simulation and, by repeated sampling, get an arbitrarily accurate approximation of the p-value.
May
20
comment Can Neyman-Pearson lemma apply to the case when simple null and alternative don't belong to the same family of distributions?
"...you don't know the distribution of the likelihood ratio under the null, even asymptotically." That's not such a big concern in a world where you can code up a simulation under the null in less that 20 lines of R.
May
20
comment Can Neyman-Pearson lemma apply to the case when simple null and alternative don't belong to the same family of distributions?
As you say in the question, the proof makes no assumptions about the form of the two distributions. Trust the math.
May
10
revised How to test if two samples are distributed from the same Gaussian process
fixed a copypaste error
May
10
suggested suggested edit on How to test if two samples are distributed from the same Gaussian process
May
6
comment Are the posteriors “different”? How does one discuss the result?
@rbatt, I don't have any references to hand that are directly on point; my thinking here basically echoes that of Andrew Gelman, author of Bayesian Data Analysis (3rd edition soon to be released).
May
6
answered Are the posteriors “different”? How does one discuss the result?
May
2
comment Bayesian analysis with histogram prior. Why draw simulations from the posterior?
Bayesian specialist here. DJE's guess is 100% correct.
Apr
25
comment Likelihood analysis for exponential distribution
"In other words, where $\hat{\beta}_0$ is the MLE for $\beta_0$, will the profile likelihood be given by the following?" Depends what you mean by MLE. The hat notation is usually used for the global MLE. The profile likelihood needs a kind of "conditional" MLE given by $\tilde{\beta}_0 (\beta_1) = \beta_0 \, \mathrm{such \, that} \, \frac{\partial \log L}{\partial \beta_0} = 0,$ whereupon $L_p(\beta_1) = \log L(\tilde{\beta}_0(\beta_1),\beta_1).$
Apr
23
comment Kalman- Bucy filter: prior mean change
Changing the prior mean of $g$ is equivalent to changing the value of $\mu$.
Apr
23
answered Do Bayes factors require multiple comparison correction?
Apr
17
revised Understanding the derivation of an equation in LDA modeling
improved formatting
Apr
17
suggested suggested edit on Understanding the derivation of an equation in LDA modeling
Apr
12
revised Bayesian parameter estimation of a Poisson process with change/no-change observations at irregular intervals
Too tired last night, clearly.
Apr
12
revised Bayesian parameter estimation of a Poisson process with change/no-change observations at irregular intervals
fixed punctuation
Apr
12
revised Bayesian parameter estimation of a Poisson process with change/no-change observations at irregular intervals
had it right the first time
Apr
12
answered Bayesian parameter estimation of a Poisson process with change/no-change observations at irregular intervals
Apr
10
comment complicated model without a huge dataset
Shrinkage just means moving parameter estimates toward zero; so from a certain point of view, model selection, i.e., setting some parameters of the full model to zero, is already a shrinkage approach. From this perspective, one ought to just use the full model, let whatever shrinkage approach one has chosen do its work, and then report when shrunken estimates cannot be distinguished from zero (using a bootstrap CI, perhaps).