# All Questions

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### What do the terms "nearly-optimal rate", "near-minimax rate", "minimax optimal rate" and "minimax rate" mean in the context of posterior consistency?

Definition: A sequence $\epsilon_n$ is a posterior contraction rate at the parameter $θ_0$ if $$\Pi_n(θ: d(θ, θ_0) ≥ M_n \epsilon_n| X^{(n)}) → 0$$ in $P^{(n)}_{θ_0}$-probability, for every $M_n → ∞$. ...
• 222
1 vote
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### Take into account uncertainty in ground-truth in a classification

I need to evaluate the accuracy of a prediction model (binary classification), given that I have some kind of uncertainty on the ground truth measurement. The model predicts the occurrence of an event ...
• 61
31 views
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### Clustering by using Locality sensitive hashing *after* Random projection

It is well known that Random Projection (RP) is tightly linked to Locality Sensitive Hashing (LSH). My goal is to cluster a large number of points lying in a $d$-dimensional Euclidean space, where $d$ ...
1 vote
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### Deriving ADF unit root test form for the time series with quadratic deterministic trend

I have the following time series process $y_t$ $$\Delta y_t = \delta + \gamma t + \epsilon_t$$ where $e_t$ is white noise process with the variance of $\sigma^2$. I guess that whereas $\Delta y_t$ is ...
• 976
29 views
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### Spearman's partial correlation in R : ppcor or RVAideMemoire?

which is preferable for Spearman's ? RVAideMemoire::pcor.test() or ppcor::pcor.test() ? I'm running a set of partial ...
• 471
536 views
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### Sample size vs Number of samples in calculating standard error

Suppose a survey was given to 100 people (the response is just a number between 0 and 1) and only the mean was reported. So 1 sample was taken with n = 100. Now suppose this was repeated 20 times. ...
• 41
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### justification for 'population prediction intervals'?

Suppose we are living in a frequentist world and want to compute confidence intervals on some quantity that is a complicated function of the parameters $q_1 = f(\Theta)$ (i.e., there's no closed-form ...
• 36.2k
125 views
+100

### What kind of study design is this and what kind of statistical analysis should be suitable?

I plan to conduct a study in which respondents will be asked to solve total 6 puzzles together. Is there a specific study design (name) for this? The scenario would be: First, ...
1 vote
Let $y_1, y_2, \ldots , y_N$ be arbitrary real numbers and suppose a process of simple random sampling without replacement that selects $n$ out of $N$ elements. Then suppose that these $N$ elements ...