Here, one is interested in controlling the variance of a linear combination of a fixed number of consecutive interlacing gaps , where the are arbitrary deterministic coefficients. An application of the triangle and Cauchy-Schwarz inequalities, combined with the previous moment bounds on gaps, shows ...
PS This blog,. like human understanding and real deterministic science, will always be a Work In Progress. No science is settled, so all is questionable. Unless it’s a deliberately contrived lie as with climate action, and people profit from its belief, so it cannot be allowed to change....
change detectiontask, in which participants respond on the presence or absence of a change to a probed item (Fig.1A). This task was one of the first used to measure limits in visual working memory capacity (Luck & Vogel,1997; Pashler,1988), and continues to be popular because it provide...
Probabilities of specific target outcomes are ideally expressed in a numeric format. Numbers are precise and unambiguous; they can be derived from statistics and formal computations and can, in turn, be used as input to further calculations. But numeric estimates may also be attached to outcomes t...
where is the eigenvalue of the top left minor of , and is in the bulk region for some fixed . To get the desired result, one needs some non-trivial correlation decay in for these statistics. If one was working with eigenvalue gaps rather than interlacing results, then such correlation de...
I would argue, give the same output given the same input (i.e. be deterministic; stochastic estimators can be represented by deterministic but measure-valued functions). A less typical example would be to map a picture of a human face to an emoji, in which case the estimator is emoji-val...
Yulia Marchenko (StataCorp) September 12, 2024 17 Professional statistical software development Professional statistical software development Reproducibility Numerical reproducibility The ability to produce the same results from a deterministic (possibly iterative) procedure repeatedly. The same algorithm should ...
What does this mean? Could be noise, could be gargling altering the microbiome or irritating the throat, could be that the control group ran out of people to get sick. Or perhaps some secret fourth thing. None of the differences in symptoms-once-ill were significant to p<0.05, possibly as...
(1933) who used it to describe the unification of theoretical and empirical quantitative analysis in economics with respect to statistics and other domains of mathematics. The termmachine learning—an even broader field also known asstatistical learning(see Haistie et al.2017) that is not ...
Here, one is interested in controlling the variance of a linear combination of a fixed number of consecutive interlacing gaps , where the are arbitrary deterministic coefficients. An application of the triangle and Cauchy-Schwarz inequalities, combined with the previous moment bounds on gaps, shows ...