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-1 votes
1 answer
69 views

Strategy optimization based on biased data

This is a question from high-frequency trading (HFT). A market maker sends transaction requests to the exchange's server via a certain number of gateways. At these gateways the requests incur some ...
sakuragaoka2001's user avatar
1 vote
0 answers
70 views

Find Kullback-Leibler distance between two densities [closed]

can someone help me with this exercise? (look at the image). How can I find Kullback-Leibler distance between this two densitie? I have no idea how to arrive at the solution. Every suggestion is ...
Empty's user avatar
  • 11
-2 votes
1 answer
214 views

Can the same dataset be described as Chaotic & Pareto/ Power law distribution?

I'm trying to abstract the mathematical part of the problem as much as possible before the details follow, There's this dynamic data set that's $O(2^{32})$, a recent result described it as a power-law ...
ShAr's user avatar
  • 5
-1 votes
1 answer
60 views

Linear operator over a simplex space in a multinomial distribution parameter estimation problem

This is actually a variant of a well-known problem of how the parameters of a multinomial distribution can be estimated by maximum likelihood, and this arises from a final year project I undertook ...
Hephaes's user avatar
1 vote
1 answer
49 views

Represent multivariate data [closed]

I am not sure if this is the best place for my question. Please delete if it is not, but I would really appreciate some suggestions. I want to graphically represent multivariate data. I have 7 ...
Jonathan F's user avatar
1 vote
2 answers
3k views

What is the uncertainty on the (Pearson) correlation coefficient?

Do you know what is the uncertainty on the Pearson correlation coefficient as a function of the uncertainty on the measurement in the data set. I know of an expression giving the uncertainty related ...
user655870's user avatar
1 vote
1 answer
60 views

Performing Statistical Analysis on a Data Set With a lot of Null Responses

I am currently trying to perform some statistical analysis on some data to see if there is any meaningful conclusion for a research project I am working on; however, I have come across a problem. ...
Stephen Fratamico's user avatar
2 votes
1 answer
117 views

Quantifying an increasing spacing between data points

Is there a measure or statistic that could quantify a steady increase in the spacing between data points in a time series? For instance, in the figure, the points are clustered and dense near 0, but ...
Raskol's user avatar
  • 167
37 votes
5 answers
7k views

Inference using Topological Data Analysis: Is it worth it for a regular statistician to learn TDA?

After having read Gunnar Carlsson's Topology and Data I feel enthusiastic to use some topological data analysis (TDA) methods in my current research, mostly in social sciences. We often handle huge ...
Mauricio Tec's user avatar
21 votes
5 answers
4k views

Easier reference for material like Diaconis's "Group representations in probability and statistics"

I'm teaching a class on the representation theory of finite groups at the advanced undergrad level. One of the things I'd like to talk about, or possibly have a student do any independent project on ...
Ben Webster's user avatar
  • 44.7k
2 votes
2 answers
1k views

Appropriate histogram comparison distance measure

I am working with hyperspectral image data in R, so I have subset an image to a region of 5000 pixels, each containing a vector 254 bands in length. I would like to cluster this data in order to try ...
EJA's user avatar
  • 23
2 votes
1 answer
591 views

correlation for three variables? [closed]

suppose we have three variables here, x,y, z now, what we know is that the correlation between x and z is 0.6, the correlation between y and z is 0.65. Here is the question, is there any formula to ...
user33817's user avatar
1 vote
2 answers
1k views

Interpolating a "manifold" between two points

Edit: I have reworded the question. This may be a basic question but I am having trouble figuring out the correct answer. I want to find a local coordinate chart that fits a d-dimensional ...
Chirag Lakhani's user avatar
5 votes
2 answers
2k views

Solving for Moore Penrose pseudo inverse

I have a system to solve, set up as : $$Ax = b$$ with a square rank deficient matrix $A$. The paper suggests to use a Moore Penrose pseudo inverse, which in my case can be computed using the ...
WhitAngl's user avatar
  • 481
3 votes
1 answer
731 views

name for $\underset{x}{\operatorname{argmin}} \displaystyle\sum\limits_{i=1}^n |x_i - x|$

Given a real-valued data set $ x_1, \dots, x_n $, what do you call the quantity $$\underset{x}{\operatorname{argmin}} \displaystyle\sum\limits_{i=1}^n |x_i - x|$$ This seems like a pretty basic ...
Diogenes Creosote's user avatar
2 votes
0 answers
858 views

Classical Multidimensional Scaling

Hi, I am doing an MDS with a distance matrix coming from geodesic distances between points X on a 3d mesh (ie., not euclidean distances), and try to find points Y in euclidean space which best ...
WhitAngl's user avatar
  • 481
7 votes
3 answers
57k views

Correlation between 3 variables

For correlation measurement betweeen 2 variables, I use Pearson formula. What formula can use to find degree of correlation between 3 variables ? My variabes are not symmetric: The correlation in ...
Andrei's user avatar
  • 195