Questions on the use of mathematical techniques to extract properties from given data. Consider if your question might be more suited for Cross Validated (stats.SE) instead.

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18 views

Find linear line of data following gaussian distribution

I have a data that following gaussian distribution $x=\{x_1,x_2...x_n\}, p(x) ~is ~N(\mu,\sigma)$ Now, I want to find a linear line fitting all the data such as $y=ax+b$ The line subject to ...
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19 views

meaing of *, # symbol in statistical data

Please refer to the attached graph and explain the meaning of *, *# The above figure is from European Journal of neuroscience. There was no legend or explanation on the symbols.
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10 views

Is Expectation Propagation (EP) affected by the prior?

I understand EP by reading Minka's thesis: http://research.microsoft.com/en-us/um/people/minka/papers/ep/minka-ep-uai.pdf I'm trying to apply it to solve a Bayesian inference problem. However, I'm ...
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1answer
27 views

slope of curve represented by discrete points

I have data which are visualized in this chart: I need to compute slope of increasing / decreasing parts of the curve. I can't use any 2 points because of noise in data. Maybe numerical derivative ...
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1answer
18 views

Problem with significant figures

I know that if I am multiplying/dividing my answer is the least number of significant figure in the data and if I am adding/subtracting my answer is the least number of decimal places i the data but ...
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1answer
41 views

Maths concept for salient point in graph data

I have collected data concerning the total post counts of users in an online forum (see graphic). What I am hoping to do is compare the language of 'first posts' with the language of 'later posts'. ...
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25 views

Simple maths for an algorithm to searching a table to find out if one type of entry has a causal effect upon another type?

I asked this over on StackExchange and was sent over here... I have a database table which is recording two different types of events which seem to be related to one another. It records the date and ...
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1answer
25 views

Given a set of data points, how to use gradient descent to find the minimum in the function that passes from those data points?

I have a function with n parameters. I don't know the formula of the function but I can generate as many data points as I want using the function that I have. My question is, how can I find the set of ...
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1answer
23 views

Correct equation

What is the correct equation which describes the following dates: 270, 180, 135, 112.25, 101.25. I've obtained data whit the equations: 180 + 90 = 270 135 + 45 = 180 112.5 + 22.5 = ...
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13 views

How to compute a “weather” score for repeated trials over time, with a bias for recency

I'm doing some analysis on repeated software tests that can either pass or fail. For each test, I've collected a set of historical (pass/fail, timestamp) records, and I'd like to compute a score to ...
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0answers
16 views

Distance measures for binary data

I was wondering what are some good distance measures for binary data that have the following properties. I know that there are measures like the Jaccard index and the Dice Index, but they don't ...
3
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1answer
47 views

Sigmoid function with separate control of derivative at 0 and sharpness of bend.

For a physical relationship, $f(x)$, I'm trying to model, i have a fairly good determination of some of the boundaries, such that $ f(0) = 0$ $f'(0) = B$ $ \lim_{x\to\infty} f = A $ So far, what I ...
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1answer
47 views

How to appropriately normalize financial data?

I am evaluating a normalization of financial data. Two colleagues feel certain of a certain approach, and I am befuddled. The approach shapes the results how they want (i.e., brings possibly extreme ...
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0answers
15 views

Fit Conditional Probability Given Continuous Response

Given a sample of data, all the techniques aimed to find conditional probabilities of the response variable require that this is dichotomous or at least categorical (see multinomial logistic ...
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3answers
53 views

Analyzing data to determine seasonal indices?

The quarterly sales levels for the past four years of a leading tyre manufacturer are displayed on the table table How to analyze the data to determine the specific seasonal indices,and what ...
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0answers
52 views

Kalman filter with sensors having different sampling rate

I would like to implement Kalman filter scheme with two different kind of sensors - say 9DOF IMU (gyro/accelerometer/magnetometer) and GPS sensor (position/velocity/altitude). Problem is, as i ...
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0answers
21 views

Calculating a smooth 90% limit for differences in a time series

I have $50$ data sets. Each set has three related time series: fast, medium, slow. My end purpose is simple, I want to generate a number that indicates a relative degree of change of the time series ...
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1answer
50 views

Looking for data science-oriented “Applied Maths for dummies” summer school

I'm a PhD candidate who critically lake of maths skills for his data science projects. I'm looking for a summer school that would enable me to take off in this aspects. This could be ...
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2answers
91 views

2D data fitting

I have some numbers as a function of 2 variables: $(x, y) \mapsto z$. I would like to know which function $z=z(x,y)$ best fits my data. Unfortunately, I don't have any hint, I mean, there's no ...
2
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1answer
51 views

Is there a scientific way to assign weights to historical data?

This is a common question I usually face while processing historical data. I have year on year data of an event for the past N years.I would like to assign weights to the data of these N years so that ...
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0answers
46 views

Is it possible to get function from bunch of points?

I have some points which I know the position in 3D. and that points made in sequence. for example, . (x1,y1,z1) ...
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0answers
30 views

matching two curves

I have two curves extracted from some data and I'm trying to detect when there is a difference. Each of these 3 plots represents a different data set. From these example curves below, I'm looking for ...
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0answers
14 views

How to find minimum possible height of tree?

Suppose a tree has n nodes and a fan-out of f > 1. The fan-out of a tree is defined to be the maximum number of children of any node in the tree. What is the minimum possible height of the tree in ...
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16 views

Taking data, and making it into a straightened graph

Given my data (x,y) 6.6, 2.3 13.5, 2.09 26.6, 1.88 35.5 1.65 50.2 1.49 I found that the trendline that best represented it was polynomial approximately y=x^2 However, when I did ...
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60 views

Two Part Question Regarding Function Analysis and Encryption

I've been to my professors office hours, and my teaching assistants are not making this clear for me. Encryption is such a great field of study and I really would like to get off on the right foot. ...
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34 views

Find the asymptote of an experimental dataset

I have an experimental dataset that looks roughly like this (this figure is a stand-in I created based on a function with a random part): Just looking at the dataset it seems to have a horizontal ...
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3answers
83 views

$4\log_2(n)=n$ How to Solve for $n$?

As the title suggests, my log skills are pretty lacking. Need to learn how to get from $4\log_2(n)=n$ to $n=16$ ($\log$ base $2$). I've searched Google and it seems I am missing some core concept ...
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0answers
50 views

Root mean square error from dataset with different time interval

I have two data sets. The Data-set I, contain 2 columns. (field observation data) Column A is the time series with 30 minutes duration. Column B is the value. The Data-set II, contain 2 columns. ...
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0answers
31 views

Approximating a probability distribution given multiple datasets

I am beginner in mathematics/statistics and apologise in advance for my faulty use of language. I am working on a problem in statistical genetics. Given a dataset, $D$, I obtained probabilities for ...
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0answers
17 views

Correct sampling methods for this data set / requirements

I am just looking for a push in the right direction as to what kind of sampling methods I can use to fulfill this set of sampling criteria. I had thought stratified sampling, but I'm not sure if ...
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4answers
43 views

Finding function for data

I'm in need of a function for this data which occurs in an application I am making. I've been staring at it for hours and I can't figure it out, hope someone here can help me. Here's the data: f(x) = ...
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1answer
24 views

GPS Data Doesn't Make Sense — Some type of GPS shift or transformation in place? — NOAA Weather Data [closed]

I had a hard time trying to figure out which of the Stack Exchange subsections that this question would correspond to, so if it doesn't seem relevant on this board, please let me know and I'll take it ...
2
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1answer
20 views

Aproximate data with this equation (or linearize the equation)

I have found an equation that describes the behaviour of a phisical system: $$ y=a_1e^{-a_2x} + a_3 + a_4x + a_5e^{{-a_6} / {(1-x)}}$$ Now I have data of that physical system and I want to ...
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0answers
24 views

Data Envelopment Analysis

I have been given an example for a Linear Programming Model in Data Envelopment Analysis. The given data is (the last two columns are the ratios but so far I've only used them in a graphical method); ...
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0answers
22 views

Fitting discrete distribution (negative binomial) for early data values

I'm having some difficulties with fitting a discrete distribution function (I'm specifically using the negative binomial distribution). Here's my setting: I have a source of incoming items, each with ...
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4answers
118 views

Predicting the movement of people on a grid.

Let there be a $30$ by $30$ grid that is there are $900$ tiles.The rows are numbered from 1-30 while the columns are numbered from (i) to (xxx). There are total of $100$ people and each of them is ...
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3answers
29 views

Separating populations and estimating line-fit parameters

Given a dataset containing two populations, each of which can be described by a linear relationship between two variables in each sample with high R$^2$, how does one separate the two populations (and ...
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2answers
55 views

Can we express “exactly X” with set theory?

I have a question that I think that is a better fit here than a programming SE as SQL is founded on set theory and my question is more about set theory than about a programming question. Assuming I ...
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2answers
45 views

Scaling data into $[-1,1]$

I have a data in the matrix for: \begin{bmatrix} 1 & 2 & 3 & 9 & 6\\ 8 & 2 & 7 & 4 & 6 \\ 1 & 2 & 8 & 7 & 4 \end{bmatrix} Each row corresponds ...
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2answers
41 views

Best way to generalize a distribution of data into smaller subsets?

Suppose I had a data set as follows: 168.95, 176.83, 178.13, 179.61, 179.44, 172.83, 173.37, 174.06, 174.94, 175.43, 175.73, 175.5, 173.78, 174.06, 172.71, 174.3, 178.38, 178.43, 177.18, 175.34, ...
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2answers
65 views

Function to fit a curve

I am trying to fit a function to data that looks like the following. I have no idea what the function is, but by visual inspection it seems to be a parabola (or some other convex polynomial) + a ...
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0answers
24 views

Why do candlestick plots seem to show a cyclical structure?

One oddity I notice is that if a random or quasi-random data series such as price data is plotted, it is similar to a random walk, but if the same data series is plotted using candlesticks ...
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1answer
64 views

How do you set the range for ListPlot (mathematica)

I have a large set (about 2050 values) of data that I would like to make a graph out of. The data is in two columns in Excel. I copied the first column and made the list x={0, 3.6, 7.1, 10.7...} and ...
3
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1answer
46 views

The number of nuts in a package of “Premium Cashews” is normally distributed with a mean of 433 and a standard deviation of 6 nuts.

The number of nuts in a package of "Premium Cashews" is normally distributed with a mean of 433 and a standard deviation of 6 nuts. Packages with fewer than 420 nuts or more than 445 nuts will be ...
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1answer
19 views

Continuity correction: Change P(2 ≤ x < 9) to continuous?

Convert discrete probability into continuous probability using continuous correction: attempt: Discrete: P(2 ≤ x < 9) therefore continuous should be Continuous: P(1.5 < X < 8.5) Is this ...
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1answer
18 views

Rating based on 2 criterias

I'm trying to write rating system which scores items based on two criteria with different importance. Criteria_1 will have importance 0.2 and Criteria_2 will have 0.8. Maybe a bit of trickiness adds ...
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0answers
12 views

Computing a threshold value for paired data

I have a dataset of vector pairs; for each pair ($x_1$, $x_2$) I have two values $V$($x_1$,$x_2$) and $U$($x_1$,$x_2$) (two metrics). I also know a threshold value $U^*$ such that any pair ($x,y$) ...
3
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1answer
100 views

How do I 'reverse engineer' the standard deviation?

My problem is fairly concrete and direct. My company loves to do major business decisions based on many reports available on the media. These reports relates how our products are fairing in ...
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1answer
13 views

How do I calculate the function of an (expected) logarithmic distribution, if I know the area under the curve & one data point?

I'm trying to get the function that lets me determine the value of y, where x is an arbitrary number. In this case, I'm looking at sales charts, and I'm making the assumption that the function is ...