# Tagged Questions

The mode is the most frequently occurring value in the data and can be used as a measure of central tendency for categorical data.

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### R modeest package: Which method of mode estimation?

I have a unimodal continuous distribution which is skewed and I would like to estimate the mode using the modeest package in R. However, the package offers a relatively large number of methods to do ...
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### The mode of multivariate Gamma distribution

Let X, Y, Z be i.i.d. distributed Gamma random variables. What could the mode of the vector $(X, X+Y, X+Y+Z)$ be? Does the mode of a random vector equal the combination of the marginal modes?
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### Bimodal curve fitting

I have been at it for days and simply can't solve this. I would like to fit a curve with two peaks (i.e. bimodal) to my data set. I have both x and y values in my data (i.e. not a probability ...
1answer
80 views

### Multimodal data - where does one tail end and the other begin?

I have some observed (i.e., not generated by any hypothesized distribution, but generated by real processes) data that I believe is bi-modal (it may have more modes than two). In this dataset, there ...
1answer
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### Unimodality of continuous univariate distributions [closed]

What are the different methods to prove that a continuous univariate distribution is unimodal? Some of them are available at Wikipedia but not much detail is given. Solution or suggestion of any ...
1answer
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### Mode estimation in high dimensions

Suppose we have a sample $\boldsymbol{x}_i$ for $i$ in $1,\dots, n$, from a $d$-dimensional unimodal density $f(\boldsymbol{x})$. I would like to estimate the mode of $f(\boldsymbol{x})$. The ...
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### Belief propagation

In Belief propagation the message that are passed between two nodes of a cluster graph have a specific interpretation. The message from one node to other specifies the node's belief over the ...
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### How to pick a good threshold for multimodal histograms

I am trying to do multi-modal detection in a vote map (histogram) however, side lobes obviously cause some false peaks. So using mean shift will not do as it will find all of the local maxima. So I ...
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211 views

### What is the mode of US height, in inches? What percentage of americans does this mode represent?

I am setting the starting-height of a console, and so I would like to know what the most common height is, and what percentage of americans the console would not have to move for. I am shocked at how ...
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### How do I find peaks in a dataset?

If I have a data set that produces a graph such as the following, how would I algorithmically determine the x-values of the peaks shown (in this case three of them):
5answers
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### Modelling market mode (trending vs about to reverse)

I am interested in stochastically modeling whether the market is likely to go on in the same direction(trend), or reverse and head back. This is all for intraday purposes, next 1-2 ticks kind of ...
2answers
274 views

### Computationally efficient estimation of multivariate mode

Short version: What's the most computationally efficient method of estimating the mode of a multidimensional data set, sampled from a continuous distribution? Long version: I've got a data set that I ...
0answers
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### How can you convert Bayesian Information Criterion parameters to a probabilistic interpretation?

I'm working with a general bayesian information criteria to determine if this data exhibits a bimodal, trimodal, quadmodal etc. My existing BIC exhibits clear trimodality, but I'd like a hypothesis ...
1answer
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### How to draw mean, median and mode lines in R that end at density?

I have drawn a skewed distribution, using these commands: ...
2answers
624 views

### Computing the mode of data sampled from a continuous distribution

What are the best methods for fitting the 'mode' of data sampled from a continuous distribution? Since the mode is technically undefined (right?) for a continuous distribution, I'm really asking 'how ...
2answers
135 views

### Identifying modes in floating point data

My new computer clock runs at a rate that changes in odd steps over time, even after I tuned it via the Linux adjtimex software. Here is a plot of the change in the cumulative clock drift for each of ...
1answer
264 views

### How to do primary component analysis on multi-mode data with non-orthogonal primary components?

Consider the following picture representing the experimental data sequence obtained by two 1D-sensors (each point of the sequence is plotted on XY plane according to the respective sensor reading): ...
4answers
522 views

### Given a 10D MCMC chain, how can I determine its posterior mode(s) in R?

Question: With a 10 dimensional MCMC chain, let's say I'm prepared to hand you a matrix of the draws: 100,000 iterations (rows) by 10 parameters (columns), how best can I identify the posterior ...