25 views

### How to calculate median and mode from continuous data? [duplicate]

If data is continuous (not discrete) how to calculate median and mode?
132k views

### How to calculate mean, median, mode, std dev from distribution

How to calculate mean, variance, median, standard deviation and modus from distribution? If I randomly generate numbers which forms the normal distribution I've specified the mean as ...
2k views

### If the mean and median underestimate the true central tendency, why use them?

In skewed distributions, both the mean and the median can easily underestimate or overestimate the true central tendency. For example, have a look at this violin plot: The median is shown here in red....
4k 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 ...
586 views

### If $f(x)$ is a unimodal probability density function, how can I show that its mode is at $f'(x)=0$?

If the function $f(x)$ is continuous and a probability density function (PDF), how can I show that its mode is at $f'(x)=0$?
745 views

### Are the terms probability density function and probability distribution (or just “distribution”) interchangeable?

Like the title says, are the terms probability density function and probability distribution (or just "distribution") interchangeable? If not, what is the difference?
2k views

### Finding the Peak of a Kernel Density Estimator

I implemented a Kernel Density Estimator. I have a multivariate dataset that I use with it and I would like to find the point of highest likelihood. A way I thought about is sampling n points using ...
2k views

### Extracting Maximum A Posteriori (MAP) estimates from MC samples

I notice in some academic papers the use of MAP estimators in Bayesian settings. The samples are generated through some MC method, but the MAP calculation from these samples is never elaborated on. ...
818 views

### 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 ...
846 views

### What is the mode in a multimodal data set?

Given the data set {10,10,14,14,15,15,17,17,27,27,30,30} is the mode {10,14,15,17,27,30} or is there no mode?
222 views

### Distribution vs Distribution Function

I am currently reading through Elementary Stochastic Calculus with Finance in View and I am going through the probability review section. Intuitively I know the difference between a Probability Mass ...
99 views

### Removing outliers from a dataset [duplicate]

EDIT: Background: I need to (lin) scale a big dataset to e.g [0,10]. Outliers (in example below 1 and 10000 get (non lin) mapped to resp 0 and 10, the rest (50,51 in this case) is scaled over 0 to 10 ...