Linked Questions

0
votes
0answers
25 views

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

If data is continuous (not discrete) how to calculate median and mode?
9
votes
3answers
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 ...
3
votes
3answers
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....
13
votes
4answers
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 ...
4
votes
2answers
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 $f'(x)=0$?
8
votes
3answers
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?
3
votes
2answers
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 ...
7
votes
1answer
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. ...
2
votes
1answer
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 ...
1
vote
2answers
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?
0
votes
2answers
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 ...
4
votes
2answers
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 ...
0
votes
0answers
133 views

Compute mode of distribution

I have the histogram in the picture: I would like to compute the mode. I fit first the distribution with a beta distribution and then I compute the mode. Is there a better approach? I would ...
2
votes
1answer
103 views

Central Tendency for Negatively Skewed Data

I am trying to understand how to best describe left or negatively skewed data in terms of central tendency. I have provided code below that simulates such a distribution, as well as the source code ...