Refers to data generated from a distribution that has a countable sample space. Discrete data may be nominal (e.g. the distribution of race in a sample of individuals) or ordinal (e.g. the number of errors on a page of text).

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13 views

Sample correlation matrix of discrete variables

Consider a population where each member is represented as a set of N correlated trinary variables (each coded as $\{-1, 0, 1\}$). I am trying to get an estimate of the mean of all elements in the ...
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1answer
31 views

Discretizing Continuous Outcomes: good examples?

My continuous dependent variable has a lot of error in it. Hence, I was thinking of discretizing it, to reduce the error for my modeling effort. But firstly, the main focus of my modeling effort are ...
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33 views

Discrete Random Variable [closed]

Second-year business students at many universities are required to take 10 one-semester courses. The number of courses that result in a grade of A is a discrete random variable. Suppose that each ...
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9 views

Combine Multiple Discrete Probability Density Functions

I'm a bit stuck trying to figure out the combined probability from several discrete PDF's. Lets say I have a bunch of different classes (Truck, Sports Car, Station Wagon, etc) and a bunch of ...
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1answer
38 views

distance measure of two discrete probability histograms (distance between two vectors)

I have multiple sets of discrete probability histograms(vectors) and I want to measure the distance between each histogram. I have done some research but I am in doubt. Literature suggest I could ...
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0answers
19 views

How would you correlate time series (price changes) to a discrete event happening?

I'm not sure what kind of model you would use here... But say you are looking at the price of the S&P 500. Suppose... If the market trends up, then everyone is happy and more likely to spend. ...
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49 views

How can I test whether an empirical discrete distribution is symmetric?

For example, I have a distribution with mean = 55.46; med = 54.5; mode = 45. The Shapiro-Wilk is non significant, the data are unimodal, and there is no significant skew or kurtosis. At a glance, the ...
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11 views

Something like PCA for nonlinear discrete data?

I have a multi-dimensional discrete dataset. I know that the relationship between the components is nonlinear, but I don't know anything else. Preliminary inspection of some components of the data ...
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11 views

PCA for mixed variables

I have a dataset which contains many variables : continuous and discrete variables. I have a discrete variable adress which can include many value (if for example the customer changes his location, ...
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1answer
29 views

Discrete or continuous variable

I am trying to model Ip adress to cretae a fraud detection framework. So I am wondering if Ip Adress is a continuous or discrete or categorical variable. Bests
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20 views

Does it make to sense to derive a new column based on quantiles?

I am working with a dataset with alcohol levels. It looks something like this: Alcohol Level 10.34 3.21 323.12 ... I'm wondering whether it is common to "bin" ...
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1answer
11 views

computing P(a∧b) given P(a) and P(b) empirical distributions over 2D space

I know this is really basic but I have been unable to find anything to confirm or refute my understanding. Suppose two discrete, independent, empirical random variables $A$ and $B$ which are ...
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17 views

Transformation and standardization for discrete features?

I have a dataset consisting of continuous and discrete features (predictors). For the discrete features, I have integer values (e.g. 0, 5, 20, 30 etc.). Of course, for the continuous features I could ...
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1answer
30 views

How to report a value determined from a cumulative sum?

I'm reporting on methods that use discrete distribution data, for example: ...
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0answers
44 views

Descriptive formula for the mean of a discrete frequency distribution

I'm trying to typeset a formula for an R expression that determines the mean value from discrete distribution data. Here's some example data to describe my question. ...
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0answers
30 views

Goodness-of-fit for Discrete Distributions

I've been doing some data analysis with Scipy. So far I accomplished this with continuous distributions: I can fit a probability distribution to a set of data points using a maximum likelihood fit. ...
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16 views

R visualization for discrete variables [duplicate]

What are the good data visualization tools/packages in R to visualize relationship between two discrete variables? Simple box-plot is not sufficient and can be misleading. Any other approach?
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2answers
61 views

Calculate probability distribution table for dates

I'm a software developer. Over 10 weeks our team has had the following estimations/actuals for how much work we can complete in points: ...
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11 views

Can optimising thresholds for discretisation lead to overfitting in Bayesian networks?

In Bayesian networks continuous data is often made discrete, for example: < 21.5 becomes 0 21.5 > .. < 43 becomes 1 > 43 becomes 2 If you run an ...
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0answers
15 views

Discretization for a bayes network model with small sample

I have been playing around with a Bayesian network toolbox for prediction and classification. I have had good success with the examples but I'm now stuck on how I should proceed with my scenario. I ...
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1answer
50 views

Exploring the relationships between discrete and categorical data

When you want to test the relationship (correlation) between two continuous variables, the main methods are easily learnt and very well documented. Scatterplots with regression lines, pearsons ...
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2answers
44 views

Methods for modeling discrete dependent variables and categorical independent variables

I need to determine if there are relationships between discrete dependent variables and categorical independent variables. To give some examples, one discrete dependent variable would be salary and ...
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0answers
21 views

How to compute a mean of some numbers from normal distribution? (using continuity correction) [closed]

In practice, specifically writing a paper, we often need to compute an expected value of some sample drawn from a certain continuous distribution. Let's say, draw 100 numbers from $N(0,1)$, and ...
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1answer
54 views

MLE for discrete uniform distribution [closed]

I am trying to find $N$ by MLE for several discrete uniform distributions involving a parmeter $N\in \mathbb{Z}$. If the interval $X$ is defined on is $X\in (N,N+1,...,N+10)$ then I think ...
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2answers
105 views

Probability distribution of rare condition count

A population of t=310M experiences an environmental change that causes one in s=112M of them to acquire a particular condition c, each one independent of the others. What is the probability p that ...
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3answers
250 views

Visualize bivariate binomial distribution

Question: what does a bivariate binomial distribution look like in 3-dimensional space? Below is the specific function that I would like to visualize for various values of the parameters; namely, ...
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2answers
110 views

Comparing two (or more) discrete distributions

I would like to know what the most powerful way of comparing two (or more) discrete distributions is. I know that the Kolmogorov-Smirnov test could be used (if corrected for the discrete ecdfs), ...
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82 views

Combining Bhattacharya Distance (or A Measure of Similarity) — across Different Variables (Properties)

We have a series of observations of different properties (such as heart rate or blood sugar level and others as well) across different days from different people from different geographical regions. ...
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1answer
86 views

chi-squared with too many degrees of freedom

I have a third party random number generator with a period approximately greater than $63*(2^{63} - 1)$ which generates numbers in the range $[0,2^{32}-1]$, ie $2^{32}$ different numbers. I've made ...
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1answer
34 views

Is it better to use the original continuous or discretized data in building a model?

I am currently competing in a Kaggle competition and wondering is it a good choice to discretize particular variables. I saw that some specific continuous variables have almost all values that are ...
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1answer
39 views

Throwing two four-sided dice; min/max problems

Suppose two four-sided fair dice. Let $X = min(X_{1}, X_{2})$ and $Y = max(X_{1}, X_{2})$ where $X_{1}$ is the result of the first dice and $X_{2}$ the result of the second dice. What is the PMF of ...
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1answer
23 views

multiple comparison for discrete nonparametric distributions

I have N=24 controls and M=10 patients. (M can be 20 later) Each subject has one 3D image, each element of the image is a discrete value (integer) ranging from 0 to 4 [0,1,2,3,4]. It's like a score. ...
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0answers
17 views

Is there a proper interpretation of ordered multinomial variables in binomial Logit model?

I am using a binomial Logit model to make inferences about how respondents of a survey use the Internet based on differences in their financial well-being and income. My dependent variable measures ...
2
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0answers
77 views

Error introduced by rounding values from a continuous distribution

I am implementing a sampling routine to sample from a discrete normal distribution. I use a standard technique for sampling from continuous normal distribution and then round my values. If I am ...
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1answer
24 views

Given no knowledge of var, include both continuous and dummy

Imagine we have a variable with 5-7 unique values in a machine learning setting. One could argue that given no knowledge, we might convert it into 5 dummy variables, or one might consider it ...
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24 views

Statistics test for paired data with discrete outcomes

I have pre-post data for several variables and I'm looking to analyze them. The responses to the questions are 0,1,2,3,4 with 4 being best and 0 being worst. For each variable could I simply find the ...
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1answer
38 views

Efficient computation of the distribution of a weighted sum of finite discrete random variables

I have $N$ discrete random variables $X_i$, with distributions $p_i(X_i)$. $X_i$ can take integer values in a finite range $[a_i,b_i]$, where $a_i,b_i$ are integers. The distribution $p_i(X_i)$ is ...
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11 views

Joint cumulants of Zn2 characters

Let $f_{c}:Z_2^n \rightarrow \{-1,1\}$ be the character defined as $f_c(x) = (-1)^{<x,c>}$, where $c,x \in Z_2^n$. It is easy to see that since $f_{c_1}\cdot\ldots\cdot f_{c_k} = f_{c_1 \oplus ...
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1answer
38 views

Test for significance with multivariate, highly-skewed, discrete data

The data The dataset comprises 10 variables: waiting times (rounded to minutes) for questions to be answered on Stack Overflow by programming language. Each is discrete, none is normally distributed ...
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1answer
82 views

Plotting PMFs and PDFs

This is probably a silly question, but I was reading Computational Statistics with Python and there are a few plots describing prior, likelihood and posterior distribution in the context of ...
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1answer
13 views

How to combine a continuous effect into a function that is for discrete outcome

I have a function like this: log (P(1)/P(0))= a+ sum(h(x))+ g(x), where a is the intercept, h(x) is a binary outcome: 1, or 0. g(x) is a continuous variable that contribute to the log of a ...
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1answer
306 views

Continuous probability distribution over integers?

I have a random variable which can have any value from the set of natural numbers. For example, the probability of the random variable having a low value is higher than the probability of the random ...
1
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1answer
36 views

Transformation of variables in Poisson distribution

If $X$ is a random variable which follows $\text{Poisson}(u)$ distribution then what is the variance of $X^2$?
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12 views

Two-dimensional discrete aleatory variable prediction

I hope someone can help me a bit facing this problem. I have many item samples from a database (let's say 1000 for example) with two attributes: a price from a range of possible prices (0 to 8000€ for ...
5
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2answers
86 views

Notation for possible values of a random variable

Let $X$ be a discrete random variable that can take the values $1, 2, \textrm{and}\ 3$. What is the conventional way to write this mathematically? Is it just $X\in\{1,2,3\}$ or should I somehow write ...
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1answer
54 views

Is a random variable taking every rational number or a range of rational numbers discrete or continuous?

My guess would be discrete because such a variable would only take a countable set of values and "continuous" seems to imply the continuum of the real numbers.
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1answer
124 views

How do you derive AIC and BIC for discrete-valued observables?

Let's say I have an experiment which yields discrete results between 1 and $N$. I am modelling the results using a number of statistical models and want to use Akaike (corrected) or Bayesian ...
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0answers
53 views

Interpreting elasticity of dummy variable

This is a follow-up of my previous question. I post it as a new one since it has a different focus and may be interesting for other folks. I've read that elasticities of dummy variables are not ...
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1answer
62 views

Question about discrete, numerical data

True or false: In a survey of your neighbors (asking for family size, the kind of pets they have, the grade of the youngest child in the family, the family's annual income in dollars, what the dad ...
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30 views

Problem on Clustering Discrete Input using GMM

I want to do clustering using Gaussian Mixture modeling (GMM) on a set of data which is a 5-dimension vector of real values $(x_1,x_2,x_3,x_4,x_5)$. However the clustering result were pretty bad, ...