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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2
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1answer
31 views

Estimate probability mass function from observed samples?

This question is related to but is distinct from Estimation of probability mass function using finite samples. As in the related question, suppose we have a discrete random variable $X$ with known ...
1
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1answer
21 views

Using counts of a continuous random variable to establish an unknown probability density function

The precision of a given measuring device defines a window over the probability density function of whatever is being measured. For instance, if a measuring tape is precise to 0.1 inches, then the ...
1
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0answers
19 views

Optimal Binning with respect to a given response variable

I'm looking for optimal binning method (discretization) of a continuous variable with respect to a given response (target) binary variable and with maximum number of intervals as a parameter. ...
0
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0answers
19 views

Rejecting subjects based on retest analysis

Are there objective criteria for rejecting subjects based on a test-retest analysis? Perceptual data on a discrete scale [1,...,9] for a number of users over groups of audio excerpts was collected. ...
3
votes
1answer
54 views

How to to find and evaluate optimal discretization for continuous variable with $\chi^2$ criterion?

I have a data set with continuous variable and a binary target variable (0 and 1). I need to discretize the continuous variables (for logistic regression) with respect to the target variable and ...
1
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1answer
18 views

Is there ever any reason to discretise continuous ground truth if doing classification?

Is there a case where discretising continuous response improves classification performance? For example: A response variable is in the range 0 to 99. There are 10 classes defined by the following ...
0
votes
1answer
71 views

Do probabilities need to sum to 1 in a choice model? [closed]

We're create a discrete choice model, in which there are more than two alternative choices. There are some options for this, such as the multinomial logit and the conditional logit.. We started with ...
0
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1answer
30 views

ANCOVA or not? Non continuous covariate

I have done an experiment with an independent and dependent variable. I repeated the experiment 5 times. Obviously all the repeats will be different from one another, some of them significantly so. ...
0
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2answers
59 views

Discrete choice model

I have a ordinal probit model. The dependent variable, say walkability, is a Likert scale variable (1,2,3). The main independent variable, say connectivity, is also a Likert scale variable (1,2,3). ...
1
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0answers
18 views

How do I handle continuous variables that depends on a another discrete variable?

I am trying to create a classification model with independent variables IV1, IV2 and IV3 and dependent variable DV (DV ~ IV1 + IV2 + IV3). Now the problem that I am facing is that IV2 exists only ...
0
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0answers
11 views

Estimating the number of units bought at a certain price in a stock

I need a way to know the value of my stock. Let $(x_1, \dots, x_n)$ be the quantity of the products $1$ to $n$ I have in stock, such that, for example, if I have $8$ units of the product $2$, $x_2 = ...
0
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0answers
15 views

Check two samples came from the same discrete distribution

Let's say I have two samples $X_1, X_2, |X_1| = n_1, |X_2| = n_2$. Each entity in a sample is a value of categorical variable that comes from a discrete distribution. For example, $x_1$ takes one of ...
5
votes
1answer
56 views

Finding quality of fit for two discrete variables with low statistics

I have data from an experiment which I am trying to explain using a model. I do not have an analytic formula for the prediction of the model but instead I got its prediction through a simulation. The ...
0
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0answers
12 views

converting discrete values to buckets to perform predictions

I have a set of continuous discrete values, which I would like to convert to a classification task. Say, my scores in an exam are anything between 0-100. I want to convert my scores in the next exam ...
1
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0answers
12 views

Fisher Information from Discretized Likelihood

I suppose this may sound like a general question, so sorry if it actually is. How can I calculate the Fisher information for a log-likelihood which I have calculated for a discretized set of points. ...
0
votes
1answer
52 views

Machine learning method to determine continuous values from discrete and continuous parameters

I watched online courses about multivariable linear regression which addresses the problem of determining values from numeric inputs. Like, predict prices for houses based on age, size, number of ...
0
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0answers
20 views

Implementing evolutionary algorithms

We're trying to to minimize the following functions using Multi Objective Evolutionary Algorithms : $\mathrm{minimize}~\lambda_q(1-a)E(N)E(X)+\lambda_xE(N)E(\max(X/a-R,0))$ ...
2
votes
2answers
37 views

Estimation of probability mass function using finite samples [closed]

Suppose $X_1, X_2, \dots, X_N$ are $N$ random samples of a discrete probability distribution such that $X_i \in \{1, 2, \dots, K\}$. The probability distribution $p$ used for sampling is ...
4
votes
2answers
94 views

How to properly state the average of a discrete number in a report?

I'm wording a report on the averages of a discrete variable, and am trying to get the most appropriate sounding wording. Consider the able below: ...
0
votes
1answer
33 views

Word-frequency and statistics

I am new to statistics and am wondering how I can apply it in linguistics. There is a conjunction in a corpus that 902 times (.91) conjoins sub-clausal units, and 91 (.09) times clausal units. How ...
1
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0answers
17 views

Multivariate discrete distribution

Let $\mathbf{x}=(x_{1}, \dots, x_{m})$ be a vector of discrete variable; $x_{j} \in \mathbb{Z}^+$. Which distribution can I use over $\mathbf{x}$ that allows to have dependence between each couple ...
1
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0answers
20 views

compare magnitude of association between pairs of discrete variables?

say I have discrete(nominal) variables Y, X1 and X2. X1 and X2 have different number of levels. I want to assess whether Y is associated more with X1 or X2. I understand that I could use chi-square ...
8
votes
0answers
149 views

How to understand from paper how to derive the CRLB for Gaussian case AR model

An univariate autoregressive process AR(p) process is expressed as $$y(n) = \sum_{j=1}^p a_jy(n-j) + u(n) $$ is excited by Gaussian sequence, $u$. Is there a resource / reference for a lucid ...
2
votes
2answers
77 views

Mean Preserving PDF Spreading

I have a histogram representing the PDF of an unknown discrete RV. The histogram is asymmetrical. To be clear, all I have is the histogram. Is there a known way to increase/decrease the variance of ...
3
votes
2answers
83 views

how can I test if a sample was created from a specific Discrete Distribution

How can I test if a sample was created from a specific discrete distribution. For example, if I have the following distribution 1- 0.2 2- 0.5 3- 0.3 and I ...
0
votes
0answers
25 views

Test if 2 samples are taken from the same population (multi-dimensional data) - worked example

I'm looking to learn (not just apply) how to test is two samples are drawn from a single population. The data I'm likely to apply this to is multi-dimensional so that's my target. Can anyone give me a ...
1
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0answers
24 views

hypothesis test for discrete disributions

I am interested in the number of instances of feature $F$ among the members of two populations, $A_1$ and $A_2$. e.g. $F$ is a some special genetic element that may occur several times within a ...
1
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0answers
8 views

What is the discrete equivalent to the 4-plot?

Quoting NIST, when analyzing a continuous variable, one needs to validate four assumptions that typically underlie all measurement processes; namely, that the data at hand "behave like": random ...
4
votes
1answer
317 views

Why is this random variable both continuous and discrete?

The waiting time, $W$, of a traveler queuing at a taxi rank is distributed according to the cumulative distribution function, $G(w)$, defined by: $$G(w) = \begin{cases} 0 & \text{ for } ...
4
votes
1answer
47 views

Question about the the median and the mode in skewed distributions

In intro statistics textbooks, the mode is typically described as least susceptible to skewness, followed by the median, which is in turn followed by the mean. The difference between the median and ...
0
votes
0answers
40 views

Finding n and c in single sampling plan

I am learning a quality control course and in Single sampling scheme for attribute type inspection I don't understand the method used for calculating the values of $n$ and $c$. The method is as ...
0
votes
1answer
41 views

Chi-squared two sample test for unbinned discrete data

I am wandering through the net but I cannot get a precise description of how to solve this simple task. Two sets of datas ...
2
votes
1answer
71 views

Number of different combinations in a sample

I hail from Mathematica SE. A friend of mine asked me a statistics question (I'm an economist and am assumed to know such things) which kind of stumped me, since I usually deal with non-discrete ...
0
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0answers
16 views

Monitoring high quality near zero defect processes

What are the latest techniques for monitoring discreet defects in high quality processes with defective rates in the parts per million range?
2
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0answers
30 views

Discrete Choice Models

for mulitnomial (or mixed) logit models, when the choice set is too large, either strategic sampling or random sampling of the choice set can be used. My question would be: Is that also true in ...
3
votes
0answers
28 views

Estimating a probability distribution with a discrete and continuous part

This is a question more for advice and a suggested starting point than anything else (though anything else is cool as well ) The data that I have is something like this - 1,000,000 data points of ...
6
votes
2answers
156 views

5 defectives rule of thumb

I have taught six sigma black belt classes using consultant sourced training materials which included the rule of thumb that when estimating the rate of occurrence of discrete events, like the ...
1
vote
1answer
107 views

Calculation of Higher-Order Cross-moments

How can I calculate standardized central cross-moments for 2 time-series? The 4th-order standardized central moment, kurtosis, is; ...
-1
votes
1answer
167 views

Median and mode

Consider grouped data with frequencies and more specifically data that are discrete. If I have for example different xi with the same frequencies, what is the right answer: there is no mode or all ...
1
vote
1answer
174 views

Power-law fitting and testing

I want to test the distribution that best fit a specific metric (that I call SD) extracted from the source code of systems. I have a guess that they follow a power-law behavior. My sample: 20 ...
1
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1answer
39 views

Discrete Variables and Regression

I have only discrete independent variables (gender, religious affiliation etc) and continuous dependent variables. Is it possible to use a regression model?
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0answers
22 views

How to compare a one-day count against a historic mean to identify an external change

A few months ago a client's website had some good press and their daily site visits spiked. Now, every time their traffic shows a bump, they think something external has caused it to happen. I'm ...
1
vote
0answers
17 views

Transforming data with a limited range (0,1,2) for parametric testing (ANOVA) [duplicate]

I've collected data on accuracy of recognition of images. Accuracy is a score out of 2 with points 0,1,2.. participants can score a 0. I am aiming to use a parametric test (ANOVA mixed design) to ...
0
votes
0answers
18 views

MNL discrete choice with quasi-SUR 4 equation system, looking for R package that can handle such a system

I am attempting to recreate the model in this paper: Pinjari (2011) in which the author uses a 4 equation system with discrete choice dependent variables in each of the 4 equations. Does anyone ...
3
votes
2answers
97 views

Test identicality of discrete distributions

Is there a standard way to test whether two vectors were drawn with the same discrete distribution in R? Something like a Kolmogorov-Smirnov test, but for discrete distributions. I think two-sample ...
1
vote
1answer
342 views

Can I still interpret a Q-Q plot that uses discrete/rounded data?

I have a data set with only discrete/rounded values in it. As a result, when I produce a Q-Q plot a "stair-case" pattern appears. Can I still interpret this just like a normal Q-Q plot even though it ...
0
votes
1answer
39 views

Correlation or clustering of continuous score and discrete variable states

I have an experiment that produces a decimal score representing quality, and a bunch (5-30) of variables that each take on one of a set of discrete states. - The states are not meaningfully ...
0
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0answers
49 views

Clustering method that can use graph links, discrete and continuous properties?

I have an un-weighted, directed graph that clusters ok using MCL or other graph clustering algorithms. However, I also have additional discrete and continuous properties of the nodes being clustered ...
1
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1answer
645 views

Plot the probability mass function

I am trying to plot the probability mass function of a sample of a discrete metric. If it was continuous, I know that using pandas it would be as simple as calling: ...
1
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0answers
33 views

How can I smooth a set of discrete data points for the purpose of schedule planning?

Disclaimer: I do not have a background in statistics or the math behind filtering, save one long-time-ago college course. I have a well defined problem space. I am calculating hourly staffing ...