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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22 views

3 different between the arithmetic and Expected mean with examples? [on hold]

tell me 3 different between the arithmetic and Expected mean with examples ? pleas help me..
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16 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
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6 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 ...
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1answer
33 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
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1answer
19 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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45 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
144 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
27 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 ...
1
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0answers
22 views

What model to classify a discretized continuous variable

Consider a variable $y$ (typically, $y_i$ is something like number of inhabitants of city $i$) and some given features $X$. Let us assume that these features are continuous (eg. total city area, ...
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22 views

How to use Hartemink's discretization algorithm?

From the help documentation of the discretize function of the R package bnlearn: Hartemink's algorithm has been designed to ...
6
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1answer
229 views

Question about Dynkin Lehmann Scheffe Theorem

I'm self-studying for an examination, and I would like to understand how to use the Dynkin Lehmann Scheffe theorem for an applied question. I am using Bickel and Doksum's "Mathematical Statistics" ...
0
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0answers
42 views

Can Principal Component analyses be applied to a counting trait?

I am analyzing a segregating population of plants coming from an hybridization process. The experiment consists in several field plots (according to an augmented design). In each plot a segregating ...
2
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1answer
66 views

Discrete analog of CDF: “cumulative mass function”?

We call the integral of a probability density function (PDF) a cumulative distribution function (CDF). But what's the cumulative sum of a probability mass function (PMF) called? I've never heard the ...
0
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0answers
27 views

Conceptual question on image pattern representation

I have a basic question regarding pattern learning, or pattern representation. Assume I have a complex pattern of this form, could you please provide me with some research directions or concepts that ...
8
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4answers
523 views

Calculating PDF given CDF

I know that the PDF is the first derivative of the CDF for a continuous random variable, and the difference for a discrete random variable. However, I would like to know why this is, why are there ...
0
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1answer
39 views

Correct notation wrt. uniform distribution

Assume that I have a discrete set $L$ and a transformation $\phi: L \rightarrow [0,1]$ that normalizes set $L$ such that now values belonging $L$ are uniformly distributed among the unit interval. ...
1
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0answers
21 views

expectation of multivariate discrete distribution

The expectation of a function $f(x)$ over a probability distribution $p(x)$ where $x=(x_1,\dots,x_n)$ and $x_i \in \left\{1,\dots,K\right\}$ requires a summation over all possible $K^n$ combinations. ...
2
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0answers
35 views

deterministic sampling for multivariate discrete distributions

Unscented transform can approximate expectations well via deterministic sampling. if $f(x) = N(\mu,\Sigma)$ and $x\in \mathbb{R}^d$ then $\int f(x) h(x) \approx \frac{1}{2d}\sum_{i=1}^{2d} h(x_k)$ ...
1
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0answers
49 views

Conjoint analysis or discrete choice analysis ? And which software?

Suppose I would like to model the light-bulb preference of respondents. I would like to ask their preferences between existing bulbs on the market. And when you choose a bulb in a shop you usually see ...
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0answers
43 views

Which contingency method to use with a 3x3 table yet still account for expected or discrete choice?

Im not sure what test to conduct when I have 3x3 matrix of data and still account for availability. So, in a simple chi square you have an observed observation and then you are often able to ...
2
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1answer
93 views

Hazard and density function in survival analysis with discrete time

I am running a survival analysis with descrete time. For that purpose I use the R package survival with this function ...
1
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0answers
54 views

A good alternative to data binning?

I read many times that data binning of continuous variables is a very bad idea. For instance, let's take something like heart rate and let's define the following 2 bins: (125 - 135), (136 - 145) ...
0
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0answers
80 views

Analyzing discrete choice panel data with mlogit in R

I searched around and saw some high level discussion on mlogit and discrete choice panel models (here and here) but I need a more concrete answer than those. I am hoping somebody can point out what I ...
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1answer
61 views

Find the maximum likelihood estimator of $\theta$

Let $(X_1,Y_1), . . . , (X_n,Y_n)$ be a random sample from the discrete distribution with joint probability mass function $$ f_{X,Y} (x,y) = \frac{\theta}4 , \space (x,y) = (0,0)\space or ...
3
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1answer
123 views

Bayesian Networks and discretization of variables using K-means clustering

In many approaches to learning Bayesian Networks a solution to tackle continuous variables is to discretize them and apply one of the well established techniques for learning Bayesian Networks ...
2
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1answer
38 views

Distribution of MLE of $N$ based on a random sample of size n from discrete uniform dist.(1,2,…,$N$)

Let $X_1, X_2, ..., X_n$ be a random sample from discrete uniform distribution on $(1,2,\ldots,N)$, where $N$ is an unknown positive integer. Find MLE of $N$ and also find the distribution of the MLE. ...
1
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1answer
86 views

Uniform sampling of a set of weighted samples

Consider a two-stage sampling scheme: First, use weighted random selection from a list to obtain a set of N unique elements. Next, use uniform random selection to pick one of those elements. How can ...
0
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0answers
52 views

POISSON regression with offset variable

Our problem is to determine if there is a relationship between the return on equity of firms (ROE) and the presence (number of indicators used) (Y) of a specific type of indicator showing up in the ...
1
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1answer
23 views

How to test if a value is over-represented in one sample vs another

I have two multinomial data samples that both have N discrete categories. I know that a Kolmogorov-Smirnov test will let me know if the distributions of the two ...
2
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0answers
29 views

Metric optimization on discrete learning sample

There are a set of ("artifical") not Minkovski (triangle inequality is not guaranteed) metrics defined on set of objects. There are one etalon ("natural") metric, which estimation is known only for ...
3
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2answers
174 views

How to decide on the MLE when pmf is 0?

Suppose you have $\theta=\{1,2\}$ and the sample of (0,1,2) with the task of finding MLE: \begin{array} {|c|c|c|} \hline x & p(x|\theta=1) & p(x|\theta=2) \\ \hline 0 & 1/2 & 1/4 \\ ...
0
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0answers
24 views

Test for one category

I am doing a research in linguistics and I am not to sure what test to choose in the following problem. There is a group of 26 students. They are asked a question and two possible variants are ...
1
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1answer
93 views

What methods exist for finding optimal splits to discretize continuous data with respect to a target variable

I'm doing some research into methods for discretizing a continuous variable coupled with a binary target variable to find the optimal split points to maxamise a measure of impurity (gini/entropy). ...
6
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2answers
116 views

Accurately generating variates from discrete power law distribution

What are the best methods to accurately generate random integers distributed according to a power law? The probability of getting $k$ ($k=1,2,\ldots$) should be equal to $p_k = k^{-\gamma} / ...
0
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1answer
194 views

3-4-5 Rule How to partition the sets?

In Data Mining course, we are taking 3-4-5 Rule to segments the data uniformly. I'm trying to understand these lines below, and how they are linked to the graph below too. If an interval covers ...
0
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0answers
168 views

Fitting normalized data to discrete distribution

I have a graph which represents a P(x) vs. x data where x can have 10 possible discrete outcomes. Data looks as follows: {{200, 0.0058668}, {306, 0.0503333}, {411, 0.163055}, {520, 0.203411}, {624, ...
2
votes
1answer
108 views

One-way ANOVA appropriate?

I am assessing the performance of a hospital ward over 6 years. There have been two sets of changes to the ward over this time: after year 2 and after year 4. I have collected data in 4 sample ...
0
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1answer
66 views

Statistical test for testing equal proportions

I have a questionnaire item (N=6572) for which: 5064 (77.1%) subjects responded to the question, and 1508 (22.9%) subjects did not respond to the question. What statistical test should i use to ...
1
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1answer
101 views

Change detection for beginners

I've seen Change detection algorithm - likelihood ratio but I am afraid my question is more basic. I have a sequence $(x_j)_{j=1..N}$ of random observations. I know, these observations are not all ...
1
vote
1answer
89 views

Calculating discrete hazard rates problem

I am working on an assignment for a Stochastic Modeling class and am stuck on the following question: Let $X$ have probability mass function $p_j = P \lbrace X = j \rbrace $ for $j \geq 1$. Let ...
5
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1answer
84 views

Sufficiency of order statistics

I am told the following proof is incorrect, but I cannot understand why. Consider $X_{(1)}, \ldots, X_{(n)}$ are the order statistics of a random sample of size $n$. I want to show that the order ...
0
votes
1answer
43 views

sum of discrete random variables - am I thinking right?

I have thirty discrete random variables for a risk management application. Each of the random variables may have a value $0$ (with probability $p_1$) or $X_i>0$ (with probability $p_2$). All thirty ...
0
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0answers
54 views

Exponentially weighted average of data stream variance

For modeling a sequence of data, I once heard the technical term of "exponentially weighted average of the data stream variance". It is defined recursively as I am not clear why does this recursive ...
2
votes
2answers
51 views

Rule of thumb when drawing N samples from a discrete distribution with N possible values with replacement

I'm looking for an explanation and possibly the name of a rule of thumb: When drawing N samples with replacement from a discrete uniform distribution of N values, it is very likely that: 1/3 of the ...
2
votes
2answers
50 views

Limiting pmf as $n \to \infty$

Consider the simple pmf: $$p_n (x)=\begin{cases} 1\quad x=2+1/n \\ 0\quad \text{elsewhere} \end{cases}$$ Then my book states that $\lim_{n\to \infty} p_n (x)=0$ for all values of $x$. Is that really ...
0
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1answer
67 views

Probability of observing the same value for 10th percentile in two different samples

Edited: I have a categorical variable comprising of values from 1 to 7 with these probability: ...
2
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1answer
269 views

What are the dangers of using a (log)normal distribution for a discrete response?

I have seen in the engineering field some papers (one example) using normal or lognormal distributions to model discrete outcomes. Typically, the explanatory variable is binned (into equal intervals) ...
2
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0answers
50 views

Testing equality of two or more contingency tables

Which options are there to test, whether two contingency tables of the same variables, say $X$ and $Y$, are equal across the levels of a third discrete variable, say $Z$? I can think of a log-linear ...
1
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0answers
235 views

Predicting Naive Bayes model in R on a test data with a single record

I built a naivebayes model using the Housevotes84 data(discrete data) in mlbench package- model <- naiveBayes(Class~., data=HouseVotes84) I took one record ...
4
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0answers
92 views

Application of likelihood ratio test to test the Markov property

Do you know a reference (freely available on the web) where the likelihood ratio test is applied in order to test for the Markov property? The setting is a directly observable discrete Markov-chain ...