A distribution is a mathematical description of probabilities or frequencies.

learn more… | top users | synonyms (1)

-1
votes
0answers
15 views

How do I solve problem 1. c) in the following link? (Marginal Probability) [on hold]

https://moodle.concordia.ca/moodle/pluginfile.php/1785520/mod_resource/content/1/Assignment%201.pdf It seems as if I need to find the mean of the marginal distribution table, but I do not know what ...
0
votes
0answers
12 views

How to compare two matrices (A given matrix and a scaled up one)?

I have a matrix with 0.25 million rows and 50 columns. I have scaled up this matrix to 1.5 million rows and 50 columns using a Method A. I would like to measure the quality of the method I have ...
0
votes
0answers
13 views

How to calculate the probability of a datapoint fitting in a known distribution

I have a set of samples, each with a concentration for element A which is shown on a log scale on X-axis on the histogram below. The number of samples with the same concentration is shown on Y-axis. ...
-4
votes
0answers
55 views

I need help with this estimation [on hold]

// I need help with this estimation problem, please
-2
votes
0answers
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..
1
vote
3answers
216 views

Normal approximation for large data set?

I have a dataset that is highly skewed. See image below: When I transform the data I get the following histogram that makes it look normal: This data however is not normal. I get a p-value of ...
1
vote
0answers
14 views

Modeling Smooth Decay on Logarithmic Y

I have an empirical distribution that looks like the the image below and I hoping to model it with some parametric distribution. The X axis measures "number of ...
1
vote
0answers
37 views

chisq.test with R

I want to do a Goodness-of-Fit test of my data and the Weibull-distribution. I have estimated the Weibull distribution using the survreg-function in R. Now I want ...
1
vote
1answer
16 views

Comparing Graduation Rates

I have multiple student graduation rates from the same school. Each year, there are variations in the student population and each year there are different graduation rates. Is there a way to compare ...
0
votes
0answers
21 views

Confusion about nonlinear transformation of gamma and inverse-gamma distributions

I have a question about the variance of a transformed random variable, illustrated by a particular example. Let $X_1, ..., X_n$ and $Y_1, ..., Y_n$ be independent random variables drawn from an ...
1
vote
2answers
113 views

What probability distribution best describes my data?

I have a variable whose values are summated scale scores constrained within the range 3 to 21, inclusive. I considered this variable as a scale variable (though with restricted range). In order to ...
0
votes
1answer
37 views

Convert discrete distribution to continuous distribution [on hold]

Is it possible to convert a discrete distribution into a continuous one? Where can I find reference paper for this? The data I have is given in the form "AA", "E", "B", "HR" , "C", "D" ...
1
vote
0answers
20 views

How to compare the distances or divergence between two groups of datasets

If I have two groups of data sets. Each group has two arrays of empirical data. In the first group each array has, say, 50,000 data points, and in the second group each array has 3,000 data points. ...
1
vote
0answers
22 views

On log-normal distributions

Since my research data seems to follow log-normal distribution, I was curious to learn more about the topic. In addition to very nice answers here on Cross Validated (In linear regression, when is it ...
1
vote
0answers
28 views

Distribution of sample variance for non-normal random variable [duplicate]

For a sample of size $n$ of non-normal random variables $x_1,...,x_n$. Is it possible to know which distribution the sample variance estimator follows? Details: The distribution of $x_i$'s is not ...
0
votes
0answers
24 views

How do the various distributions work into machine learning

I'm a student who recently started taking a machine learning course and I'm trying to understand how the various distributions fit into the whole thing. From the research I've been doing it seems the ...
2
votes
1answer
51 views

What is the name of the distribution of unbiased sample variance for a sample from Gaussian distribution?

Suppose $X_i$'s are iid Gaussian random variables with mean $\mu$ and variance $\sigma^2$. The distribution of $\sum_i (X_i - \bar{X}_i)^2 / (n-1)$ isn't Chi square. What is its distribution called? ...
2
votes
2answers
52 views

How to express “inequality” of a distribution in one number

I've got an educational game in the works that challenges players to redraw U.S. state borders in a way that reduce the inequality between big-population and small-population states. As they play, ...
0
votes
1answer
21 views

Is there a way to estimate the distribution from only a small number of outliers?

For example, I was looking at this list of the 93 people who have broken the "10-second-barrier", after reading that sprinter Christophe Lemaitre was the first person of purely European decent to ...
1
vote
1answer
44 views

What distribution family would best fit this graph?

Sorry if this type of question is not kosher. I'm new around here, so please forgive me. Anyway, I have a dataset that describes the probability that users will like certain articles from my corpus ...
5
votes
0answers
54 views

What distribution results in adding two Pareto distributions

I'm wondering what distribution results in adding two (or more) type-one Pareto distributions of the form $x^{-\alpha}$. Experimentally, it looks like a two-mode power-law, asymptotic to the ...
0
votes
0answers
6 views

Confidence regions for non-normal trivariate distributions

We are analyzing haplotype diversity within and between six populations or demes. We came up with a measure that compares the similarity of every possible pair of haplotypes within a deme or between ...
4
votes
2answers
117 views

Calculate $\mathbb{E}[Z_i]$ where $Z_i = \min(X_i, Y_{i-1})$, $X \sim Beta(\alpha,1)$

Let $X$ be a IID random variable with support in $[0,1]$ and CDF given by a Beta distribution, i.e. $X \sim \mathrm{Beta}(\alpha,1)$. Let $Z_i = \min(X_i,Y_{i-1})$, $\forall i >1$. I would like to ...
1
vote
2answers
73 views

Log transformation not making data normal

I have a data set with positive skewness when I log tranform it tends to be negatively skewed. Is there any other transformation that I can use or any statistical method works? Thanks!!!
2
votes
3answers
65 views

What is “the shortest half of the data”?

Here is a histogram (realized with JMP) displaying two types of box plot called outlier box plot and quantile box plot. Right below, there are a bunch of explanations of the meaning of the ...
2
votes
0answers
50 views
+50

What properties of a likelihood function are required for quasi-likelihood estimation?

Quasi-likelihood seems like a great way to use Iteratively Weighted Least Squares to fit linear linear models with a very general class of likelihoods. But what is that class? Obviously the ...
2
votes
1answer
31 views

Is the distribution of the minimum of two other distributions a mixture distribution? Or is there a better term?

This is a terminology question motivated by a review that I got on a paper. In the following I believe that $y$ would be considered to be distributed according to a mixture distribution: $$y \sim ...
-1
votes
0answers
13 views

Distribution with random parameter

I got a problem with Exercise 3.1(a). Since there's an example right before the exercise I assumed that X conditioned on M has the same distribution as in the example. I don't understand their ...
0
votes
1answer
57 views

How to solve the attached question?

Any help for solving the attached question (b), (c), (d) and (e) is appreciated.
1
vote
0answers
21 views

Accuracy score for comparison of two probability grids

I would like to calculate an accuracy score for two grids. The cells of the grid have a probability of being occupied (1 = occupied, 0 = free). One grid is supposed to be the reference grid (blue) and ...
1
vote
0answers
23 views

Occupancy octree metrics (Kullback-Leibler)

As I'm currently working on scan matching for outdoor environments I was wondering about the best metric to compare two occupancy octrees (one resulted from the scan matching and one ground truth ...
0
votes
0answers
34 views

Finding transformation function for a distribution that looks like exponential

Suppose that we have two data sets, R and P. R is larger than or equal to ...
4
votes
1answer
74 views

Distributions similar to Normal distribution

Can anyone give me examples of distributions symmetric around the mean but that are more densely concentrated around the mean than the Normal distribution for the same mean and variance? Thanks
5
votes
2answers
74 views

What is the name of a distribution within $[a, b]$ but with a sloped straight line density?

What is the name of a distribution such that it looks like uniform distribution on $[a, b]$, but the density is not a horizontal line, but a line with a certain slope.
1
vote
1answer
22 views

Distribution of log-likelihood gradient

My question is simple: Is there any results regarding the distribution of log-likelihood function gradient? It may be asymptotic results as well.
0
votes
0answers
16 views

Error when using 'mclust' package for mixture model estimation [migrated]

When trying to perform a univariate mixture model estimation, R package mclust produces the following output with an error: ...
1
vote
0answers
18 views

Mixture distribution fitting for latent variable analysis

Are there any analytic approaches to using mixture distribution fitting for latent variable analysis? I'm specifically interested in existing approaches to determining whether mixture components ...
0
votes
2answers
63 views

Alternative to z test for massive samples?

I'm trying to compare a number of large data sets (over 3000 samples per set), when I plot histograms of these distributions I can see two which are clearly different and a z-test confirms this, which ...
0
votes
1answer
20 views

Create a threshold for binary classification problem based on distribution of criterion

I created a criterion for my financial data-set for classify data to two classes for other processing (like neural network binary classificatio). After calculating ...
26
votes
6answers
2k views

How can I analytically prove that randomly dividing an amount results in an exponential distribution (of e.g. income and wealth)?

In this current article in SCIENCE the following is being proposed: Suppose you randomly divide 500 million in income among 10,000 people. There's only one way to give everyone an equal, 50,000 ...
0
votes
0answers
23 views

Terminology and handling of log-normal mixture distributions

The definition of a log-normal distribution of a random variable is based on normality of its logarithm. I'm curious whether there exist a specific term for cases, where log-transformed data does not ...
1
vote
1answer
31 views

Basic conditional sampling question

Let's say that I have a method of sampling from $P(X, \theta \mid Y)$. It seems intuitive that if I drew samples of $(X, \theta)$ and then simply dropped the $\theta$s, this is equivalent to drawing ...
0
votes
0answers
39 views

Calculating the Net Promoter Score for poll data on a 1-5 scale

From Wikipedia The Net Promoter Score is obtained by asking customers a single question on a 0 to 10 rating scale, where 10 is "extremely likely" and 0 is "not at all likely": "How likely is ...
6
votes
2answers
369 views

Distribution hypothesis testing - what is the point of doing it if you can't “accept” your null hypothesis?

Various hypothesis tests, such as the $\chi^{2}$ GOF test, Kolmogorov-Smirnov, Anderson-Darling, etc., follow this basic format: $H_0$: The data follow the given distribution. $H_1$: The data do not ...
2
votes
1answer
63 views

How to verify if values are from Gamma distribution?

I have a set of numbers generated from Gamma distribution. How can I verify that these values were all randomly generated from Gamma or satisfy Gamma distribution?
0
votes
0answers
38 views

Validating Bootstrapped Probability of Survival Results From Small Sample Size Data

Quite often in industry, due to cost and schedule constraints, decisions must be made on small sample size data. I have 4 cycles-to-failure values resulting from running samples to failure in a ...
0
votes
0answers
12 views

Limiting the range of possible values for distribution fitting with GAMLSS in R

I'm trying to fit ST5 distribution for reaction times with GAMLSS. Sometimes mu parameter of the distribution is negative, which is implausible. Is it possible to limit the range of parameter values ...
0
votes
1answer
32 views

Fitting an exponential distribution to data and finding third quartile problem

I have a data-set with range of 0 to 1. I'm fitting a distribution to it in MATLAB using ...
1
vote
2answers
41 views

Exponential distribution hypothesis testing

I want exponential distribution hypothesis testing with MATLAB. Is any test or method for that?
-1
votes
1answer
52 views

What is name of this distribution and can we have 68–95–99.7 rule for it?

I have a distribution like this: What is name of this distribution? As you know we have 68–95–99.7 rule in ...