Questions tagged [truncated-distributions]
A truncated distribution is one that is cut off at some value, either at the low or high end of the distribution, or both.
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How to get a random function with a truncated normal distribution? [duplicate]
My goal is to have a function that given an input value will output a random value that follow a truncated normal distribution, could you please suggest a function that can do that ? Or guide me a ...
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Dealing with measurements falling outside of the theoretical range/boundaries of the data
Imagine I am measuring a bounded variable (with a maximum possible value above which the data doesn't make sense) and I end up with the following dataset with my measurements and measurement errors as ...
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JAGS: impose bounds on a multinomial distribution?
In JAGS, I am working with data that have missing observations of a count. I know two things about each missing observation: (1) All missing counts were observed by the CDC but numbered from 0 to 9. (...
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Calculating the expected value of truncated normal
Using the mills ratio result, let $X \sim N(\mu, \sigma^2)$, then
$E(X| X<\alpha) = \mu - \sigma\frac{\phi(\frac{a- \mu}{\sigma})}{\Phi(\frac{a-\mu}{\sigma})}$
However, when calculating it in R. ...
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How to properly truncate exponential distribution to represent random memory-less arrivals?
Typically, Poisson and exponential distributions are used to represent random memory-less arrival processes. It has come to my attention, however, that a more realistic distribution is a truncated (or ...
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Distribution of (bounded) quiz scores
Our office does the daily quiz. Mostly we get around 8/10. We can not go outside the range 0-10, and at both those limits there is a non-zero probability. What parametric distribution might be ...
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Truncated Gamma Distribution
The Gamma distribution is the conjugate prior of Poisson distribution. What about the Truncated Gamma distribution? Is it still the conjugate prior of Poisson distribution?
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Mean of truncated distribution
Is the mean of a left truncated distribution always greater than equal to the original mean? Or is that only for certain distributions?
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Mean of a truncated non-standard beta distribution
I have a non-standard beta distribution in the interval [-0.02 , 0.005] (as opposed to [0,1]).
I know its mean and variance (and thus α and β).
I want to calculate the mean of its truncation to [0 , ...
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Correcting biased probability from sample of only cases with at least one occurence
I have purchasing data over time for individuals, and am trying to figure out the annual probability of people in a given age cohort making a purchase. (Max purchases/year is 1). The problem is that ...
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Mean of truncated gamma distribution using threshold
Given a gamma distribution with PDF:
$f(x;\alpha;\beta) = \frac{x^{\alpha-1} e^{-\frac{x}{\beta}}}{\Gamma(\alpha) \beta^\alpha}$
with a shape parameter $\alpha > 0$, a scale parameter $\beta > ...
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How to paramaterise a known distribution with mean, standard deviation and fixed upper and lower bounds?
I am looking for something resembling the normal distribution but which is capped at 0 and some size N. The average can be at any point between 0 and N, and there exists a specified standard deviation....
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Linear regression: how to treat an explanatory variable that is discrete but does not have a natural zero
Background/study system:
One of my MS students is studying the biomechanics of strand breakage in Spanish moss (an epiphyte--or plant that lives on other plants). Spanish moss has strands that can ...
