# Questions tagged [multinomial-distribution]

A multivariate, discrete probability distribution used to describe the results of a random experiment where each of $n$ outcomes are placed into one of $k$ nominal categories.

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### How to calculate the combinations probability of X>values given a frequency distribution

Lets imagine I have the following distribution of values: Value N Cases % 0 60 60 1 20 20 2 10 10 3 8. 8 4 2. 2 Assuming independence of events and no order: What is the probability of a ...
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1 vote
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### Distibution of the number of trials required to see all possible outcomes

In the simplest case given a set of N items is the distribution for the number of draws with replacement before all items are seen? This is the case I really need. More generally what is the ...
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### Modelling Fixed and Random effect using 'glmer' function with response variable having 4 categories

I am doing doctoral study where I am trying to model 'Human - Wild Animal Conflict'. My response variable is Type of Injury sustained (4 Categories from Low to High Injury). Predictors are mix of ...
1 vote
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### Power Calculation for Annotating Data

I need a power calculation for annotating data. We draw from a database of customer complaints with two separate labels. One for the product and then another for the customer's complaint. We change ...
1 vote
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### Implementing Multinomial Logistic Classification

I have a dataset that has probability labels instead of one-hot-encoded labels AND I'd like to keep it that way. The probabilities of each sample is information that I'd like to influence the loss ...
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### Latent class Analysis covariates in prior and differences in distribution family for the response variable

I am trying to identify the level of risk in some municipalities in Colombia based on violent events using a latent class model. I have two response variables, one based on actual violent events (...
1 vote
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1 vote
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### How to get overall p-value in multinomial regression after MICE on R

I run multinomial regression after multiple imputation in R. This is a GEE multinomial model with a survey design : ...
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### Cumulative sums of two competing multinomial distributions

Related to this: https://math.stackexchange.com/questions/1977628/dice-roll-cumulative-sum Take an example of turn-based RPGs. $A$ and $B$ are two competing game entities, with hit point totals $n_A$ ...
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### How to sample $n$ observations from a multinomial distribution using binomial (or poisson) sampling?

Context I have $n$ observations which I'd like to sample with replacement for the purpose of bootstrap. A way to think about it is that we have a multinomial distribution with $n$ classes and that we'...
Say I have two independent random vectors $X_c$ and $X_f$. The random vector $X_c$ is composed by three random variables: $X_{1c}$, $X_{2c}$ and $X_{3c}$. The second random vector $X_f$ is composed by ...