multpdf
This m-file returns the multinomial probability density function value with parameters N and P at the values in X. Note that the density function is zero unless X is an integer.
Let {X1, X2, . . . , Xk}, k > 1, be a set of random variables, each of which can take the values 0, 1, . . . , n. Suppose there are k nonnegative numbers {p1, p2, . . . , pk} that sum to one, such that for every set of k nonnegative integers {n1, . . . , nk} whose sum is n, P( X1 = n1 and X2 = n1 and . . . and Xk = nk ) =
n!
------------------------×p1^n1×p2^n2×..×pk^nk .
n1!×n2!×..×nk!
Then {X1, X1, . . . , Xk} have a multinomial joint distribution with parameters n and p1, p2, . . . , pk. The parameter n is called the number of trials; the parameters p1, p2, . . . , pk are called the category probabilities; k is called the number of categories.
File needs to input n-number of trials, p-vector of associated probabilities and x-vector of the interested values.
It output the multinomial probability density value.
Cite As
Antonio Trujillo-Ortiz (2024). multpdf (https://www.mathworks.com/matlabcentral/fileexchange/6785-multpdf), MATLAB Central File Exchange. Retrieved .
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- AI, Data Science, and Statistics > Statistics and Machine Learning Toolbox > Probability Distributions > Discrete Distributions > Multinomial Distribution >
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Version | Published | Release Notes | |
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1.0.0.0 | Text was improved. |