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hi I'm working on a problem where $\bf{X}=${$x_1,x_2,...,x_N$} has a multivariate hypergeometric distribution $p(\bf{X}=x)=\frac{\binom{N}{x_1}\binom{N}{x_2}\ldots\binom{N}{x_N}}{\binom{n}{T}}$. I'm intersted on papers or book books that deal with the probability of a certain type of vectors . For example : what is and order statistic of the probability that there are exactly $s$ variables $x_i>a$. An upper bound will also help..k'th element or so...thanks, |
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hi I'm working on a problem where $\bf{X}=${$x_1,x_2,...,x_N$} has a multivariate hypergeometric distribution $p(\bf{X}=x)=\frac{\binom{N}{x_1}\binom{N}{x_2}\ldots\binom{N}{x_N}}{\binom{n}{T}}$. I'm intersted on papers or book that deal with the probability of a certain type of vectors. For example : what is the probability that there are exactly $s$ variables $x_i>a$. An upper bound will also help... thanks, |
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multivariate hypergeometric distributionhi I'm working on a problem where $\bf{X}=${$x_1,x_2,...,x_N$} has a multivariate hypergeometric distribution $p(\bf{X}=x)=\frac{\binom{N}{x_1}\binom{N}{x_2}\ldots\binom{N}{x_N}}{\binom{n}{T}}$. I'm intersted on papers or book that deal with the probability of a certain type of vectors. For example : what is the probability that there are exactly $s$ variables $x_i>a$. thanks,
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