{"articles":{"multinomial-distribution@distributions":{"content":"<p>Let \\(d\\) be the number of groups that are counted. A multinomial distribution assigns a probability to a count vector \\(\\mathbf{x}\\). Parameter \\(n\\) controls the number of observations. Parameter vector \\({\\mathbf{p} = {\\left[#1\\right]}}\\) gives the probability of an observation being from each group. \\({p }\\)\\[{\\mathbf{x} \\mapsto{} {{\\genfrac{(}{)}{0pt}{}{n}{{{n}_{1}, {n}_{2}, \\dots, {n}_{d}}}}}} {{p}_{1}}^{{n}_{1}} {{p}_{2}}^{{n}_{2}} \\cdots{} {{p}_{d}}^{{n}_{d}}}\\]</p>","names":[[["Multinomial distribution",""]]]}},"style":"Notion"}