multinomial love

# multinomial

## Definitions

### from The Century Dictionary.

• noun Same as polynomial.

### from the GNU version of the Collaborative International Dictionary of English.

• (Alg.) Same as polynomial.

• noun mathematics polynomial

• adjective having the character of a polynomial
• noun a mathematical function that is the sum of a number of terms

## Etymologies

### from The American Heritage® Dictionary of the English Language, 4th Edition

[multi– + (bi)nomial.]

multi- + -nomial

## Examples

• These developments, now called the multinomial logit model and the random utility model for choice behavior, have turned out to be widely useful in economics and other social sciences.

• But of course the variations within England DO take account of variations, albeit imperfectly, and the question we should probably be asking rather than: "How far from £7,362 are we? would be "How does the above list vary from the amount that might be generated by the huge multinomial equation accounting for these and other pertinent factors?

• Effects of ethnic/racial diversity among students and faculty on cognitive growth of undergraduate students are estimated via a series of hierarchical linear and multinomial logistic regression models.

• McFadden used it to develop his own multinomial logit model, a mathematical formula that assigns preference values to discrete choices for calculating the probability of each choice cf. discrete sets.

Korea University: Daniel McFadden's Lecture Horace Jeffery Hodges 2005

• Demonstrations of general theorems; contracted method of division and of finding the highest common divisor of polynominals; theory of indices and radicals; discussion of equations; mathematical infinity, infinitesimals and indeterminate quantities; summation and interpolation of series; theory of logarithms; binomial, multinomial and exponential theorems; theory of probabilities general theory and solution of equations of the higher orders; symbolical representation and properties of numbers; different systems of notation, etc., constituting the philosophy of Arithmetic.

A Catalogue of the Officers and Students of The Furman University, for 1860-'61 Furman University 1861

• I (x) of the archetype's text (message x) is The expression on the right is the logarithm of the multinomial probability of the particular set of numbers

PLoS ONE Alerts: New Articles John L. Cisne et al. 2010

• Sampling error was estimated assuming a multinomial distribution (not shown) and indicated that estimates of relative abundance are accurate +/− 5% for dominant organisms given the number of Sanger reads obtained, and +/− 1% for pyrosequencing reads.

PLoS ONE Alerts: New Articles Jenna L. Morgan et al. 2010

• Here we use the EM algorithm to obtain the maximum likelihood estimate of multinomial random variables with probabilities.

PLoS ONE Alerts: New Articles Ning Li et al. 2010

• Originally Posted by abhi@007 hey puys can u give me the rough idea of a multinomial theorem

unknown title 2009

• Re: official quant thread for CAT 2009Re: official quant thread for CAT 2009hey puys can u give me the rough idea of a multinomial theoremRe: official quant thread for CAT 2009Re: official quant thread for CAT 2009

unknown title 2009