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binomial |
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binomial (bī'nō`mēəl), polynomial expression (see polynomial polynomial, mathematical expression which is a finite sum, each term being a constant times a product of one or more variables raised to powers. With only one variable the general form of a polynomial is a0xn+a ..... Click the link for more information. ) containing two terms, for example, x+y. The binomial theorem, or binomial formula, gives the expansion of the nth power of a binomial (x+y) for n=1, 2, 3, … , as follows: where the ellipsis (…) indicates a continuation of terms following the same pattern. For example, using the formula and reducing fractions, one obtains (x+y)5=x5+5x4y+10x3y2+10x2y3+5xy4+y5. The coefficients 1, n, n (n−1)/1·2, etc., of x and y may also be found from an array known as Pascal's triangle (for Blaise Pascal Pascal, Blaise (blĕz päskäl`), 1623–62, French scientist and religious philosopher. ..... Click the link for more information. ), formed by adding adjacent numbers to find the number below them as follows: binomial 1. a mathematical expression consisting of two terms, such as 3x + 2y 2. a two-part taxonomic name for an animal or plant 3. referring to two names or terms How to thank TFD for its existence? Tell a friend about us, add a link to this page, add the site to iGoogle, or visit webmaster's page for free fun content. |
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| Because the data were overdispersed, the zero-truncated negative binomial distribution fit the data better than the zero-truncated Poisson distribution based on the likelihood-ratio test. A lattice model assumes the price of stock underlying an option follows a binomial distribution, a type of probability distribution in which the underlying event has only one of two possible outcomes. Parameters were estimated using maximum likelihood techniques assuming a binomial distribution for the tumor counts and their standard errors estimated using sandwich estimators (Zhang et al. |
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