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In probability theory and statistics, the negative multinomial distribution is a generalization of the negative binomial distribution (NB(x 0, p)) to more than two outcomes. [ 1 ] As with the univariate negative binomial distribution, if the parameter x 0 {\displaystyle x_{0}} is a positive integer, the negative multinomial distribution has an ...
Languages where multiple negatives affirm each other are said to have negative concord or emphatic negation. [1] Lithuanian, Portuguese, Persian, French, Russian, Polish, Bulgarian, Greek, Spanish, Icelandic, Old English, Italian, Afrikaans, and Hebrew are examples of negative-concord languages.
For example, 10 is a multiple of 5 because 5 × 2 = 10, so 10 is divisible by 5 and 2. Because 10 is the smallest positive integer that is divisible by both 5 and 2, it is the least common multiple of 5 and 2. By the same principle, 10 is the least common multiple of −5 and −2 as well.
The negative hypergeometric distribution, a distribution which describes the number of attempts needed to get the nth success in a series of Yes/No experiments without replacement. The Poisson binomial distribution, which describes the number of successes in a series of independent Yes/No experiments with different success probabilities.
Examples include e and π. Trigonometric number: Any number that is the sine or cosine of a rational multiple of π. Quadratic surd: A root of a quadratic equation with rational coefficients. Such a number is algebraic and can be expressed as the sum of a rational number and the square root of a rational number.
All covariances are negative because for fixed n, an increase in one component of a multinomial vector requires a decrease in another component. When these expressions are combined into a matrix with i, j element cov ( X i , X j ) , {\displaystyle \operatorname {cov} (X_{i},X_{j}),} the result is a k × k positive-semidefinite covariance ...
The term false discovery rate (FDR) was used by Colquhoun (2014) [4] to mean the probability that a "significant" result was a false positive. Later Colquhoun (2017) [2] used the term false positive risk (FPR) for the same quantity, to avoid confusion with the term FDR as used by people who work on multiple comparisons.
It is denoted / or / (the notation refers to taking the quotient of integers modulo the ideal or () consisting of the multiples of n). Outside of number theory the simpler notation Z n {\displaystyle \mathbb {Z} _{n}} is often used, though it can be confused with the p -adic integers when n is a prime number.