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Binomial theorem
| Glossary of Statistical Terms |
The binomial theorem says that (x+y)n = xn + nxn−1y + … + nckxn−kyk + … + yn.
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Binomial, английский
Биномиальный
Binomial coefficient, английский
- Combinations
- Биномиальный коэффициент
- The binomial coefficient counts the number of ways n items can be partitioned into two groups, one of size k and the other of size n-k. it is computed as see also: binomial distribution, multinomial coefficient.
Binomial coefficient., английский
See combinations.
Binomial distribution, английский
- This is a special case of the multinomial distribution where the number of possible outcomes is 2. it is the distribution of outcomes expected if a certain number of independent trials are undertaken of a single bernouilli process (e.g. multiple tosses of
- A random variable has a binomial distribution (with parameters n and p) if it is the number of "successes" in a fixed number n of independent random trials, all of which have the same probability p of resulting in "success." under these assumptions, the probability of k successes (and n−k failures) is nck pk(1−p)n−k, where nck is the number of combinations of n objects taken k at a time: nck = n!/(k!(n−k)!). the expected value of a random variable with the binomial distribution is n×p, and the standard error of a random variable with the binomial distribution is (n×p×(1 − p))½. this page shows the probability histogram of the binomial distribution.
- Биномиальное распределение
- The binomial distribution is a basic distribution used in modeling collections of binary events. if events in the collection are assumed to have an identical probability of being a "one" and they occur independently, the number of "ones" in the collection will follow a binomial distribution. when the events can each take on the same set of multiple values but are still otherwise identical and independent, the distribution is called a multinomial. a classic example would be the result of a sequence of six-sided die rolls. if you were interested in the number of times the die showed a 1, 2, . . ., 6, the distribution of states would be multinomial. if you were only interested in the probability of a five or a six, without distinguishing them, there would be two states, and the distribution would be binomial. see also: bernoulli process.
- Биномиальное распределение. основано на положении о том, что если в каждом конкретном событии из двух возможных исходов может появиться только один, тогда допустимо применение теоретического распреде-ления различных комбинаций возможных исходов, при условии что количество событий
- Биномиальное распределение. см. distribution (распределение).
- Биномиальное распределение. основано на положении о том, что если в каждом конкретном событии из двух возможных исходов может появиться только один, тогда допустимо применение теоретического распределения различных комбинаций возможных исходов, при условии что количество событий
Binomial distribution., английский
A random variable has a binomial distribution (with parameters n and p) if it is the number of "successes" in a fixed number n of independent random trials, all of which have the same probability p of resulting in "success." under thes
Binomial equation, английский
Двучленное уравнение
Binomial nomenclature, английский
A universal convention for the scientific naming of organisms using latinized names for genus and species
Binomial option pricing model, английский
An option pricing model in which the underlying asset can assume one of only two possible, discrete values in the next time period for each value that it can take on in the preceding time period.
Binomial series, английский
Биномиальный ряд
Binomial test, английский
This is a statistical test referring to a repeated binary process such as would be expected to generate outcomes with a binomial distribution. a value for the parameter 'p' is hypothesised (null hypothesis) and the difference of the actual value from this
Binomial twist, английский
Theorem, английский
- Теорема
- Теорема ~ of least work теорема о наименьшей работе ~ of minimum potential energy теорема минимума потенциальной энергии ~ of three moments теорема трёх моментов ~ of virtual displacement теорема [принцип] возможных перемещений ~ of virtual work теорема о возможной работе castigliano`s ~s теоремы кастильяно eddy`s - теорема эдди (для вычисления изгибающих моментов в любом сечении арки)
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Htlws, английский
The book how to lie with statistics by d. huff.
Bernoulli`s inequality, английский
The bernoulli inequality says that if x ≥ −1 then (1+x)n ≥ 1 + nx for every integer n ≥ 0. if n is even, the inequality holds for all x.
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