binomial variance - significado y definición. Qué es binomial variance
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Qué (quién) es binomial variance - definición

TAYLOR SERIES
Newton's binomial series; Newton binomial; Newton's binomial; Newton binomial theorem

Binomial sum variance inequality         
Draft:Binomial sum variance inequality
The binomial sum variance inequality states that the variance of the sum of binomially distributed random variables will always be less than or equal to the variance of a binomial variable with the same n and p parameters. In probability theory and statistics, the sum of independent binomial random variables is itself a binomial random variable if all the component variables share the same success probability.
Bias–variance tradeoff         
  • Bias and variance as function of model complexity
PROPERTY OF A SET OF PREDICTIVE MODELS WHEREBY MODELS WITH A LOWER BIAS IN PARAMETER ESTIMATION HAVE A HIGHER VARIANCE OF THE PARAMETER ESTIMATES ACROSS SAMPLES, AND VICE VERSA
Bias variance; Bias-variance tradeoff; Bias-variance dilemma; Bias–variance dilemma; Bias-variance decomposition; Bias–variance decomposition; Bias and variance tradeoff; Bias--variance tradeoff
In statistics and machine learning, the bias–variance tradeoff is the property of a model that the variance of the parameter estimated across samples can be reduced by increasing the bias in the estimated parameters.
Gaussian binomial coefficient         
FAMILY OF POLYNOMIALS
Q-binomial coefficient; Q-binomial; Gaussian coefficient; Gaussian binomial; Q-binomial theorem; Gaussian polynomial; Gaussian polynomials; Gaussian binomial coefficients; Q-binomial coefficients
In mathematics, the Gaussian binomial coefficients (also called Gaussian coefficients, Gaussian polynomials, or q-binomial coefficients) are q-analogs of the binomial coefficients. The Gaussian binomial coefficient, written as \binom nk_q or \begin{bmatrix}n\\ k\end{bmatrix}_q, is a polynomial in q with integer coefficients, whose value when q is set to a prime power counts the number of subspaces of dimension k in a vector space of dimension n over a finite field with q elements.

Wikipedia

Binomial series

In mathematics, the binomial series is a generalization of the polynomial that comes from a binomial formula expression like ( 1 + x ) n {\displaystyle (1+x)^{n}} for a nonnegative integer n {\displaystyle n} . Specifically, the binomial series is the Taylor series for the function f ( x ) = ( 1 + x ) α {\displaystyle f(x)=(1+x)^{\alpha }} centered at x = 0 {\displaystyle x=0} , where α C {\displaystyle \alpha \in \mathbb {C} } and | x | < 1 {\displaystyle |x|<1} . Explicitly,

where the power series on the right-hand side of (1) is expressed in terms of the (generalized) binomial coefficients

( α k ) := α ( α 1 ) ( α 2 ) ( α k + 1 ) k ! . {\displaystyle {\binom {\alpha }{k}}:={\frac {\alpha (\alpha -1)(\alpha -2)\cdots (\alpha -k+1)}{k!}}.}