“NegativeBinomialRandomVariable”的概念、定义、习题解题方法及翻译-数学辞典

单词	NegativeBinomialRandomVariable
释义	negative binomial random variable $X$ is a negative binomial random variable with parameters $r$ and $p$ if $f_{X}(x)={r+x-1\\choose x}p^{r}(1-p)^{x}$ , $x=\\{0,1,...\\}$ Parameters: $\\star$ $r>0$ $\\star$ $p\\in[0,1]$ Syntax: $X\\sim NegBin(r,p)$ Notes: 1. If $r\\in\\mathbb{N}$ , $X$ represents the number of failed Bernoulli trials before the $r$ th success. Note that if $r=1$ the variable is a geometric random variable. 2. $E[X]=r\\frac{1-p}{p}$ 3. $Var[X]=r\\frac{1-p}{p^{2}}$ 4. $M_{X}(t)=(\\frac{p}{1-(1-p)e^{t}})^{r}$
随便看	example of integration by parts involving algebraic manipulation ExampleOfIntegrationOverSphereWithRespectToSurfaceArea example of integration over sphere with respect to surface area ExampleOfIntegrationWithRespectToSurfaceAreaOfAParaboloid example of integration with respect to surface area of a paraboloid ExampleOfIntegrationWithRespectToSurfaceAreaOnAHelicoid example of integration with respect to surface area on a helicoid ExampleOfIntegrationWithRespectToSurfaceAreaOnASphereViewedAsAGraph example of integration with respect to surface area on a sphere viewed as a graph ExampleOfIsogonalTrajectory example of isogonal trajectory ExampleOfJumpDiscontinuity example of jump discontinuity ExampleOfKlein4ring example of Klein 4-ring ExampleOfLatinSquares example of Latin squares ExampleOfLawOfTrichotomyOn example of law of trichotomy on ¡ ExampleOfLinearInvolution example of linear involution ExampleOfLinearLeastSquares example of linear least squares ExampleOfLipschitzCondition example of Lipschitz condition

数学辞典收录了18232条数学词条，基本涵盖了常用数学知识及数学英语单词词组的翻译及用法，是数学学习的有利工具。

negative binomial random variable