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Poisson's ratio. In materials science and solid mechanics, Poisson's ratio ν (nu) is a measure of the Poisson effect, the deformation (expansion or contraction) of a material in directions perpendicular to the specific direction of loading. The value of Poisson's ratio is the negative of the ratio of transverse strain to axial strain.
A discrete random variable X is said to have a Poisson distribution, with parameter if it has a probability mass function given by: [2]: 60 where k is the number of occurrences ( k = 0 , 1 , 2 , … {\displaystyle k=0,1,2,\ldots } ) e is Euler's number ( e = 2.71828 … {\displaystyle e=2.71828\ldots } ) k! = k (k– 1) ··· (3) (2) (1) is the factorial. The positive real number λ is equal ...
A Poisson regression model is sometimes known as a log-linear model, especially when used to model contingency tables. Negative binomial regression is a popular generalization of Poisson regression because it loosens the highly restrictive assumption that the variance is equal to the mean made by the Poisson model.
Poisson limit theorem. In probability theory, the law of rare events or Poisson limit theorem states that the Poisson distribution may be used as an approximation to the binomial distribution, under certain conditions. [1] The theorem was named after Siméon Denis Poisson (1781–1840). A generalization of this theorem is Le Cam's theorem.
mixed Poisson distribution. A mixed Poisson distribution is a univariate discrete probability distribution in stochastics. It results from assuming that the conditional distribution of a random variable, given the value of the rate parameter, is a Poisson distribution, and that the rate parameter itself is considered as a random variable.
Islam in Malaysia is represented by the Shafi‘i school of Sunni jurisprudence. [2][3] Islam was introduced to Malaysia by traders arriving from Persia, Arabia, China and the Indian subcontinent.
Compound Poisson distribution. In probability theory, a compound Poisson distribution is the probability distribution of the sum of a number of independent identically-distributed random variables, where the number of terms to be added is itself a Poisson-distributed variable. The result can be either a continuous or a discrete distribution.
Islam has been practiced in China since the 7th century CE. [1] There are an estimated 17–25 million Muslims in China, less than 2 percent of the total population. [2] Though Hui Muslims are the most numerous group, [3][4] the greatest concentration of Muslims reside in northwestern China's Xinjiang autonomous region, which contains a significant Uyghur population. Lesser yet significant ...