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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.
The Poisson distribution is an appropriate model if the following assumptions are true: k is the number of times an event occurs in an interval and k can take values 0, 1, 2, ... . The occurrence of one event does not affect the probability that a second event will occur. That is, events occur independently.
Poisson number can refer to: In mechanics, the reciprocal of Poisson's ratio. 1 / v. In statistics, a number drawn from a Poisson distribution
Descriptive Statistics. For a displaced Poisson-distributed random variable, the mean is equal to and the variance is equal to . The mode of a displaced Poisson-distributed random variable are the integer values bounded by and when . When , there is a single mode at . The first cumulant is equal to and all subsequent cumulants are equal to .
Wizard191, the Poisson's ratio has a precisely defined meaning in linear elasticity as a scaling factor for terms in the stiffness tensor. Therefore it is a measure of stiffness though it is dimensionless. The Young's modulus, which is the other stiffness measure in linear elasticity, is also an intensive property.
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The ratio estimator is a statistical estimator for the ratio of means of two random variables. Ratio estimates are biased and corrections must be made when they are used in experimental or survey work. The ratio estimates are asymmetrical and symmetrical tests such as the t test should not be used to generate confidence intervals.