Search results
Results from the WOW.Com Content Network
In mathematics, the moments of a function are certain quantitative measures related to the shape of the function's graph.If the function represents mass density, then the zeroth moment is the total mass, the first moment (normalized by total mass) is the center of mass, and the second moment is the moment of inertia.
For the second-order approximations of the third central moment as well as for the derivation of all higher-order approximations see Appendix D of Ref. [3] Taking into account the quadratic terms of the Taylor series and the third moments of the input variables is referred to as second-order third-moment method. [4]
Similar to convex order, Laplace transform order is established by comparing the expectation of a function of the random variable where the function is from a special class: () = (). This makes the Laplace transform order an integral stochastic order with the generator set given by the function set defined above with α {\displaystyle ...
In probability theory and statistics, a zero-order process is a stochastic process in which each observation is independent of all previous observations. For example, a zero-order process in marketing would be one in which the brands purchased next do not depend on the brands purchased before, implying a fixed probability of purchase since it is zero order in regards to probability.
The first order statistic (or smallest order statistic) is always the minimum of the sample, that is, X ( 1 ) = min { X 1 , … , X n } {\displaystyle X_{(1)}=\min\{\,X_{1},\ldots ,X_{n}\,\}} where, following a common convention, we use upper-case letters to refer to random variables, and lower-case letters (as above) to refer to their actual ...
First-order approximation is the term scientists use for a slightly better answer. [3] Some simplifying assumptions are made, and when a number is needed, an answer with only one significant figure is often given ("the town has 4 × 10 3, or four thousand, residents"). In the case of a first-order approximation, at least one number given is exact.
Stochastic dominance is a partial order between random variables. [1] [2] It is a form of stochastic ordering.The concept arises in decision theory and decision analysis in situations where one gamble (a probability distribution over possible outcomes, also known as prospects) can be ranked as superior to another gamble for a broad class of decision-makers.
Zero-order process (statistics), a sequence of random variables, each independent of the previous ones; Zero order process (chemistry), a chemical reaction in which the rate of change of concentration is independent of the concentrations; Zeroth-order approximation, an approximation of a function by a constant; Zeroth-order logic, a form of ...