This paper proves an inequality for a characteristic function of the uniform distribution on a compact convex body D is contained in R~s.A. A. KulikovaYu. V. ProkhorovTheory of probability and its applicationsA. A. Kulikova and Yu. V. Prokhorov. Uniform distributions on con- vex sets: ...
Use the characteristic function found in the previous exercise to derive the variance of . SolutionExercise 3Read and try to understand how the characteristic functions of the uniform and of the exponential distributions are derived in the lectures entitled Uniform distribution and Exponential ...
The chapter discusses the smoothness of a characteristic function and the existence of moments. In general, smoothness refers to properties of functions such as continuity, Lipschitz continuity, differentiability, analyticity, etc., although sometimes the term is used for specific properties. The chapter...
Let F be a distribution function. Its characteristic function belongs to ${\operatorname {Lip}}\alpha ,0 n-dimensional Fourier transform of a radial function reduces to the Hankel transform of a function in one variable. Results similar to those given by Boas are obtained for this transform....
Characteristic velocitycan be calculated asC*=f(γ)T/MW, whereTand MW are the temperature andmolecular weightof thecombustion products, respectively, andf(γ) is a function dependent on the specific heat ratio,γ. The thrust coefficient is an expression that relates the magnification of themoment...
This dataset has a small value range, and the distribution of values is quite uniform. Ideally, visualizing time-varying data should be done while data is being generated, so that users receive immediate feedback on the subject under study and so that the visualization results, rather than the...
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is formal and diverges with probability one. in fact it should be understood as a random generalized function (distribution). though there is no sense in discussing the maxima and its position for generalized functions, the problem is well-defined for the logmod of the characteristic polynomial ...
1) the characteristic function method 特解法 1. And the applicable characteristic of the particular solution method andthe characteristic function methodare given. 讨论了Poisson方程的两种解法,指出了特解法和本征函数法各自适用的特征。 2) particular solutions method ...
He proposed using the self-similar function, s1, to model the velocity field V = (u, v, w) for an eddy centred at (xa,ya,za) and superimposed on a uniform background flow as (11)V=(u,v,w)=s1[(x−xa)ya+(y−ya)ya+(z−za)ya]. Several studies have completed the ...