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On the Calculation of the Distribution Function

Physical Review, 1942
Not ...
Ufford, C. W., Wigner, Eugene P.
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ESTIMATION OF A DISTRIBUTION FUNCTION DOMINATING STOCHASTICALLY A KNOWN DISTRIBUTION FUNCTION

Australian Journal of Statistics, 1992
SummaryThis paper considers the problem of estimating a cumulative distribution function (cdf), when it is known a priori to dominate a known cdf. The estimator considered is obtained by adjusting the empirical cdf using the prior information. This adjusted estimator is shown to be consistent, its limiting distribution is found, and its mean squared ...
Puri, Prem S., Singh, Harshinder
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Arithmetical Functions and Distributivity

Canadian Mathematical Bulletin, 1970
In this note we shall present a result about incidence functions on a locally finite partially ordered set, a result which is related to theorems of Lambek [2] and Subbarao [6]. Our terminology and notation will be that of Smith [4, 5] and Rota [7].Let (L, ≤) be a partially ordered set which is locally finite in the sense that for all x, y ∊ L the ...
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Distributed Value Functions

2018
Many interesting problems, such as power grids, network switches, and traffic flow, thatare candidates for solving with reinforcementlearning (RL), also have properties that makedistributed solutions desirable. We propose an algorithm for distributed reinforcement learning based on distributing the representation of the value function across nodes ...
Jeff G. Schneider   +3 more
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Distribution Functions and Positive-Definite Functions

The Annals of Mathematics, 1934
The distribution of the values of a real almost periodic function or more generally of an almost periodic curve in several dimensions has been investigated lately by Wintner, Haviland and others.' One of the methods applied by Wintner depends on the use of Fourier transforms and is as such a standard method in the theory of probability.
Bochner, Salomon, Jessen, B.
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On the distributional compositions of functions and distributions

Integral Transforms and Special Functions, 2009
One-argument and two-argument operations of distributional composition are studied for real-valued functions and distributions on ℝ. Several results are proved on the existence of the distributional composition [g]° [f] for functions (and on the consistency with the usual functional composition g° f) as well as for distributions, e.g.
Piotr Antosik   +2 more
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Molecular distribution functions

1974
Abstract In this chapter, we introduce the concepts of molecular distribution function (MDF), in one- and multicomponent systems. The MDFs are the fundamental ingredients in the modern molecular theories of liquids and liquid mixtures.
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Duality of Distribution Functions

Mathematische Nachrichten, 1986
The author considers distribution functions (d.f.) F of non-negative random variables. If \(x\geq 0\) is a continuity point then F can be represented by the two inversion formulas \[ F(x)=(2/\pi)\int^{\infty}_{0}\sin xu \frac{Re f(u)}{u} du\quad and\quad 1-F(x)=(2/\pi)\int^{\infty}_{0}\cos xu \frac{Im f(u)}{u} du.
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On the Distribution Functions of Almost Periodic Functions

American Journal of Mathematics, 1938
Introduction. While it is known 1 that every almost periodic function z (t), oo < t < + oo, has an asymptotic distribution function u, very little is known about sufficient conditions which, when imposed on z(t), insure a preassigned degree of smoothness for the function u.
Hartman, Philip   +2 more
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Median Aggregation of Distribution Functions

Decision Analysis, 2013
When multiple redundant probabilistic judgments are obtained from subject matter experts, it is common practice to aggregate their differing views into a single probability or distribution. Although many methods have been proposed for mathematical aggregation, no single procedure has gained universal acceptance. The most widely used procedure is simple
Stephen C. Hora   +3 more
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