Results 31 to 40 of about 1,682,384 (202)

Central and Local Limit Theorems for Numbers of the Tribonacci Triangle

open access: yesMathematics, 2021
In this research, we continue studying limit theorems for combinatorial numbers satisfying a class of triangular arrays. Using the general results of Hwang and Bender, we obtain a constructive proof of the central limit theorem, specifying the rate of ...
Igoris Belovas
doaj   +1 more source

Central and local limit theorems for the weighted Delannoy numbers

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2022
In this research we generalize our result for numbers satisfying the Delannoy triangle. We obtain a central limit theorem and a local limit theorem for weighted numbers of the triangle and establish the rate of convergence to the limiting (normal ...
Belovas Igoris
doaj   +1 more source

A MEAN CONVERGENCE THEOREM FOR TRIANGULAR ARRAYS OF ROWWISE AND PAIRWISE mn-DEPENDENT RANDOM VARIABLES

open access: yesTạp chí Khoa học, 2023
This paper establishes a mean convergence theorem for triangular arrays of rowwise and pairwise mn-dependent random variables. Some authors studied limit theorems for sequences of pairwise m-dependent random variables where m is fixed (see, e.g ...
Le Van Thanh, Pham Nhu Y
doaj   +1 more source

Central Limit Theorem for Coloured Hard Dimers

open access: yesJournal of Probability and Statistics, 2010
We study the central limit theorem for a class of coloured graphs. This means that we investigate the limit behavior of certain random variables whose values are combinatorial parameters associated to these graphs.
Maria Simonetta Bernabei, Horst Thaler
doaj   +1 more source

Tauberian theorems for limitation methods admitting a central limit theorem

open access: yesMathematische Zeitschrift, 1976
If t is restricted to the integers, the method is a special case of the Sonnenschein methods (Zeller and Beekman [-16], p. 185) and as such admits a probabilistic interpretation. As general references to probability theory we mention Chung [-2], Parzen [-11], Feller [-5], Breiman [,1]. Let X 1, X 2 . . . .
Schmaal, A., Stam, A.J., Vries, T. de
openaire   +2 more sources

Stable limits for empirical processes on vapnik-cervonenk is classes of functions [PDF]

open access: yes, 1991
Alexander' s (1987) central limit theorem for empirical processes on Vapnik-Cervonenkis classes of functions is extended to the case with non-Gaussian stable limits.
Romo, Juan
core   +1 more source

Central limit theorems for sub-linear expectation under the Lindeberg condition

open access: yesJournal of Inequalities and Applications, 2018
In this paper, we investigate the central limit theorems for sub-linear expectation for a sequence of independent random variables without assumption of identical distribution. We first give a bound on the distance between the normalized sum distribution
Cheng Hu
doaj   +1 more source

Limit theorems for monochromatic stars

open access: yesRandom Structures & Algorithms, 2019
LetT(K1,r,Gn) be the number of monochromatic copies of ther‐starK1,rin a uniformly random coloring of the vertices of the graphGn. In this paper we provide a complete characterization of the limiting distribution ofT(K1,r,Gn), in the regime whereis bounded, for any growing sequence of graphsGn.
Bhaswar B. Bhattacharya, Sumit Mukherjee
openaire   +5 more sources

Determination of the limit load of statically indeterminate truss girders [PDF]

open access: yesFacta Universitatis. Series: Architecture and Civil Engineering, 2011
The paper presents the procedure of limit load calculation of elasto-plastic trusses exposed to the action of proportional load which is gradually increased until the formation of failure mechanism.
Petrović Žarko   +3 more
doaj   +1 more source

Limit Theorems for Twists of L-Functions of Elliptic Curves. IV

open access: yesMathematical Modelling and Analysis, 2014
In this paper, we prove a multidimensional limit theorem for moduli of twists of L-functions of elliptic curves. The limit measure in this theorem is defined by the characteristic transforms.
Virginija Garbaliauskienė   +1 more
doaj   +1 more source

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