A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2012; you can also visit the original URL.
The file type is `application/pdf`

.

## Filters

##
###
Gaming the Law of Large Numbers

2013
*
Mathematics Teacher
*

We developed

doi:10.5951/mathteacher.106.5.0378
fatcat:ezezffrz4feklgr4aemk55opvq
*the*rules for Fibber's Dice by directly adapting*the*rules*of*Liar's Dice found at [3] . These modifications make*the*game more suitable for*the*classroom. ... Conclusion It is our hope that you try out Fibber's Dice, have fun, be daring, and experience*the**law**of**large**numbers*. ... Fibber's Dice illustrates*the*connection between these ideas.*The*notions*of*probability and relative frequency are glued together via*the**law**of**large**numbers*. ...##
###
Large games and the law of large numbers

2008
*
Games and Economic Behavior
*

Randomness can be modeled explicitly and an exact

doi:10.1016/j.geb.2007.11.002
fatcat:nxc5kp63srallj7wbra5agktfq
*law**of**large**numbers*holds. ... This paper introduces discrete*large*games where*the*set*of*players is a countable dense 'grid' with a finitely additive distribution. ... I am grateful to Ehud Kalai for many insightful conversations, and to Nenad Kos for his comments and careful reading*of**the*paper. ...##
###
On the Law of Large Numbers

1928
*
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
*

LINFOOT ON

doi:10.1098/rsta.1928.0011
fatcat:tpi3xrvzdvhtdpm2rzigsfibim
*THE**LAW**OF**LARGE**NUMBERS*. ... LINPOOT ON*THE**LAW*OP*LARGE**NUMBERS*. ... v alu es*of*i. ...##
###
The Law of Large Numbers for Large Stable Matchings
[article]

2021
*
arXiv
*
pre-print

In an empirical study

arXiv:2101.00399v3
fatcat:ed5xmrpfsraehjvno3f2xhx5s4
*of*a two-sided*large*matching market (such as a college admissions problem),*the*primary statistics*of*interest are often*the*empirical matching probabilities which represent*the*... We introduce a notion*of*partial homogeneity*of*preferences to express*the*degree*of*alignment in*the*preferences*of*colleges over students, and show that*the*more*the*preferences are aligned,*the*more ... When*the*statistic*of*interest takes*the*form*of*a sum*of*random variables, concentration-*of*-measure naturally yields*the*rate*of*convergence for a*law**of**large**numbers*. ...##
###
On the strong law of large numbers

1970
*
Proceedings of the American Mathematical Society
*

Indeed, this

doi:10.1090/s0002-9939-1970-0259993-9
fatcat:lkbdv4hevra6laonkaasx3br2e
*law*may be formulated in terms*of*this counting variable as in*the*following. Strong*law**of**large**numbers*. ... ^(X)-Then ATM(X) = Jji" Yk(\) is precisely*the*"finitely many" random variable*of**the*Strong*Law**of**Large**Numbers*. ...##
###
On the strong law of large numbers

1949
*
Transactions of the American Mathematical Society
*

In a recent paper Kac, Salem, and Zygmund(') prove ( (2) lim -(X/(W) = 0, JV-A7 \ 4=1 / or roughly speaking

doi:10.1090/s0002-9947-1949-0032971-4
fatcat:ksfyb3mk6vh2xe26ie336zio54
*the*strong*law**of**large**numbers*holds lor f(nkx) (in fact*the*authors prove that 2~2f(nkx ... Hence it will suffice to show that for every e and sufficiently*large*k*the*measure*of**the*set in x satisfying at least one*of**the*inequalities (10) is greater than 1-e. ...##
###
The Essence of the Law of Large Numbers
[chapter]

1995
*
Algorithms, Fractals, and Dynamics
*

Now we can state

doi:10.1007/978-1-4613-0321-3_11
fatcat:5vgwogwp5bbuzdc6r5r5vzjy4q
*the*BASIC*LAW**OF**LARGE**NUMBERS*: ...*The**law**of**large**numbers*, not really a*law*but a mathematical theorem, is at*the*same time a justification for application*of*statistics and an essential tool for*the*mathematical theory*of*probability ...##
###
The Reverse of The Law of Large Numbers
[article]

2008
*
arXiv
*
pre-print

an "reverse" to

arXiv:0803.3913v1
fatcat:biforam46zco7lek3xmgeuijlu
*the**law**of**large**numbers*. ...*The**Law**of**Large**Numbers*tells us that as*the*sample size (N) is increased,*the*sample mean converges on*the*population mean, provided that*the*latter exists. ... We termed this result as*the*"*Law**of*Many Outcomes", or alternatively,*the*"Reverse*of**the**Law**of**Large**Numbers*". ...##
###
Laws of large numbers for the number of weak records

2008
*
Statistics and Probability Letters
*

Acknowledgements

doi:10.1016/j.spl.2008.01.067
fatcat:ta6ruue2erdctlvjzynetp5hhq
*The*first author thanks*the*Departamento de Métodos Estadísticos*of*Universidad de Zaragoza for kind hospitality. ... Strong*laws**of**large**numbers*for*the**number**of*(ordinary) records in discrete models were given in Gouet et al. (2001) . ... Now,*the*idea*of**the*proof is to check (14) and (15)*of*Proposition 4.1 to obtain a strong*law**of**large**numbers*for S n defined in Proposition 2.1 (a) As lim sup k→∞ r k < 1, there exists δ > 0 such ...##
###
Schoenberg's Theorem via the law of large numbers
[article]

2005
*
arXiv
*
pre-print

We present a non-technical derivation

arXiv:math/0504603v2
fatcat:53udmhsf4ndifildy6y3er2c7a
*of**of*Schoenberg's theorem that relies chiefly on*the*de Finneti theorem and*the**law**of**large**numbers**of*classical probability theory. ... A classical theorem*of*S. Bochner states that a function $f:R^n \to C$ is*the*Fourier transform*of*a finite Borel measure if and only if $f$ is positive definite. In 1938, I. ...*The*simplest form*of**the**law**of**large**numbers*dictates that n i=1 X 2 i /n → VarX 1 = t 2 in probability. ...##
###
Aggregation and the law of large numbers in large economies

2004
*
Games and Economic Behavior
*

In this model,

doi:10.1016/s0899-8256(03)00175-1
fatcat:673k2wndpvfoppfgbpoiqqc3ee
*the**law**of**large**numbers*is meaningful and holds on all subintervals. ... This framework provides, among other things, a new interpretation*of**the*measurability problem and*the*failure*of**the**law**of**large**numbers*in*the*continuum. ... That is,*the*conclusion*of**the**law**of**large**numbers*for*the*discrete model, Eq. (7) , fails. ...##
###
A version of the law of large numbers

2001
*
Colloquium Mathematicum
*

By

doi:10.4064/cm90-2-9
fatcat:ma24heudpvento4jm42beenzrm
*the*method*of*Rio [10 ... By using*the*following*law**of**large**numbers*for a quasi-orthogonal sequence (cf. e.g. Stout [11, Th. 3.7 .3]), we have*the**law**of**large**numbers*on [0, 1] × [b, b + 1]. Theorem A. ... In this paper we are concerned with*the**law**of**large**numbers*(1) lim N →∞ 1 N N k=1 f (λ k x) = 1 0 f (y) dy for a.e. x, where f is a function with period 1. ...##
###
On the strong law of large numbers for φ-subgaussian random variables
[article]

2021
*
arXiv
*
pre-print

This result is a generalization

arXiv:1607.03035v4
fatcat:35sbii2sjfdddiki4aleydftti
*of**the*SLLN for independent subgaussian random variables (Taylor and Hu \cite{TayHu}) to*the*case*of*dependent $\varphi_p$-subgaussian random variables. ... We prove that if for a sequence $(\xi_n)\subset Sub_{\varphi_p}$ ($p>1$) there exist positive constants $c$ and $\alpha$ such that for every natural*number*$n$*the*following inequality $\tau_{\varphi_p ...*The*strong*law**of**large**numbers*for various classes*of*many type associated random variables one can find for instance in Bulinski and Shashkin [2, Chap. 4] . ...##
###
Functional strong law of large numbers for Betti numbers in the tail
[article]

2021
*
arXiv
*
pre-print

*The*nature

*of*

*the*obtained

*law*

*of*

*large*

*numbers*is determined by

*the*decay rate

*of*a probability density. ... We establish

*the*functional strong

*law*

*of*

*large*

*numbers*for Betti

*numbers*, a basic quantifier

*of*algebraic topology,

*of*a geometric complex outside an open ball

*of*radius $R_n$, such that $R_n\to\infty ... Functional strong

*law*

*of*

*large*

*numbers*We develop two main theorems in this section. ...

##
###
Convergence rates in the law of large numbers

1963
*
Bulletin of the American Mathematical Society
*

Since ^1, this theorem concerns sequences

doi:10.1090/s0002-9904-1963-11027-7
fatcat:zgrk3sklqnf7dd3vp7kb34puqi
*of*independent and identically distributed random variables for which*the*Strong*Law**of**Large**Numbers*holds and thus it is natural to study*the*rate*of*convergence ... Let {X i :i=l 1 2, • • • } be a sequence*of*independent and identically distributed random variables and let S n = XXi ^*« ^e" cently a*number**of*papers [l], [2] , [3] and [5] have considered*the*...
« Previous

*Showing results 1 — 15 out of 2,570,603 results*