Cesàro α-Integrability and Laws of Large Numbers-II

2006 ◽  
Vol 19 (4) ◽  
pp. 789-816 ◽  
Author(s):  
T. K. Chandra ◽  
A. Goswami
Keyword(s):  
Laws Of Large Numbers ◽  
Large Numbers

On the volume of parallel bodies: a probabilistic derivation of the Steiner formula

1995 ◽  
Vol 27 (1) ◽  
pp. 97-101 ◽  
Author(s):  
Richard A. Vitale
Keyword(s):  
Convex Bodies ◽  
Laws Of Large Numbers ◽  
Large Numbers ◽  
Steiner Formula ◽  
Random Convex

We give a proof of the Steiner formula based on the theory of random convex bodies. In particular, we make use of laws of large numbers for both random volumes and random convex bodies themselves.

scholarly journals Laws of large numbers for supercritical branching Gaussian processes

2019 ◽  
Vol 129 (9) ◽  
pp. 3463-3498
Author(s):  
Michael A. Kouritzin ◽  
Khoa Lê ◽  
Deniz Sezer
Keyword(s):  
Gaussian Processes ◽  
Laws Of Large Numbers ◽  
Large Numbers

Laws of large numbers for q-dependent random variables and nonextensive statistical mechanics

2017 ◽  
Vol 31 (15) ◽  
pp. 1750117
Author(s):  
Marco A. S. Trindade
Keyword(s):  
Statistical Mechanics ◽  
Stochastic Processes ◽  
Law Of Large Numbers ◽  
Random Variables ◽  
Nonextensive Statistical Mechanics ◽  
Dependent Random Variables ◽  
Strong Law ◽  
Laws Of Large Numbers ◽  
Large Numbers

In this work, we prove a weak law and a strong law of large numbers through the concept of [Formula: see text]-product for dependent random variables, in the context of nonextensive statistical mechanics. Applications for the consistency of estimators are presented and connections with stochastic processes are discussed.

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