Strong Laws of Large Numbers for Double Sums of Banach Space Valued Random Elements
Sign Up to like & getrecommendations! Published in 2019 at "Acta Mathematica Sinica, English Series"
DOI: 10.1007/s10114-019-8058-5
Abstract: For a double array {Vm,n,m ≥ 1, n ≥ 1} of independent, mean 0 random elements in a real separable Rademacher type p (1 ≤ p ≤ 2) Banach space and an increasing double array… read more here.
Keywords: large numbers; random elements; banach space; leq leq ... See more keywords
Functional strong laws of large numbers for Euler characteristic processes of extreme sample clouds
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DOI: 10.1007/s10687-021-00419-1
Abstract: This study demonstrates functional strong law large numbers for the Euler characteristic process of random geometric complexes formed by random points outside of an expanding ball in $\mathbb{R}^d$, in two distinct extreme value theoretic scenarios.… read more here.
Keywords: large numbers; functional strong; numbers euler; process ... See more keywords
The Role of Context for Characterising Students’ Strategies when Estimating Large Numbers of Elements on a Surface
Sign Up to like & getrecommendations! Published in 2020 at "International Journal of Science and Mathematics Education"
DOI: 10.1007/s10763-020-10107-4
Abstract: This paper presents a qualitative study developed with a group of 16-year-old students who were asked to estimate large numbers of elements on a bounded surface. Taking the realistic mathematics education framework as a reference,… read more here.
Keywords: mathematics; context; role context; large numbers ... See more keywords
On the Strong Law of Large Numbers for a Sequence of Independent Random Variables
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DOI: 10.1007/s10958-017-3493-2
Abstract: New sufficient conditions for the applicability of the strong law of large numbers are established for a sequence of independent random variables. read more here.
Keywords: strong law; random variables; law large; large numbers ... See more keywords
Laws of Large Numbers for Non-Homogeneous Markov Systems
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DOI: 10.1007/s11009-017-9612-1
Abstract: In the present we establish Laws of Large Numbers for Non-Homogeneous Markov Systems and Cyclic Non-homogeneous Markov systems. We start with a theorem, where we establish, that for a NHMS under certain conditions, the fraction… read more here.
Keywords: numbers non; markov systems; laws large; non homogeneous ... See more keywords
On the Weak Laws of Large Numbers for Compound Random Sums of Independent Random Variables with Convergence Rates
Sign Up to like & getrecommendations! Published in 2021 at "Bulletin of the Iranian Mathematical Society"
DOI: 10.1007/s41980-021-00632-5
Abstract: The weak laws of large numbers are extremely intuitive and applicable results in various fields of probability theory and mathematical statistics. Compound random sums are extensions of classical random sums where the random number of… read more here.
Keywords: weak laws; random variables; random sums; laws large ... See more keywords
Fatal crashes involving large numbers of vehicles and weather.
Sign Up to like & getrecommendations! Published in 2017 at "Journal of safety research"
DOI: 10.1016/j.jsr.2017.08.001
Abstract: INTRODUCTION Adverse weather has been recognized as a significant threat to traffic safety. However, relationships between fatal crashes involving large numbers of vehicles and weather are rarely studied according to the low occurrence of crashes… read more here.
Keywords: involving large; vehicles weather; crashes involving; fatal crashes ... See more keywords
Strong laws of large numbers for intermediately trimmed Birkhoff sums of observables with infinite mean
Sign Up to like & getrecommendations! Published in 2019 at "Stochastic Processes and their Applications"
DOI: 10.1016/j.spa.2018.11.015
Abstract: Abstract We consider dynamical systems on a finite measure space fulfilling a spectral gap property and Birkhoff sums of a non-negative, non-integrable observable. For such systems we generalize strong laws of large numbers for intermediately… read more here.
Keywords: strong laws; laws large; large numbers; birkhoff sums ... See more keywords
The strong laws of large numbers for weighted sums of extended negatively dependent random variables
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DOI: 10.1080/03610926.2016.1222435
Abstract: ABSTRACT In this paper, the strong laws of large numbers for maximum value of weighted sums of extended negatively dependent random variables are obtained, which improve and extend the corresponding ones for independent random variables… read more here.
Keywords: random variables; weighted sums; strong laws; laws large ... See more keywords
Convergence rates in the law of large numbers for END linear processes with random coefficients
Sign Up to like & getrecommendations! Published in 2018 at "Communications in Statistics - Theory and Methods"
DOI: 10.1080/03610926.2018.1530790
Abstract: Abstract In this paper, we consider convergence rates in the Marcinkiewicz–Zygmund law of the large numbers for the END linear processes with random coefficients. We extend some results of Baum and Katz (1965) to the… read more here.
Keywords: law large; large numbers; random coefficients; processes random ... See more keywords
Automatic trajectory measurement of large numbers of crowded objects
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DOI: 10.1117/1.oe.52.6.067003
Abstract: Abstract. Complex motion patterns of natural systems, such as fish schools, bird flocks, and cell groups, have attracted great attention from scientists for years. Trajectory measurement of individuals is vital for quantitative and high-throughput study… read more here.
Keywords: large numbers; crowded objects; measurement large; numbers crowded ... See more keywords