Chebyshev's Weak Law of Large Numbers for correlated sequences has been stated as a result on the convergence in probability of the sample mean: However, the conditions of the above theorem also guarantee the mean square convergence of the sample mean to : Proof...
13. The Weak Law and the Strong Law of Large NumbersBernoulli, JamesBorel, Emile
In the paper, the Marcinkiewicz–Zygmund type moment inequality for extended negatively dependent (END, in short) random variables is established. Under some suitable conditions of uniform integrability, theLrconvergence, weak law of large numbers and strong law of large numbers for usual normed sums...
V. Thanh, Strong and weak laws of large numbers for double sums of indepen- dent random elements in Rademacher type p Banach spaces, Stochastic Analysis and Applications, 24 (2006), 1097-1117.Strong and weak laws of large numbers for double sums of independent random elements in Rademacher ...
See Weak. Strong Having strength or power greater than average or expected; A strong radio signal Strong medicine A strong man Strong Used of syllables or musical beats Strong Not faint or feeble; A strong odor of burning rubber Strong Having or wielding force or authority; Providing the ...
In this paper, we consider a class of doubly perturbed McKean–Vlasov stochastic differential equations (DPMVSDEs) of the form Xt=X0+∫0tf(Xs,μsX)ds+∫0tg(Xs,μsX)dBs+αsup0⩽s⩽tXs+βinf0⩽s⩽tXs,t∈[0,T],X0=ξ,where μtX denotes the law or distribution of Xt,f:Rd...
(2017) for explanations of the physical processes that cause the multi-wavelength emission of quasars. In brief, the accretion disk contributes a continuum power-law in the rest-frame UV to infrared, and surrounding broad and narrow line regions of ionised gas add broad and narrow lines ...
quality which tends to secure results; effective power in an institution or enactment; security; validity; legal or moral force; logical conclusiveness; as, the strength of social or legal obligations; the strength of law; the strength of public opinion; strength of evidence; strength of ...
Multiply lensed images of a same source experience a relative time delay in the arrival of photons due to the path length difference and the different grav
There are four fundamental forces in nature - gravitational, electromagnetic, strong and weak nuclear forces. Strong nuclear force is the strongest fundamental force while gravitational force is the weakest fundamental force.