Title of article :
Some Strong Laws of Large Numbers for Banach Space Valued Summands Irrespective of Their Joint Distributions
Author/Authors :
Cantrell، Amy نويسنده , , Rosalsky، Andrew نويسنده ,
Abstract :
Conditions are provided under which a sequence of random elements in a real separable Banach space obeys a general strong law of large numbers. No conditions are imposed on the joint distributions of the random elements or on the Banach space, and the results are new even when the Banach space is the real line. Illustrative examples are provided which compare the results or which show that they are sharp.
Keywords :
Number of real zeros , Gaussian coefficients , Expected density , Secondary 60G99 , Primary 60H42 , Random algebraic polynomial
Journal title :
Astroparticle Physics
