Strong laws of large numbers for multivalued random variables

1984 ◽  
pp. 160-172 ◽  
Author(s):  
Fumio Hiai
Keyword(s):  
Random Variables ◽  
Laws Of Large Numbers ◽  
Strong Laws ◽  
Large Numbers

scholarly journals On Chung-Teicher type strong law for arrays of vector-valued random variables

2004 ◽  
Vol 2004 (9) ◽  
pp. 443-458
Author(s):  
Anna Kuczmaszewska
Keyword(s):  
Banach Space ◽  
Random Variables ◽  
Strong Law ◽  
Laws Of Large Numbers ◽  
Strong Laws ◽  
Large Numbers ◽  
Random Elements ◽  
Vector Valued

We study the equivalence between the weak and strong laws of large numbers for arrays of row-wise independent random elements with values in a Banach spaceℬ. The conditions under which this equivalence holds are of the Chung or Chung-Teicher types. These conditions are expressed in terms of convergence of specific series ando(1)requirements on specific weighted row-wise sums. Moreover, there are not any conditions assumed on the geometry of the underlying Banach space.

On exact strong laws of large numbers for ratios of random variables and their applications

2019 ◽  
Vol 49 (13) ◽  
pp. 3153-3167
Author(s):  
Przemysław Matuła ◽  
André Adler ◽  
Paweł Kurasiński
Keyword(s):  
Random Variables ◽  
Laws Of Large Numbers ◽  
Strong Laws ◽  
Ratios Of Random Variables ◽  
Large Numbers

Strong laws of large numbers for triangular arrays of exchangeable random variables

1985 ◽  
Vol 3 (2) ◽  
pp. 171-187 ◽  
Author(s):  
Ronald Frank Patterson ◽  
Robert Lee Taylor
Keyword(s):  
Random Variables ◽  
Laws Of Large Numbers ◽  
Strong Laws ◽  
Exchangeable Random Variables ◽  
Triangular Arrays ◽  
Large Numbers

Strong laws of large numbers for independent fuzzy set-valued random variables

2006 ◽  
Vol 157 (19) ◽  
pp. 2569-2578 ◽  
Author(s):  
Shoumei Li ◽  
Yukio Ogura
Keyword(s):  
Fuzzy Set ◽  
Random Variables ◽  
Laws Of Large Numbers ◽  
Strong Laws ◽  
Large Numbers

scholarly journals Strong laws of large numbers for ρ˜-mixing random variables

2010 ◽  
Vol 365 (2) ◽  
pp. 711-717 ◽  
Author(s):  
Yan-Jiao Meng ◽  
Zheng-Yan Lin
Keyword(s):  
Random Variables ◽  
Laws Of Large Numbers ◽  
Strong Laws ◽  
Large Numbers ◽  
Mixing Random Variables
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