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L 1 ‐Tightness and the law of large numbers in D (IR)
Author(s) -
Daffer Pete,
SchiopuKratina Loana
Publication year - 1988
Publication title -
canadian journal of statistics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.804
H-Index - 51
eISSN - 1708-945X
pISSN - 0319-5724
DOI - 10.2307/3314936
Subject(s) - mathematical proof , law of large numbers , independent and identically distributed random variables , cover (algebra) , mathematics , law , random variable , discrete mathematics , statistics , political science , geometry , engineering , mechanical engineering
This article presents laws of large numbers for random elements of D (IR). The proofs bring forth the similarities between processes restricted to compact sets of D (IR) and processes with increasing trajectories. The results appear to generalize existing results and cover the independent identically distributed case studied by Ranga Rao.
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