Looking for material to self-study uniform integrability of sequences of random variables












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I need some book recommendation on uniform integrability of sequences of random variables, preferably something that also covers relation between that notion and the different modes of convergences of sequences of random variables.



thanks !










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  • $begingroup$
    K L Chung's book is a good reference.
    $endgroup$
    – Kavi Rama Murthy
    Jan 17 at 10:15












  • $begingroup$
    @KaviRamaMurthy thanks, he's got many though, which one is it ? Introduction to stochastic integration ?
    $endgroup$
    – rapidracim
    Jan 17 at 10:17






  • 1




    $begingroup$
    Section 4.5 of 'A Course in Probability Theory'.
    $endgroup$
    – Kavi Rama Murthy
    Jan 17 at 10:20






  • 1




    $begingroup$
    This may be of interest.
    $endgroup$
    – David Mitra
    Jan 17 at 11:19
















0












$begingroup$


I need some book recommendation on uniform integrability of sequences of random variables, preferably something that also covers relation between that notion and the different modes of convergences of sequences of random variables.



thanks !










share|cite|improve this question









$endgroup$












  • $begingroup$
    K L Chung's book is a good reference.
    $endgroup$
    – Kavi Rama Murthy
    Jan 17 at 10:15












  • $begingroup$
    @KaviRamaMurthy thanks, he's got many though, which one is it ? Introduction to stochastic integration ?
    $endgroup$
    – rapidracim
    Jan 17 at 10:17






  • 1




    $begingroup$
    Section 4.5 of 'A Course in Probability Theory'.
    $endgroup$
    – Kavi Rama Murthy
    Jan 17 at 10:20






  • 1




    $begingroup$
    This may be of interest.
    $endgroup$
    – David Mitra
    Jan 17 at 11:19














0












0








0





$begingroup$


I need some book recommendation on uniform integrability of sequences of random variables, preferably something that also covers relation between that notion and the different modes of convergences of sequences of random variables.



thanks !










share|cite|improve this question









$endgroup$




I need some book recommendation on uniform integrability of sequences of random variables, preferably something that also covers relation between that notion and the different modes of convergences of sequences of random variables.



thanks !







probability-theory reference-request book-recommendation






share|cite|improve this question













share|cite|improve this question











share|cite|improve this question




share|cite|improve this question










asked Jan 17 at 10:12









rapidracimrapidracim

1,7191419




1,7191419












  • $begingroup$
    K L Chung's book is a good reference.
    $endgroup$
    – Kavi Rama Murthy
    Jan 17 at 10:15












  • $begingroup$
    @KaviRamaMurthy thanks, he's got many though, which one is it ? Introduction to stochastic integration ?
    $endgroup$
    – rapidracim
    Jan 17 at 10:17






  • 1




    $begingroup$
    Section 4.5 of 'A Course in Probability Theory'.
    $endgroup$
    – Kavi Rama Murthy
    Jan 17 at 10:20






  • 1




    $begingroup$
    This may be of interest.
    $endgroup$
    – David Mitra
    Jan 17 at 11:19


















  • $begingroup$
    K L Chung's book is a good reference.
    $endgroup$
    – Kavi Rama Murthy
    Jan 17 at 10:15












  • $begingroup$
    @KaviRamaMurthy thanks, he's got many though, which one is it ? Introduction to stochastic integration ?
    $endgroup$
    – rapidracim
    Jan 17 at 10:17






  • 1




    $begingroup$
    Section 4.5 of 'A Course in Probability Theory'.
    $endgroup$
    – Kavi Rama Murthy
    Jan 17 at 10:20






  • 1




    $begingroup$
    This may be of interest.
    $endgroup$
    – David Mitra
    Jan 17 at 11:19
















$begingroup$
K L Chung's book is a good reference.
$endgroup$
– Kavi Rama Murthy
Jan 17 at 10:15






$begingroup$
K L Chung's book is a good reference.
$endgroup$
– Kavi Rama Murthy
Jan 17 at 10:15














$begingroup$
@KaviRamaMurthy thanks, he's got many though, which one is it ? Introduction to stochastic integration ?
$endgroup$
– rapidracim
Jan 17 at 10:17




$begingroup$
@KaviRamaMurthy thanks, he's got many though, which one is it ? Introduction to stochastic integration ?
$endgroup$
– rapidracim
Jan 17 at 10:17




1




1




$begingroup$
Section 4.5 of 'A Course in Probability Theory'.
$endgroup$
– Kavi Rama Murthy
Jan 17 at 10:20




$begingroup$
Section 4.5 of 'A Course in Probability Theory'.
$endgroup$
– Kavi Rama Murthy
Jan 17 at 10:20




1




1




$begingroup$
This may be of interest.
$endgroup$
– David Mitra
Jan 17 at 11:19




$begingroup$
This may be of interest.
$endgroup$
– David Mitra
Jan 17 at 11:19










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