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by gbruzzo
July 13th, 2004, 2:14 pm
Forum: Technical Forum
Topic: Classification for Stochastic Integrals
Replies: 9
Views: 183168

Classification for Stochastic Integrals

Thanks
by gbruzzo
July 13th, 2004, 2:04 pm
Forum: Technical Forum
Topic: Classification for Stochastic Integrals
Replies: 9
Views: 183168

Classification for Stochastic Integrals

I see.A thing of beauty, stochastic analysis, don't you think?
by gbruzzo
July 13th, 2004, 1:32 pm
Forum: Technical Forum
Topic: Classification for Stochastic Integrals
Replies: 9
Views: 183168

Classification for Stochastic Integrals

R(x) = x?
by gbruzzo
July 13th, 2004, 12:44 pm
Forum: Technical Forum
Topic: Classification for Stochastic Integrals
Replies: 9
Views: 183168

Classification for Stochastic Integrals

Thank you,I have got it, so I will get on and read it. Did you already read it? What is your opinion about it?Giacomo
by gbruzzo
July 13th, 2004, 10:59 am
Forum: Technical Forum
Topic: Classification for Stochastic Integrals
Replies: 9
Views: 183168

Classification for Stochastic Integrals

<t>Hello everyone,I am looking for books/papers providing a classifcation of stochastic integrals (and representation theorems for processes in terms of such integrals) obtained by matching integrands and integrators, that is something like "If the integrator has continuous quadratic variation, then...
by gbruzzo
June 25th, 2004, 11:32 am
Forum: Book And Research Paper Forum
Topic: Measure Theory
Replies: 15
Views: 187653

Measure Theory

It was me. I was hoping for a reply in that thread, I got it now.thx,Giacomo
by gbruzzo
June 25th, 2004, 9:35 am
Forum: Book And Research Paper Forum
Topic: Measure Theory
Replies: 15
Views: 187653

Measure Theory

Hi Hank,what do you think of the deFinetti notation employed in Pollard's book? Does it not bother you?
by gbruzzo
June 25th, 2004, 7:09 am
Forum: Book And Research Paper Forum
Topic: Measure Theory
Replies: 15
Views: 187653

Measure Theory

Hi,fair enough, not much is left to be proved in Measure Theory...still, I stand by the beautifulThere is something about its symmetry that is quite engaging.Regards,Giacomo
by gbruzzo
June 25th, 2004, 6:52 am
Forum: Student Forum
Topic: Models for rates close to zero
Replies: 0
Views: 185109

Models for rates close to zero

<t>Hi, Do you know what models are used for pricing interest rates derivatives (I include bonds in the definition) when rates are very close to zero (and may be negative in real terms)?All models that assume lognormal forwards might be at pain to deal with such a situation. A Gaussian 2.5/3 factor m...
by gbruzzo
June 25th, 2004, 6:37 am
Forum: Book And Research Paper Forum
Topic: Measure Theory
Replies: 15
Views: 187653

Measure Theory

<t>Hi,have a look at "Measure Theory and Filtering" just about to come out by Robert Elliott and Lakhdar Aggoun (CUP) or Kopp/Capinski "Measure,Integration&Probability", Springer SUMS. They both have lots of exercises, many solved, if this is your taste.Also consider (but this may be more of a "...
by gbruzzo
June 21st, 2004, 7:56 am
Forum: Book And Research Paper Forum
Topic: Probability with Martingales - stuck on page 6
Replies: 8
Views: 187586

Probability with Martingales - stuck on page 6

<t>Hi,if S is any countable set (aleph_0), that is it can be put into one to one correspondence with the Natural Numbers, then 2^S (the power set of S) has the cardinality of the continuum (c).This can be proven (check, for example, Kolmogorov and Fomin - truly mathematical poetry).The continuum Hyp...
by gbruzzo
May 23rd, 2004, 9:53 pm
Forum: Book And Research Paper Forum
Topic: The Philosophy of Finance - Idylls and Rambles
Replies: 16
Views: 191774

The Philosophy of Finance - Idylls and Rambles

<r>Have you seen <URL url="http://www.amazon.com/exec/obidos/ASIN/0964629208/qid%3D942793464/002-0148404-9054406"><LINK_TEXT text="http://www.amazon.com/exec/obidos/ASIN/ ... 04-9054406">http://www.amazon.com/exec/obidos/ASIN/0964629208/qid%3D942793464/002-0148404-9054406</LINK_TEXT></URL> ?Might be...
by gbruzzo
April 30th, 2004, 5:04 pm
Forum: Book And Research Paper Forum
Topic: Elliott, Aggoun "Measure Theory and Filtering"
Replies: 5
Views: 190074

Elliott, Aggoun "Measure Theory and Filtering"

Hank,Pollard's book is quite inspired - isoperimetric inequalities? Interesting! But the DeFinetti notation just freaks me out.I did try...Cheers
by gbruzzo
April 26th, 2004, 11:24 am
Forum: Book And Research Paper Forum
Topic: Elliott, Aggoun "Measure Theory and Filtering"
Replies: 5
Views: 190074

Elliott, Aggoun "Measure Theory and Filtering"

<r>Hi,has anyone had the chance to have a look at "Measure Theory and Filtering" by Robert J Elliott and Lakhdar Aggoun?It is not yet out, as far as I know, but maybe rough drafts were circulated...Solutions seem (already) to be available on <URL url="http://www.cup.org">www.cup.org</URL> (book reso...
by gbruzzo
April 6th, 2004, 11:47 am
Forum: The Quantitative Finance FAQs Project
Topic: Subjects, please...
Replies: 430
Views: 404141

Subjects, please...

Hi, here are some questions (whether frequently asked, I do no know...)What are predictable and optional sigma fields? what are predictable and optional processes?How are these concepts related to stochastic integration?How are they relevant in modelling replicating portfolios?Thanks
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