[Tccc] Technical Report: Reconsidering Networ...

Dr. Guang-Liang Li glliateee.hku.hk
Wed Jan 16 06:47:25 EST 2013



 Hi Thomas,

Thanks for your comments. But
the hypotheses of Theorem 1 and Corollary 1 are
different. The 0-1 law is only used in proving Corollary 1
where the independence required by the 0-1 law is
stated in the corresponding hypothesis.  

Cheers,

Guang-Liang and Victor


----- Original Message ----- 
From: "Thomas C. Schmidt" <schm... at fhtw-berlin.de>
To: "Professor V.O.K. Li" <v... at eee.hku.hk>
Cc: <tccc at lists.cs.columbia.edu>; "Dr. Guang-Liang Li" <g... at eee.hku.hk>
Sent: Wednesday, January 16, 2013 7:23 PM
Subject: Re: [Tccc] Technical Report: Reconsidering Network Traffic Modeling


> Hi Guang-Liang Li and Victor O. K. Li,
>
> I only had a very brief zip over your paper with the following impression: 
> You're struggling with Kolmogorov's Zero-One law, which requires 
> independence of the random variables under consideration. It seems you're 
> violating this requirement (see e.g. Feller for the details).
>
> In network measurement/traffic modeling, it is of course not a new insight 
> that measurable quantities are *not* independent and thus network traffic 
> differs significantly from, e.g., Poisson processes (see the famous paper 
> by Walter Willinger et al.).
>
> Cheers,
>
> Thomas
>
> On 16.01.2013 10:58, Professor V.O.K. Li wrote:
>> Dear Colleagues,
>> Many research questions in networking are described by probability
>> theory formulated with measure theory. Recently we find that
>> measure-theoretic probability appears to be inconsistent. The 
>> inconsistency
>> has caused undesirable consequences in applications including
>> network traffic modeling. Our findings are presented in a technical 
>> report.
>>
>> The title and abstract are as follows.
>> Reconsidering Network Traffic Modeling
>> We question current techniques ofnetwork traffic modeling.
>> Measure-theoretic probability is the foundation  of current traffic
>> models. However,
>> due to a fundamental flaw of measure-theoretic probability,
>> current traffic models cannotproperly characterize the growth trend
>> of network traffic. By demonstrating theinconsistency of
>> measure-theoretic probability implied
>> by unbounded random variables, we justify theabove claim with a rigorous
>> analysis, and discuss
>> the implications of our analysis to  traffic modeling and some other
>> related
>> issues, such as performance evaluation of traffic control.
>>
>>
>> The technical report is available at
>> http://www.eee.hku.hk/research/doc/tr/TR2012006_Reconsidering_Network_Traffic_Modeling.pdf
>>
>> Your comments will be very much appreciated.
>>
>> Best regards,
>> Guang-Liang Li and Victor O. K. Li
>> _______________________________________________
>> IEEE Communications Society Tech. Committee on Computer Communications
>> (TCCC) - for discussions on computer networking and communication.
>> Tccc at lists.cs.columbia.edu
>> https://lists.cs.columbia.edu/cucslists/listinfo/tccc
>>
> 


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IEEE Communications Society Tech. Committee on Computer Communications
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