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SUMMARY:Esseen's contribution and recent results in investigation of the r
ate of convergence in the central limit theorem
DTSTART;VALUE=DATE-TIME:20180917T091500Z
DTEND;VALUE=DATE-TIME:20180917T100500Z
DTSTAMP;VALUE=DATE-TIME:20191015T163005Z
UID:indico-contribution-459-751@indico.uu.se
DESCRIPTION:Speakers: Irina Shevtsova ()\nStarting from the central limit
theorem due to Lyapunov we give an overview of Esseen’s fundamental resu
lts in investigation of the rate of convergence in the CLT. We present a w
ide class of Berry-Esseen-type inequalities providing estimates of the acc
uracy of the normal approximation to distributions of sums of independent
random variables in various metrics and involving various integral-type ch
aracteristics of the random summands coming back to the pioneer works of B
erry (1941)\, Esseen (1942\, 1969)\, and Osipov (1965). Finally\, being in
spired by Esseen’s asymptotic expansion (1945) we provide a new asymptot
ic and still explicit moment-type estimate of the rate of convergence in t
he CLT which is optimal in the sense that it’s main term as a function o
f the standardized average third-order moment of random summands coincides
with that in Esseen’s asymptotic expansion for the Kolmogorov distance.
We also look at the problem of classification of the appearing asymptotic
ally exact constants and present their exact values or two-sided bounds.\
n\nhttps://indico.uu.se/event/459/contributions/751/
LOCATION:Universitetshuset Sal VIII
URL:https://indico.uu.se/event/459/contributions/751/
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BEGIN:VEVENT
SUMMARY:Peak numbers and other statistics of random permutations
DTSTART;VALUE=DATE-TIME:20180918T094000Z
DTEND;VALUE=DATE-TIME:20180918T101000Z
DTSTAMP;VALUE=DATE-TIME:20191015T163005Z
UID:indico-contribution-459-750@indico.uu.se
DESCRIPTION:Speakers: Svante Janson ()\nhttps://indico.uu.se/event/459/con
tributions/750/
LOCATION:
URL:https://indico.uu.se/event/459/contributions/750/
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BEGIN:VEVENT
SUMMARY:Asymptotics for Petersburg games with trimming
DTSTART;VALUE=DATE-TIME:20180917T134500Z
DTEND;VALUE=DATE-TIME:20180917T141500Z
DTSTAMP;VALUE=DATE-TIME:20191015T163005Z
UID:indico-contribution-459-749@indico.uu.se
DESCRIPTION:Speakers: Anders Martin-Löf ()\nA sequence of Petersburg game
s is considered\, and the asymptotics of the total gain is demonstrated.\n
When the largest gains are deleted the total has another asymptotics which
can be derived.\n\nhttps://indico.uu.se/event/459/contributions/749/
LOCATION:Universitetshuset Sal VIII
URL:https://indico.uu.se/event/459/contributions/749/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Conditions for convergence of random coefficient AR(1) processes i
n higher dimensions
DTSTART;VALUE=DATE-TIME:20180918T092000Z
DTEND;VALUE=DATE-TIME:20180918T094000Z
DTSTAMP;VALUE=DATE-TIME:20191015T163005Z
UID:indico-contribution-459-748@indico.uu.se
DESCRIPTION:Speakers: Torkel Erhardsson ()\n[See attached abstract](https:
//indico.uu.se/event/459/material/0/1.pdf)\n\nhttps://indico.uu.se/event/4
59/contributions/748/
LOCATION:Gustavianum
URL:https://indico.uu.se/event/459/contributions/748/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Berry-Esseen for summands Zolotarev-zeta-close to normal
DTSTART;VALUE=DATE-TIME:20180917T110500Z
DTEND;VALUE=DATE-TIME:20180917T115500Z
DTSTAMP;VALUE=DATE-TIME:20191015T163005Z
UID:indico-contribution-459-747@indico.uu.se
DESCRIPTION:Speakers: Lutz Mattner (Universität Trier)\nSee [attached abs
tract here](https://indico.uu.se/event/459/material/0/0.pdf)\n\nhttps://in
dico.uu.se/event/459/contributions/747/
LOCATION:Universitetshuset Sal VIII
URL:https://indico.uu.se/event/459/contributions/747/
END:VEVENT
BEGIN:VEVENT
SUMMARY:On the compound Poisson approximation for convolutions of probabil
ity measures
DTSTART;VALUE=DATE-TIME:20180918T110000Z
DTEND;VALUE=DATE-TIME:20180918T115000Z
DTSTAMP;VALUE=DATE-TIME:20191015T163005Z
UID:indico-contribution-459-746@indico.uu.se
DESCRIPTION:Speakers: Bero Roos ()\nWe consider the approximation of a con
volution of possibly different probability measures by a compound Poisson
distribution and also by related signed measures of higher order. We prese
nt new total variation bounds having a better structure than those from th
e literature. A numerical example illustrates the usefulness of the boun
ds. The proofs use arguments from [1] and [2] in combination with new smoo
thness inequalities\, which could be of independent interest. The talk is
based on [3].\n\nReferences:\n\n[1] Kerstan\, J. (1964). Verallgemeinerun
g eines Satzes von Prochorow und Le Cam\, Z. Wahrscheinlichkeitstheorie un
d Verw. Gebiete\, 2\, 173-179.\n\n[2] Roos\, B. (1999). On the rate of mul
tivariate Poisson convergence. J. Multivariate Anal.\, 69\, 120-134.\n\n[3
] Roos\, B. (2017). Refined total variation bounds in the multivariate and
compound Poisson approximation. ALEA\, Lat. Am. J. Probab. Math. Stat. 1
4\, 337-360.\n\nhttps://indico.uu.se/event/459/contributions/746/
LOCATION:
URL:https://indico.uu.se/event/459/contributions/746/
END:VEVENT
BEGIN:VEVENT
SUMMARY:The unexpected influence of a mathematician - on engineering - and
on statistics
DTSTART;VALUE=DATE-TIME:20180918T115500Z
DTEND;VALUE=DATE-TIME:20180918T124500Z
DTSTAMP;VALUE=DATE-TIME:20191015T163005Z
UID:indico-contribution-459-745@indico.uu.se
DESCRIPTION:Speakers: Georg Lindgren ()\nI will describe some crucial step
s in the history of Swedish \nmathematical statistics\, starting with the
first timid steps at the \nbeginning of the twentieth century\, finishing
with Carl Gustav Esseen's \nalmost 20 years as professor at the Royal Inst
itute of Technology\, \n1949-1967. I will illustrate the great influence h
e had on developing \ntechnologies as examples of the necessary but delica
te relations between \ndifferent sciences and personalities.\n\nThe talk i
s based on the article ``Why distinguish between statistics \nand mathemat
ical statistics -- the case of Swedish academia''\, \nInternational Stati
stical Review\, (2018)\, by Peter Guttorp and myself.\n\nhttps://indico.uu
.se/event/459/contributions/745/
LOCATION:
URL:https://indico.uu.se/event/459/contributions/745/
END:VEVENT
BEGIN:VEVENT
SUMMARY:From Esseen to Stein
DTSTART;VALUE=DATE-TIME:20180918T080000Z
DTEND;VALUE=DATE-TIME:20180918T085000Z
DTSTAMP;VALUE=DATE-TIME:20191015T163005Z
UID:indico-contribution-459-744@indico.uu.se
DESCRIPTION:Speakers: Adrian Röllin (National University of Singapore)\nO
ne key ingredient in Carl-Gustav Esseen’s proof of the Berry-Esseen boun
d is a smoothing inequality that quantifies the distance between two distr
ibution functions in terms of the distance between their characteristic fu
nctions. What is well-known is how to use this inequality with a subsequen
t Taylor expansion of the characteristic functions to proof the Berry-Esse
en bound. What is not so well-known is that Esseen’s inequality can also
be combined with ideas introduced by Charles Stein to obtain an alternati
ve proof of the Berry-Esseen bound.\n\nIn this talk we will give a gentle
introduction to Esseen’s work on the Berry-Esseen bound and to some idea
s of Stein’s method.\n\nhttps://indico.uu.se/event/459/contributions/744
/
LOCATION:
URL:https://indico.uu.se/event/459/contributions/744/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Mixing Times for Random Walks on Dynamical Percolation
DTSTART;VALUE=DATE-TIME:20180917T120000Z
DTEND;VALUE=DATE-TIME:20180917T124000Z
DTSTAMP;VALUE=DATE-TIME:20191015T163005Z
UID:indico-contribution-459-743@indico.uu.se
DESCRIPTION:Speakers: Jeffrey E. Steif ()\nIn this talk\, I will discuss t
he mixing behavior of random walk on dynamical percolation. In this model\
, the edges\nof a graph G are either open or closed and they refresh their
status at rate μ\, while at the same time a random walker moves on G \na
t rate 1\, but only along edges which are open. Restricting to the d-dimen
sional torus with side length n\, I will discuss the mixing time \n(how lo
ng it takes to get close to equilibrium) as a function of n both when the
bond parameter is subcritical for percolation and when it is supercritical
for percolation. \nThe behavior in these two regimes is very different. N
o background in percolation or mixing times of Markov chains will be assum
ed.\n\nThis is based on two joint works\, one with Y. Peres and A. Stauffe
r and one with Y. Peres and P. Sousi.\n\nhttps://indico.uu.se/event/459/co
ntributions/743/
LOCATION:Universitetshuset Sal VIII
URL:https://indico.uu.se/event/459/contributions/743/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Welcome
DTSTART;VALUE=DATE-TIME:20180917T090000Z
DTEND;VALUE=DATE-TIME:20180917T091000Z
DTSTAMP;VALUE=DATE-TIME:20191015T163005Z
UID:indico-contribution-459-742@indico.uu.se
DESCRIPTION:Speakers: Allan Gut ()\nhttps://indico.uu.se/event/459/contrib
utions/742/
LOCATION:Universitetshuset Sal VIII
URL:https://indico.uu.se/event/459/contributions/742/
END:VEVENT
BEGIN:VEVENT
SUMMARY:.
DTSTART;VALUE=DATE-TIME:20180917T142000Z
DTEND;VALUE=DATE-TIME:20180917T143500Z
DTSTAMP;VALUE=DATE-TIME:20191015T163005Z
UID:indico-contribution-459-741@indico.uu.se
DESCRIPTION:Speakers: Torbjörn Thedéen ()\nhttps://indico.uu.se/event/45
9/contributions/741/
LOCATION:Universitetshuset Sal VIII
URL:https://indico.uu.se/event/459/contributions/741/
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