BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Prof. Dr. Igor Mandel (NJ\, USA) & Prof.Dr. Stan Lipovetsky (MN\, 
 USA) (Retired)
DTSTART:20260402T040000Z
DTEND:20260402T050000Z
DTSTAMP:20260421T153744Z
UID:AMIS/1
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/AMIS/1/">Sim
 ulation-Based Insights and Novel Criteria for Linear Regression Modeling</
 a>\nby Prof. Dr. Igor Mandel (NJ\, USA) & Prof.Dr. Stan Lipovetsky (MN\, U
 SA) (Retired) as part of Asymptotic Methods in Statistics\n\nAbstract: TBA
 \n\nAbstract: We study asymptotic behavior of the averaged integrals of a 
 Lévy-driven\nlinear process weighted by a complex exponent of polynomials
  with real coefficients.\nSuch functionals naturally arise in the problems
  relating to nonlinear regression\nanalysis and signal processing\, specif
 ically in the estimation of parameters of\nfrequency-modulated signals.\n 
   Under some conditions on the Lévy process and kernel defining the linea
 r process\,\nwe get a uniform strong law of large numbers for this weighte
 d process. More\nprecisely\, it is shown that the considered integrals con
 verge a.s. to zero uniformly\nover all the values of the real coefficients
  of the polynomials of fixed order.\n   The result obtained is then used t
 o prove strong consistency of LSE for the\nparameters of linearly-modulate
 d trigonometric signal (chirp signal) observed against\nthe background of 
 shot noise described above.\n
LOCATION:https://researchseminars.org/talk/AMIS/1/
END:VEVENT
END:VCALENDAR