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SUMMARY:On uniform Strong Law of Large Numbers for weighted shot noise and
  consistency of the Least Squares Estimator of chirp signal parameters
DTSTART;VALUE=DATE-TIME:20260408T140000Z
DTEND;VALUE=DATE-TIME:20260408T150000Z
DTSTAMP;VALUE=DATE-TIME:20260415T015900Z
UID:indico-event-2092@events.imath.kiev.ua
DESCRIPTION:Speakers: Viktor  Hladun (National Technical University of Ukr
 aine “Igor Sikorsky Kyiv Polytechnic Institute”)\n\nWe study asymptoti
 c behavior of the averaged integrals of a Lévy-driven\nlinear process wei
 ghted by a complex exponent of polynomials with real coefficients.\nSuch f
 unctionals naturally arise in the problems relating to nonlinear regressio
 n\nanalysis and signal processing\, specifically in the estimation of para
 meters of\nfrequency-modulated signals.\n   Under some conditions on the
  Lévy process and kernel defining the linear process\,\nwe get a uniform 
 strong law of large numbers for this weighted process. More\nprecisely\, i
 t is shown that the considered integrals converge a.s. to zero uniformly\n
 over all the values of the real coefficients of the polynomials of fixed o
 rder.\n   The result obtained is then used to prove strong consistency o
 f LSE for the\nparameters of linearly-modulated trigonometric signal (chir
 p signal) observed against\nthe background of shot noise described above.\
 n\nhttps://events.imath.kiev.ua/event/2092/
LOCATION:https://knu-ua.zoom.us/j/89643295643?pwd=eTBZZSt0d0thZzFyaUhDUFNG
 TVE3QT09 (ONLINE)
URL:https://events.imath.kiev.ua/event/2092/
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