BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:PhD student Viktor Hladun (National Technical University of Ukrain e “Igor Sikorsky Kyiv Polytechnic Institute”) (National Technical Univ ersity of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”) DTSTART:20260408T140000Z DTEND:20260408T150000Z DTSTAMP:20260421T153441Z UID:AMIS/2 DESCRIPTION:Title: On uniform Strong Law of Large Numbers for weighted shot noise and consistenc y of the Least Squares Estimator of chirp signal parameters\nby PhD st udent Viktor Hladun (National Technical University of Ukraine “Igor Siko rsky Kyiv Polytechnic Institute”) (National Technical University of Ukra ine “Igor Sikorsky Kyiv Polytechnic Institute”) as part of Asymptotic Methods in Statistics\n\n\nAbstract\nWe study asymptotic behavior of the a veraged integrals of a Lévy-driven\nlinear process weighted by a complex exponent of polynomials with real coefficients.\nSuch functionals naturall y arise in the problems relating to nonlinear regression\nanalysis and sig nal processing\, specifically in the estimation of parameters of\nfrequenc y-modulated signals.\n Under some conditions on the Lévy process and ke rnel defining the linear process\,\nwe get a uniform strong law of large n umbers for this weighted process. More\nprecisely\, it is shown that the c onsidered integrals converge a.s. to zero uniformly\nover all the values o f the real coefficients of the polynomials of fixed order.\n The result obtained is then used to prove strong consistency of LSE for the\nparamete rs of linearly-modulated trigonometric signal (chirp signal) observed agai nst\nthe background of shot noise described above.\n\nThe results are join t with Prof. Dr. Alexander Ivanov (National Technical University of Ukrain e\n“Igor Sikorsky Kyiv Polytechnic Institute”).\n LOCATION:https://researchseminars.org/talk/AMIS/2/ END:VEVENT END:VCALENDAR