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You searched for subject:(Increment Ratio statistic). Showing records 1 – 2 of 2 total matches.

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Vilnius University

1. Kaklauskas, Liudvikas. Study and application of methods of fractal processes monitoring in computer networks.

Degree: PhD, Informatics, 2012, Vilnius University

The field of the dissertation research is features of computer network packet traffic, the impact of network node features on traffic service, methods of real-time analysis of network traffic features and their application for dynamic prognostication of computer network packet traffic variance. The object of the research is the features of computer network packet traffic, the impact of network node features on computer network traffic service, methods of real-time network traffic features analysis and their application for dynamic prognostication of network traffic variances. The aim of work is to investigate fractal processes in computer networks, grounding on the results obtained to select methods suitable for real-time analysis of network traffic and to work out methods for real-time measurement of self-similarity as well as to apply it for perfection of computer networks service quality. Possibilities for mathematical modelling of network components, computer network packet traffic models and models using service theory instruments have been analysed. The package of network traffic features analysis has been worked out; it was used for analysis, assessment and comparison of methods for computer networks fractality and self-similarity research. For assessment of self-similarity of the network traffic time lines analysis, frequency/wave feature estimates, self-similarity analysis methods based on time line stability parameters estimators and assessed by the chaos theory... [to full text]

Disertacijos tyrimų sritis – kompiuterių tinklo paketinio srauto savybės, tinklo mazgo savybių įtaka srauto aptarnavimui, tinklo srauto savybių realaus laiku analizės metodai ir jų taikymas kompiuterių tinklo srauto kaitos dinaminiam prognozavimui. Tyrimų objektas – kompiuterių tinklo paketinio srauto savybės, tinklo mazgo savybių įtaka paketinio kompiuterių tinklo srauto aptarnavimui, realaus laiko tinklo srauto savybių analizės metodai ir jų taikymas tinklo srauto kaitos dinaminiam prognozavimui. Darbo tikslas – ištirti fraktalinius procesus kompiuterių tinkluose, remiantis gautais rezultatais parinkti metodus, tinkamus tinklo srauto analizei realiu laiku, ir sukurti savastingumo matavimo realiu laiku metodiką bei ją pritaikyti kompiuterių tinklų aptarnavimo kokybei gerinti. Išanalizuotos tinklo komponentų matematinio modeliavimo galimybės, kompiuterių tinklo paketinio srauto modeliai ir modeliai, naudojantys aptarnavimo teorijos instrumentus. Parengtas tinklo srauto savybių analizės paketas, panaudotas kompiuterių tinklų fraktališkumo ir savastingumo tyrimo metodams analizuoti, vertinti ir palyginti. Ištirti paketinio kompiuterių tinklo srauto laiko eilučių analizės, dažninių/banginių savybių įvertinimo, laiko eilutės stabilumo parametrų įverčiais grindžiami bei chaoso teorijos priemonėmis įvertinami savastingumo analizės metodai. Sudarytas tinklo srauto savastingumo realiu laiku analizės paketas, kurį naudojant savastingumo matavimui realiu laiku atrinktas robastinis... [toliau žr. visą tekstą]

Advisors/Committee Members: Kazlauskas, Kazys (Doctoral dissertation committee chair), Baronas, Romas (Doctoral dissertation committee member), Kulvietis, Genadijus (Doctoral dissertation committee member), Mažeika, Liudas (Doctoral dissertation committee member), Pupeikis, Rimantas (Doctoral dissertation committee member), Belovas, Igoris (Doctoral dissertation opponent), Navakauskas, Dalius (Doctoral dissertation opponent), Sakalauskas, Leonidas (Doctoral dissertation supervisor).

Subjects/Keywords: Self-similarity; Hurst coefficient; Long-range dependence; A-stable distribution; Increment Ratio statistic; Savastingumas; Hurst koeficientas; Ilgalaikė atmintis; A-stabilusis skirstinys; IR statistika

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6th Edition):

Kaklauskas, L. (2012). Study and application of methods of fractal processes monitoring in computer networks. (Doctoral Dissertation). Vilnius University. Retrieved from http://vddb.laba.lt/obj/LT-eLABa-0001:E.02~2012~D_20120809_105043-75157 ;

Chicago Manual of Style (16th Edition):

Kaklauskas, Liudvikas. “Study and application of methods of fractal processes monitoring in computer networks.” 2012. Doctoral Dissertation, Vilnius University. Accessed January 23, 2021. http://vddb.laba.lt/obj/LT-eLABa-0001:E.02~2012~D_20120809_105043-75157 ;.

MLA Handbook (7th Edition):

Kaklauskas, Liudvikas. “Study and application of methods of fractal processes monitoring in computer networks.” 2012. Web. 23 Jan 2021.

Vancouver:

Kaklauskas L. Study and application of methods of fractal processes monitoring in computer networks. [Internet] [Doctoral dissertation]. Vilnius University; 2012. [cited 2021 Jan 23]. Available from: http://vddb.laba.lt/obj/LT-eLABa-0001:E.02~2012~D_20120809_105043-75157 ;.

Council of Science Editors:

Kaklauskas L. Study and application of methods of fractal processes monitoring in computer networks. [Doctoral Dissertation]. Vilnius University; 2012. Available from: http://vddb.laba.lt/obj/LT-eLABa-0001:E.02~2012~D_20120809_105043-75157 ;


Vilnius University

2. Bružaitė, Kristina. Some linear models of time series with nonstationary long memory.

Degree: Dissertation, Mathematics, 2009, Vilnius University

In the thesis is studied the limit distribution of partial sums of certain linear time series models with nonstationary long memory and certain statistics which involve partial sums processes. Philippe, Surgailis, Viano (2006, 2008) introduced time-varying fractionally integrated filters and studied the limit distribution of partial sums processes of these filters under finite variance set-up. In the thesis is studied the limit distribution of partial sums processes of infinite variance time-varying fractionally integrated filters. We assume that the innovations belong to the domain of attraction of an α-stable law (1<α<2) and show that the partial sums process converges to some α-stable self-similar process. In the thesis is studied the limit of the Increment Ratio (IR) statistic for Gaussian observations superimposed on a slowly varying deterministic trend. The IR statistic was introduced in Surgailis, Teyssière, Vaičiulis (2008) and its limit distribution was studied under the assumption of stationarity of observations. The IR statistic can be used for testing nonparametric hypotheses about d-integrated (-1/2 < d <3/2) behavior of the time series, which can be confused with deterministic trends and change-points. This statistic is written in terms of partial sums process and its limit is closely related to the limit of partial sums. In particularly, the consistency of the IR statistic uses asymptotic independence of distant partial sums, the fact is established in the... [to full text]

Disertacijoje ištirti trupmeniškai integruotų tiesinių laiko eilučių modelių su nestacionaria ilgąja atmintimi dalinių sumų ribiniai skirstiniai ir tam tikros statistikos, susijusios su dalinių sumų procesais. Philippe, Surgailis, Viano 2006 ir 2008 m. darbuose apibrėžė kintančius laike trupmeniškai integruotus filtrus su baigtine dispersija ir nagrinėjo jų dalinių sumų ribinius skirstinius. Disertacijoje ištirti tokių procesų dalinių sumų ribiniai skirstiniai, kai dispersija begalinė, laikant, kad inovacijos priklauso α–stabilaus dėsnio traukos sričiai (čia 1<α<2). Įrodyta, kad dalinių sumų procesas konverguoja į tam tikrą α–stabilų savastingąjį procesą su nestacionariais pokyčiais. Surgailis, Teyssière, Vaičiulis 2008 m. darbe įvedė pokyčių santykių arba IR (= Increment Ratio) statistiką ir parodė, kad IR statistika gali būti naudojama tikrinti neparametrinėms hipotezėms apie stacionariosios laiko eilutės ilgąją atmintį bei ilgosios atminties parametrą d. Disertacijoje apibendrinti šių autorių gauti rezultatai, t. y. įrodyta IR statistikos centrinė ribinė teorema ir gauti poslinkio įverčiai, kai stebiniai aprašomi tiesiniu laiko eilutės modeliu su trendu. Praplėsta laiko eilučių klasė, kuriai IR statistika yra pagrįsta, t. y. konverguoja į vidurkį.

Advisors/Committee Members: Surgailis, Donatas (Doctoral dissertation supervisor), Paulauskas, Vygantas (Doctoral dissertation committee chair), Račkausas, Alfredas (Doctoral dissertation committee member), Kubilius, Kęstutis (Doctoral dissertation committee member), Kazakevičius, Vytautas (Doctoral dissertation committee member), Astrauskas, Arvydas (Doctoral dissertation committee member), Giraitis, Liudas (Doctoral dissertation opponent), Leipus, Remigijus (Doctoral dissertation opponent).

Subjects/Keywords: Time series; Long memory; Long-range dependence; Time-varying fractionally integrated filters; Increment Ratio (IR) statistic; Laiko eilutė; Ilgoji atmintis; Tolimoji priklausomybė; Kintantys laike trupmeniškai integruoti filtrai; Pokyčių santykių (IR) statistika

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6th Edition):

Bružaitė, K. (2009). Some linear models of time series with nonstationary long memory. (Doctoral Dissertation). Vilnius University. Retrieved from http://vddb.laba.lt/obj/LT-eLABa-0001:E.02~2009~D_20090312_091000-74094 ;

Chicago Manual of Style (16th Edition):

Bružaitė, Kristina. “Some linear models of time series with nonstationary long memory.” 2009. Doctoral Dissertation, Vilnius University. Accessed January 23, 2021. http://vddb.laba.lt/obj/LT-eLABa-0001:E.02~2009~D_20090312_091000-74094 ;.

MLA Handbook (7th Edition):

Bružaitė, Kristina. “Some linear models of time series with nonstationary long memory.” 2009. Web. 23 Jan 2021.

Vancouver:

Bružaitė K. Some linear models of time series with nonstationary long memory. [Internet] [Doctoral dissertation]. Vilnius University; 2009. [cited 2021 Jan 23]. Available from: http://vddb.laba.lt/obj/LT-eLABa-0001:E.02~2009~D_20090312_091000-74094 ;.

Council of Science Editors:

Bružaitė K. Some linear models of time series with nonstationary long memory. [Doctoral Dissertation]. Vilnius University; 2009. Available from: http://vddb.laba.lt/obj/LT-eLABa-0001:E.02~2009~D_20090312_091000-74094 ;

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