Heavy tail analysis for functional and internet anomaly data

2021 Summer.Includes bibliographical references.This dissertation is concerned with the asymptotic theory of statistical tools used in extreme value analysis of functional data and internet anomaly data. More specifically, we study four problems associated with analyzing the tail behavior of functional principal component scores in functional data and interarrival times of internet traffic anomalies, which are available only with a round-off error. The first problem we consider is the estimation of the tail index of scores in functional data. We employ the Hill estimator for the tail index estimation and derive conditions under which the Hill estimator computed from the sample scores is consistent for the tail index of the unobservable population scores. The second problem studies the dependence between extremal values of functional scores using the extremal dependence measure (EDM). After extending the EDM defined for positive bivariate observations to multivariate observations, we study conditions guaranteeing that a suitable estimator of the EDM based on these scores converges to the population EDM and is asymptotically normal. The third and last problems investigate the asymptotic and finite sample behavior of the Hill estimator applied to heavy-tailed data contaminated by errors. For the third one, we show that for time series models often used in practice, whose non–contaminated marginal distributions are regularly varying, the Hill estimator is consistent. For the last one, we formulate conditions on the errors under which the Hill and Harmonic Moment estimators applied to i.i.d. data continue to be asymptotically normal. The results of large and finite sample investigations are applied to internet anomaly data

Summary of Dissertation Recitals Three Programs of Piano Music

Three piano recitals of diverse repertoire were given in lieu of a written dissertation. Wednesday, April 27, 2011, 8:00 p.m., School of Music Britton Recital Hall, The University of Michigan. Alberto Ginastera Piano Sonata No. 1, opus 22 Thursday, January 24, 2013, 5:30 p.m., School of Music Britton Recital Hall, The University of Michigan. Alexander Scriabin Four Preludes, opus 48; Alexander Scriabin Sonata No. 2 in G-sharp Minor (“Sonata-Fantasy”), opus 19; Issac Albéniz Triana from Iberia, Book II; Brahms Variations and Fugue on a Theme by Händel, opus 24 Saturday, April 19, 2014, 5:00 p.m., Stamps Auditorium in Walgreen Drama Center, The University of Michigan. Franz Schubert Sonata in D Major, D. 850; Mikhail Glinka (transcribed by Mily Balakirev) Zhavoronok ("The Lark"); Sergei Rachmaninoff Sonata No. 2 in B-flat Minor, opus 36AMUMusic: PerformanceUniversity of Michigan, Horace H. Rackham School of Graduate Studieshttps://deepblue.lib.umich.edu/bitstream/2027.42/147581/1/mihyony_1.pd

Seoul Hope Plus Savings Accounts: Asset-Building Program for Low-Income Households in Seoul (Second-Year Collaborative Research Report)

Seoul Hope Plus Savings Accounts: Asset-Building Program for Low-Income Households in Seoul (Second-Year Collaborative Research Report

The Measure of Han

Han is an untranslatable Korean affect associated with historical unresolved grief, separated families, and loss of collective identity. Han is an accumulation of intergenerational trauma, which in the North American context has been sustained by suspended assimilation and dislocation/migration. Through relational methodology, the in/visible limits of its translatability are revealed/concealed. The Measure of Han, exhibited at Ignite Gallery, Toronto, brought inherited and copied objects, ritual in repetition, sound/video, and daily artist activations together in a temporal installation as the outcomes of the MFA research-creation

Seoul Hope Plus Savings Accounts: Asset-Building Program for Low-Income Households in Seoul

Seoul Hope Plus Savings Accounts: Asset-Building Program for Low-Income Households in Seou

Effect of Achyranthes bidentata

The present study investigated the antiobesity effect of Achyranthes bidentata Blume root water extract in a 3T3-L1 adipocyte differentiation model and rats fed with a high-fat diet. To investigate the effect of Achyranthes bidentata Blume on adipogenesis in vitro, differentiating 3T3-L1 cells in adipocyte-induction media were treated every two days with Achyranthes bidentata Blume at various concentrations (1 to 25 μg/mL) for eight days. We found that Achyranthes bidentata Blume root inhibited 3T3-L1 adipocyte differentiation without affecting cell viability, and Western blot analysis revealed that phospho-Akt expression was markedly decreased, whereas there was no significant change in perilipin expression. Furthermore, administration of Achyranthes bidentata Blume root (0.5 g/kg body weight for six weeks) to rats fed with a high-fat diet significantly reduced body weight gain without affecting food intake, and the level of triglyceride was significantly decreased when compared to those in rats fed with only a high-fat diet. These results suggest that Achyranthes bidentata Blume root water extract could have a beneficial effect on inhibition of adipogenesis and controlling body weight in rats fed with a high-fat diet

Successful Management of a Rare Case of Stent Fracture and Subsequent Migration of the Fractured Stent Segment Into the Ascending Aorta in In-Stent Restenotic Lesions of a Saphenous Vein Graft

Stent fracture is a complication following implantation of drug eluting stents and is recognized as one of the risk factors for in-stent restenosis. We present the first case of successfully managing a stent fracture and subsequent migration of the fractured stent into the ascending aorta that occurred during repeat revascularization for in-stent restenosis of an ostium of saphenous vein graft after implantation of a zotarolimus-eluting stent. Although the fractured stent segment had migrated into the ascending aorta with a pulled balloon catheter, it was successfully repositioned in the saphenous vein graft using an inflated balloon catheter. Then, the fractured stent segment was successfully connected to the residual segment of the zotarolimus-eluting stent by covering it with an additional sirolimuseluting stent

Late Stent Thrombosis After Drug-Eluting Stent Implantation: A Rare Case of Accelerated Neo-Atherosclerosis and Early Manifestation of Neointimal Rupture

An 80-year old woman suffered from sudden onset of chest pain and dyspnea, and visited the emergency room. She received stent implantation with a biolimus A9-eluting stent (Nobori® 3.0×24 mm) at a the mid-portion of the left anterior descending artery 5 months prior to admission. The emergency 5-month follow-up angiogram was performed under the impression of late stent thrombosis. The follow-up angiogram showed subtotal occlusion at the mid-portion of the left anterior descending artery, which was the same segment of previous stent implantation 5 months ago. Immediately after thrombus aspiration with the thrombus aspiration catheter, the optical coherence tomography showed layered appearance of neointimal hyperplasia and neointimal rupture within the previously stented segment. Thus, neointimal rupture within accelerated growth of neointimal tissue was observed within a relatively shorter period (i.e., about 5 months) after stent implantation