Imputation Estimators Partially Correct for Model Misspecification

Inference problems with incomplete observations often aim at estimating population properties of unobserved quantities. One simple way to accomplish this estimation is to impute the unobserved quantities of interest at the individual level and then take an empirical average of the imputed values. We show that this simple imputation estimator can provide partial protection against model misspecification. We illustrate imputation estimators' robustness to model specification on three examples: mixture model-based clustering, estimation of genotype frequencies in population genetics, and estimation of Markovian evolutionary distances. In the final example, using a representative model misspecification, we demonstrate that in non-degenerate cases, the imputation estimator dominates the plug-in estimate asymptotically. We conclude by outlining a Bayesian implementation of the imputation-based estimation.Comment: major rewrite, beta-binomial example removed, model based clustering is added to the mixture model example, Bayesian approach is now illustrated with the genetics exampl

The scientific basis of professional music education

The article presents the research bases for the development of student science, the results of the analysis of the creative function of the performer and teacher, the role of the scientific work of the musician-performerОсвещены результаты анализа творческой функции исполнителя и педагога, роль научной работы музыканта-исполнител

Altai in the Pre-Turkic Period: Historical Fate of the Nomads of the Dyalyan Tradition of Ritual Practice

The article presents the study of the Dyalyan tradition of ritual practice characteristic of one of the groups of the Bulan-Koby archaeological culture of Altai in the last quarter of the 1st millennium BC – the first half of the 1st millennium AD. The key features of this tradition are identified, the most significant of which is the burial of an individual oriented to the western sector of the horizon, accompanied by a horse laid “above” or “at the feet” of the buried individual. 45 similar burials localized in the northern and central Altai have been excavated to date. These burials demonstrate the features of the formation and evolution of the Dyalyan tradition throughout the entire period of the existence of the Bulan-Koby culture. This group of the population had the greatest importance in the pre-Turkic period (second half of the 4th – first half of the 5th centuries AD). New materials from the excavations of the Choburak-I necropolis, one of the demonstrative objects of which is published and analyzed in the article, confirm that in the nomads of Dyalyan tradition were representatives of the local elite in the Northern Altai. This is evidenced by the composition of the accompanying inventory from the studied burials which included advanced models of weapons and defensive armament, equipment for a person and a riding horse. The possibilities of reconstructing the historical fate of the Dyalyan tradition bearers are presented. It should be stressed that the characteristic features of the rite were not continued in the funeral practice of the early medieval Turks. The available rather fragmentary materials make it possible to outline the western direction of the migrations of the “Dyalyans” (probably as part of the Rouran community), as well as to make an assumption about their participation in the formation of certain population groups of the Srostki culture of the Forest-Steppe Altai

Application of geographic information systems to analyze the activities of educational organizations

The article discusses the possibility of using geographic information systems (GIS) in solving the problems of education management, describes the requirements for the design and functions of GIS, describes the layout of GIS for territorial analysis of the results activities of universitiesВ статье рассмотрены возможности использования геоинформационных систем (ГИС) в решении задач управления образованием, описаны требования к разработке и функции ГИС, приведено описание макета геоинформационной системы, предназначенной для территориального анализа результатов деятельности вузо

Formation of information-analytical materials on the results of the monitoring efficiency of higher education schools

The article discusses the main aspects of the formation of information-analytical materials on the basis of verified statistical information in the framework of the expert-analytical support for monitoring the effectiveness of higher education schoolsВ статье рассмотрены основные аспекты формирования информационно-аналитических материалов на основе верифицированной статистической информации в рамках экспертно-аналитического сопровождения проведения мониторинга эффективности деятельности образовательных организаций высшего образовани

Correlation Time-of-flight Spectrometry of Ultracold Neutrons

The fearures of the correlation method used in time-of-flight spectrometry of ultracold neutrons are analyzed. The time-of-flight spectrometer for the energy range of ultracold neutrons is described, and results of its testing by measuring spectra of neutrons passing through interference filters are presented.Comment: 16 pages, 5 figure

Possibilities and features of zero-ischemia nephron-sparing surgery in localized kidney cancer

Kidney cancer (KCa) is one of the greatest challenges in oncological urology due to the increase in morbidity and mortality rates annually. In the treatment of KCa, preservation of renal function is an important objective, in addition to achieving oncological results. The article presents the experience of treatment of 175 KCa-patients of pT1a – T2aN0M0 stages, who underwent nephron-saving surgery (NSS) with preventive hemostatic sutures. Functional outcomes of NSS were studied in the groups without cross-linking (group 1; n = 150) and with cross-linking of the renal pedicle (group 2; n = 25). Kidney resection with prophylactic suturing has been shown to allow removal of a tumour of almost any localisation. By avoiding cross-linking of the renal pedicle during surgery, post-ischemic changes in the renal parenchyma are minimised. Thus, one month after surgery, the perfusion indexes in groups 1 & 2 were 45.2 ± 3.0% vs 35.5 ± 3.3%; renal indexes were 44.8 ± 2.4% vs 39.1 ± 1.4%; areas of the functioning parenchyma were 52.0 ± 10.0% vs 35.0 ± 9.0%, respectively

Prognosis of recurrent myocardial infarction based on shortliffe fuzzy models using the electrical characteristics of biologically active points

This report discusses the employment of the electrical characteristics of biologically active points (BAP) in the meridian of the heart to solve the task of prognosticating recurrence of myocardial infarctions during the rehabilitation period using fuzzy decision rule

A necessary condition of potential blowup for the Navier–Stokes system in half-space

Assuming that T is a potential blow up time for the Navier–Stokes system in andreals;3+, we show that the norm of the velocity field in the Lorenz space L3,q with q andlt; andinfin; goes to andinfin; as time t approaches T.</p