Approximate distributions

Sums of two squares near perfect squares by R. C. Vaughan∗∗∗ In memory of Pritish Limani (1983–2003) Abstract Let C be a nondegenerate planar curve and for a real, positive decreasing function ψ let C(ψ) denote the set of simultaneously ψapproximable points lying on C. We show that C is of Khintchine type for divergence; i.e. if a certain sum diverges then the onedimensional Lebesgue measure on C of C(ψ) is full. We also obtain the Hausdorﬀ measure analogue of the divergent Khintchine type result. ...
61p noel_noel 17012013 24 5 Download

Crossdocument coreference, the task of grouping all the mentions of each entity in a document collection, arises in information extraction and automated knowledge base construction. For large collections, it is clearly impractical to consider all possible groupings of mentions into distinct entities.
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We apply machine learning techniques to classify automatically a set of verbs into lexical semantic classes, based on distributional approximations of diatheses, extracted from a very large annotated corpus. Distributions of four grammatical features are sufficient to reduce error rate by 50% over chance. We conclude that corpus data is a usable repository of verb class information, and that corpusdriven extraction of grammatical features is a promising methodology for automatic lexical acquisition. ...
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Accurately representing synonymy using distributional similarity requires large volumes of data to reliably represent infrequent words. However, the na¨ve nearestı neighbour approach to comparing context vectors extracted from large corpora scales poorly (O(n2 ) in the vocabulary size). In this paper, we compare several existing approaches to approximating the nearestneighbour search for distributional similarity. We investigate the tradeoff between efﬁciency and accuracy, and ﬁnd that SASH (Houle and Sakuma, 2005) provides the best balance. ...
8p hongvang_1 16042013 19 1 Download

We consider the problem of producing a multidocument summary given a collection of documents. Since most successful methods of multidocument summarization are still largely extractive, in this paper, we explore just how well an extractive method can perform. We introduce an “oracle” score, based on the probability distribution of unigrams in human summaries. We then demonstrate that with the oracle score, we can generate extracts which score, on average, better than the human summaries, when evaluated with ROUGE. ...
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Statistical procedures of estimation and inference are most frequently justified in econometric work on the basis of certain desirable asymptotic properties. One estimation procedure may, for example, be selected over another because it is known to provide consistent and asymptotically efficient parameter estimates under certain stochastic environments.
68p phuonghoangnho 23042010 179 22 Download

Synchronization is the coordination of events to operate a system in unison. The familiar conductor of an orchestra serves to keep the orchestra in time. Systems operating with all their parts in synchrony are said to be synchronous or in sync. Firefighters marching in a parade Some systems may be only approximately synchronized, or plesiochronous. For some applications relative offsets between events need to be determined, for others only the order of the event is important. Today, synchronization can occur on a global basis due to GPSenabled timekeeping systems....
31p hoa_thuyvu 15102011 36 8 Download

The current study was undertaken in a new manufactured house set up as a research facility. The plan was to conduct longitudinal measurements of VOC concentrations in the house along with measurements of key physical parameters including house air change rate, indoor and outdoor temperature and relative humidity, and wind conditions over a period of approximately one year. The primary objective was to evaluate changes in the emissions of formaldehyde and other VOCs in response to time, house air change rate, and the other parameters.
149p ut_hai_can 29122012 25 6 Download

Chapter 19 INFERENCE MODELS IN ECONOMIC Many econometricians are apt to be uncomfortable when thinking about the concept. Large sample distribution theory is the cornerstone of statistical inference for econometric models. The limiting distribution of a statistic gives approximate distributional results.
44p mama15 30092010 32 5 Download

With time, it appeared mandatory to find the correct technique to determine the length of the artificial chordae. Sarsam et al., 2002 passed one or more 50 ePTFE sutures, supported by a felt pledget through the fibrous portion of the papillary muscle. The suture was left untied. The two arms of the suture were then passed once through the rough free edge of the prolapsing leaflet from the ventricular to the atrial side.
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The earliest stone tools were crude, being little more than a fractured rock. In the Acheulian era, beginning approximately 1.65 million years ago, methods of working these stone into specific shapes, such as hand axes emerged. The Middle Paleolithic, approximately 300,000 years ago, saw the introduction of the preparedcore technique, where multiple blades could be rapidly formed from a single core stone.
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Chapter21 RANDOM AND CHANGING COEFFICIENT MODELS GREGORY Large sample distribution theory is the cornerstone of statistical inference for econometric models. The limiting distribution of a statistic gives approximate distributional results that are often straightforward to derive, even in complicated econometric models.
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Chapter 25 ECONOMIC DATA ISSUES Large sample distribution theory is the cornerstone of statistical inference for econometric models. The limiting distribution of a statistic gives approximate distributional results that are often straightforward to derive, even in complicated econometric models.
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Chapter 36LARGE SAMPLE ESTIMATION TESTING AND HYPOTHESIS Large sample distribution theory is the cornerstone of statistical inference for econometric models. The limiting distribution of a statistic gives approximate distributional results that are often straightforward to derive, even in complicated econometric models.
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Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Iterative Approximation of Empirical GreyLevel Distributions for Precise Segmentation of Multimodal Images
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The proportion of public domain content in the HathiTrust Digital Library is relatively small (approximately 16% of titles in June 2010) and typically represents material that is not widely held in the library system; as a result, the number of libraries that might hope to reduce local print management costs for these titles through negotiated agreements with the HathiTrust and shared print providers is quite low. Moreover, the age and subject distribution of titles in the public domain is not representative of academic research collections as a whole.
110p yeurauxanh88 01102012 25 3 Download

First, the demand for land has been enormous. Compared to an average annual expansion of global agricultural land of less than 4 million hectares before 2008, approximately 56 million hectares worth of largescale farmland deals were announced even before the end of 2009. More than 70 percent of such demand has been in Africa; countries such as Ethiopia,Mozambique, and Sudan have transferred millions of hectares to investors in recent years. At the same time, in many cases the announced deals have never been implemented. Risks are often large.
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Contents Techniques r Introduction to Algorithms r Data Structures and Sorting r Breaking Problems Down r Graph Algorithms r Combinatorial Search and Heuristic Methods r Intractable Problems and Approximations r How to Design Algorithms Resources r A Catalog of Algorithmic Problems r Algorithmic Resources References Index About this document
0p khangoc2392 12082012 15 2 Download

For maternal mortality progress has been even more elusive. Despite 15 years of the Safe Motherhood Initiative, overall levels of maternal mortality are generally thought to have remained unchanged, with the latest estimate of deaths standing at approximately 530,000 per year (WHO, UNICEF et al. 2003). While a handful of countries have indeed experienced remarkable drops in maternal mortality ratio (an indicator of the safety of childbirth and pregnancy), in the great majority of high mortality countries, there has been little change.
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Requests for permission to reproduce or translate WHO publications – whether for sale or for noncommercial distribution – should be addressed to WHO Press through the WHO web site (http://www.who.int/about/ licensing/copyright_form/en/index.html). The designations employed and the presentation of the material in this publication do not imply the expression of any opinion whatsoever on the part of the World Health Organization concerning the legal status of any country, territory, city or area or of its authorities, or concerning the delimitation of its frontiers or boundaries.
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