World population projections, 2020

The world's population, today numbering some 5.5 billion people, may approach 12 billion by the end of the next century. By the year 2020, 26 years from today, it will most likely have increased by about 2.5 billion to a total of 8 billion people, an increase of nearly 100 million a year. Over 93 percent of this growth will take place in the developing countries. Nygaard contends that two regions in particular merit attention. South Asia and Africa, where large percentages of the poor live today and where future food production is of concern, face substantial increases in their populations. India, Pakistan, and Bangladesh plus the continent of Africa will add another 1.5 billion people to the population roles.Population forecasting. ,Population Statistics. ,Population growth. ,Africa Economic conditions. ,Asia Economic conditions. ,Bangladesh. ,Pakistan. ,India. ,

Bilateral Random Projections

Low-rank structure have been profoundly studied in data mining and machine learning. In this paper, we show a dense matrix $X$'s low-rank approximation can be rapidly built from its left and right random projections $Y_1=XA_1$ and $Y_2=X^TA_2$, or bilateral random projection (BRP). We then show power scheme can further improve the precision. The deterministic, average and deviation bounds of the proposed method and its power scheme modification are proved theoretically. The effectiveness and the efficiency of BRP based low-rank approximation is empirically verified on both artificial and real datasets.Comment: 17 pages, 3 figures, technical repor

Future demand for long-term care, 2002 to 2041: projections of demand for long-term care for older people in England

The financing of long-term care raises a great many questions. How many older people are likely to require long-term care services in the coming decades? How much are these services likely to cost? Will the cost to public funds prove affordable? Who should pay? How should costs be divided between public expenditure and private sources of finance? In order to address these issues, reliable projections are needed of future demand for long-term care and future long-term care expenditure. This paper presents projections of demand for long-term care for older people in England to 2041 and associated future expenditure. The projections were produced using an updated and expanded version of the Personal Social Services Research Unit’s (PSSRU) long-term care projections model. The version of the model used here has a base year of 2002 and incorporates the 2004-based official population projections. The first part of the paper describes the PSSRU long-term care finance research programme and recent associated projects. The second part of the paper describes the updated and expanded PSSRU long-term care projections model, including details of the data used in this updated version. The third part presents a set of base case assumptions and the projections obtained using those assumptions. The fourth part investigates the sensitivity of the projections to changes in those assumptions. Section five discusses the findings. A final section sets out some conclusions