On negative moments of generalized poisson distribution

The negative moments have been used in estimation theory and life testing problems. In this paper we obtain the first inverse moment of a decapitated generalized Poisson distribution of Consul and Jain (1973) and exhibit an application in the estimation of soil micro-organisms.     

Minimum variance unbiased estimation in a modified power series distribution and some of its applications

In this paper we study the minimum variance unbiased estimation in the modified power series distribution introduced by the author (1974a). Necessary and sufficient conditions for the existence of minimum variance unbiased estimate (MVUE) of the parameter based on sufficient statistics are obtained. These results are, then, applied to obtain MVUE of θ^r (r ≥ 1) for the generalized negative binomial and the decapitated generalized negative binomial distributions (Jain and Consul, 1971). Similar estimates are obtained for the generalized Poisson (Consul and Jain, 1973a) and the generalized logarithmic series distributions (Jain and Gupta, 1973). Several of the well-known results follow trivially from the results obtained here.     

Nonparametric empirical bayes estimation of the probability that x ≥ y

A sequence of empirical Bayes estimators is defined for estimating, in a two-sample problem, the probability that X ≥ Y. The sequence is shown to be asymptotically optimal relative to a Ferguson Dirichlet process prior.     

A Procedure for Identification of Principal Variables by Least Generalized Dependence

Principal components are often used for reducing dimensions in multivariate data, but they frequently fail to provide useful results and their interpretation is rather difficult. In this article, the use of entropy optimization principles for dimensional reduction in multivariate data is proposed. Under the assumptions of multivariate normality, a four-step procedure is developed for selecting principal variables and hence discarding redundant variables. For comparative performance of the information theoretic procedure, we use simulated data with known dimensionality. Principal variables of cluster bean (Guar) are identified by applying this procedure to a real data set generated in a plant breeding experiment.     

A new approach: Interrelated two-way clustering of gene expression data

The paper presents a new approach to interrelated two-way clustering of gene expression data. Clustering of genes has been effected using entropy and a correlation measure, whereas the samples have been clustered using the fuzzy C-means. The efficiency of this approach has been tested on two well known data sets: the colon cancer data set and the leukemia data set. Using this approach, we were able to identify the important co-regulated genes and group the samples efficiently at the same time.     

Demography of Indian aging, 2001-2051

India is the second largest country in the world, with 72 million elderly persons above 60 years of age as of 2001, compared to China's 127 million. One of the objectives of this paper is to assess the emerging scenario of elderly for the first half of the 21st century. According to projections, the elderly in the age group 60 and above is expected to increase from 71 million in 2001 to 179 million in 2031, and further to 301 million in 2051; in the case of those 70 years and older, they are projected to increase from 27 million in 2001 to 132 million in 2051. Among the elderly persons 80 and above, they are likely to improve their numbers from 5.4 million in 2021 to 32.0 million in 2051. The increasing number and proportion of elderly will have a direct impact on the demand for health services and pension and social security payments. Mobilizing resources for geriatric care and providing sufficient maintenance for the elderly will emerge as a major responsibility for heath-care providers and pension economists.     

Book Reviews: E.A. Wrigley (ed.), Poverty,Progress and Population., Cambridge: Cambridge University Press, 2004, XIV+ 463 pp.

Book Review

Book Reviews: E.A. Wrigley (ed.), Poverty, Progress and Population., Cambridge: Cambridge University Press, 2004, XIV+ 463 pp.     

Book Reviews: Tim Dyson,Robert Cassen,and Leela Visaria (eds.), Twenty-First Century India: Population,Economy, Human Development,and the Environment. New York: Oxford University Press Inc., 2004, XXii + 414 pp.

Book Review

Book Reviews: Tim Dyson, Robert Cassen, and Leela Visaria (eds.), Twenty-First Century India: Population, Economy, Human Development, and the Environment. New York: Oxford University Press Inc., 2004, XXii + 414 pp.