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Journal ArticleDOI

Rank procedures for some two-population multivariate extended classification problems☆

01 Mar 1973-Journal of Multivariate Analysis (Academic Press)-Vol. 3, Iss: 1, pp 26-56
TL;DR: In this article, a class of consistent procedures based on the relative spacing of three sample averages of linearly compounded rank scores is formulated and the asymptotic operating characteristics of the procedures when F(1) and F(2) come close together are studied and the best choice of the compounding coefficients in terms of these considered.
About: This article is published in Journal of Multivariate Analysis.The article was published on 1973-03-01 and is currently open access. It has received 4 citations till now. The article focuses on the topics: Population.
Citations
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Journal ArticleDOI
TL;DR: The Handbook of Statistical Tables (HNT) as mentioned in this paper is a collection of tables from B.D. Owen's "Handbook of Statistical Table Tables" (1962).
Abstract: D. B. Owen: Handbook of Statistical Tables. London: Pergamon Press; Reading, Massachusetts: Addison‐Wesley, 1962. Pp. xii+580. 70s.

635 citations

Book ChapterDOI
TL;DR: A method that uses ranks of the discriminant scores to classify z and reviews robust and non-parametric discriminant functions are presented in the chapter.
Abstract: Publisher Summary As the LDF and QDF rules have simple forms and are based on the normal distribution, they have become the most widely used rules for discriminant analysis. Recently, statisticians have shown greater awareness and concern for the presence of outliers in sample data — that is, the observations that are abnormally distant from the center or the main body of the data. The outliers are particularly hard to spot in multivariate data because one cannot plot points in more than two or three dimensions. It is because of the persistence of non-normal data that are interested in non-parametric classification. A method that uses ranks of the discriminant scores to classify z and reviews robust and non-parametric discriminant functions are presented in the chapter. A method of ranking discriminant scores is also presented in the chapter. The rules for partial and forced classification are defined in terms of these ranks. The rank method provides an opportunity to adaptively select discriminant functions.

21 citations

Journal ArticleDOI
Hajime Eto1
TL;DR: A logical foundation is obtained to fill two gaps: one gap between subjective opinions and an objective event of technological breakthroughs, and the other gap between the distributed opinions and a single event.
Abstract: Consensus among experts in the technological forecasting by the Delphi method is here shown to be interpretable as a leading indicator or rather an antecedent factor of a national consensus and therefore as an intersubjective probability of choosing a particular policy among prospective policies when experts are properly selected. The condition under which this interpretation is valid is shown to hold in several Delphi surveys. Hence a logical foundation is obtained to fill two gaps: one gap between subjective opinions and an objective event of technological breakthroughs, and the other gap between the distributed opinions and a single event. Thus the statistical analysis of consensus is now given a meaning and the statistical methods are discussed to measure the consensus among experts in terms of, e.g., distribution matchings of their opinions. Experiences in technological and social forecastings and assessments are reported.

5 citations

Journal ArticleDOI
TL;DR: Shoutir Kishore Chatterjee (SKC) as discussed by the authors was the National Lecturer in Statistics (1985-1986), the President of the Section of Statistics of the Indian Science Congress (1989) and an Emeritus Scientist (1997-2000) of the Council of Scientific and Industrial Research, India.
Abstract: Shoutir Kishore Chatterjee was born in Ranchi, a small hill station in India, on November 6, 1934. He received his B.Sc. in statistics from the Presidency College, Calcutta, in 1954, and M.Sc. and Ph.D. degrees in statistics from the University of Calcutta in 1956 and 1962, respectively. He was appointed a lecturer in the Department of Statistics, University of Calcutta, in 1960 and was a member of its faculty until his retirement as a professor in 1997. Indeed, from the 1970s he steered the teaching and research activities of the department for the next three decades. Professor Chatterjee was the National Lecturer in Statistics (1985–1986) of the University Grants Commission, India, the President of the Section of Statistics of the Indian Science Congress (1989) and an Emeritus Scientist (1997–2000) of the Council of Scientific and Industrial Research, India. Professor Chatterjee, affectionately known as SKC to his students and admirers, is a truly exceptional person who embodies the spirit of eternal India. He firmly believes that “fulfillment in man’s life does not come from amassing a lot of money, after the threshold of what is required for achieving a decent living is crossed. It does not come even from peer recognition for intellectual achievements. Of course, one has to work and toil a lot before one realizes these facts.”

1 citations

References
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Book
01 Jan 1994
TL;DR: Continuous Distributions (General) Normal Distributions Lognormal Distributions Inverse Gaussian (Wald) Distributions Cauchy Distribution Gamma Distributions Chi-Square Distributions Including Chi and Rayleigh Exponential Distributions Pareto Distributions Weibull Distributions Abbreviations Indexes
Abstract: Continuous Distributions (General) Normal Distributions Lognormal Distributions Inverse Gaussian (Wald) Distributions Cauchy Distribution Gamma Distributions Chi-Square Distributions Including Chi and Rayleigh Exponential Distributions Pareto Distributions Weibull Distributions Abbreviations Indexes

7,270 citations

Journal ArticleDOI
01 Jan 1962

700 citations

Journal ArticleDOI
TL;DR: The Handbook of Statistical Tables (HNT) as mentioned in this paper is a collection of tables from B.D. Owen's "Handbook of Statistical Table Tables" (1962).
Abstract: D. B. Owen: Handbook of Statistical Tables. London: Pergamon Press; Reading, Massachusetts: Addison‐Wesley, 1962. Pp. xii+580. 70s.

635 citations