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Estimates of the Regression Coefficient Based on Kendall's Tau
- P. Sen
- Mathematics
- 1 December 1968
Abstract The least squares estimator of a regression coefficient β is vulnerable to gross errors and the associated confidence interval is, in addition, sensitive to non-normality of the parent…
Theory of rank tests
Introduction and Coverage. Preliminaries. Elementary Theory of Rank Tests. Selected Rank Tests. Computation of Null Exact Distributions. Limiting Null Distributions. Limiting Non-Null Distributions.…
Introduction to bivariate and multivariate analysis
- P. Sen, R. Lindeman, P. Merenda, R. Z. Gold
- Mathematics
- 1 September 1981
Large Sample Methods in Statistics: An Introduction with Applications
This text bridges the gap between sound theoretcial developments and practical, fruitful methodology by providing solid justification for standard symptotic statistical methods. It contains a unified…
Probability Inequalities for Sums of Bounded Random Variables
If S is a random variable with finite rnean and variance, the Bienayme-Chebyshev inequality states that for x > 0,
$$\Pr \left[ {\left| {S - ES} \right| \geqslant x{{{(\operatorname{var}…
Constrained Statistical Inference: Inequality, Order, and Shape Restrictions
- M. Silvapulle, P. Sen
- Mathematics
- 29 October 2001
Dedication. Preface. 1. Introduction. 1.1 Preamble. 1.2 Examples. 1.3 Coverage and Organization of the Book. 2. Comparison of Population Means and Isotonic Regression. 2.1 Ordered Hypothesis…
Within‐cluster resampling
- E. Hoffman, P. Sen, C. Weinberg
- Mathematics
- 1 December 2001
Within-cluster resampling is proposed as a new method for analysing clustered data. Although the focus of this paper is clustered binary data, the within-cluster resampling asymptotic theory is…
Order statistics and inference : estimation methods
- P. Sen, N. Balakrishnan, A. Cohen
- Mathematics
- 1 September 1992
List of Tables. List of Figures. Introduction. Basic Theory. Moments and Other Expected Values. Linear Estimation Based on Order Statistics. Maximum Likelihood Estimation. Approximate Maximum…
Robust Statistical Procedures: Asymptotics and Interrelations
- J. Jurecková, P. Sen
- Mathematics, Economics
- 5 April 1996
ASYMPTOTICS AND INTERRELATIONS Preliminaries Robust Estimation of Location and Regression Asymptotic Representations for L-Estimators Asymptotic Representations for M-Estimators Asymptotic…
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