Festschrift for Lucien Le CAM: Research Papers in Probability and Statistics

ISBN-13: 9781461273233 / Angielski / Miękka / 2012 / 435 str.

David Pollard; Erik Torgersen; Grace L. Yang

Opis

Contributed in honour of Lucien Le Cam on the occasion of his 70th birthday, the papers reflect the immense influence that his work has had on modern statistics. They include discussions of his seminal ideas, historical perspectives, and contributions to current research - spanning two centuries with a new translation of a paper of Daniel Bernoulli. The volume begins with a paper by Aalen, which describes Le Cams role in the founding of the martingale analysis of point processes, and ends with one by Yu, exploring the position of just one of Le Cams ideas in modern semiparametric theory. The other 27 papers touch on areas such as local asymptotic normality, contiguity, efficiency, admissibility, minimaxity, empirical process theory, and biological medical, and meteorological applications - where Le Cams insights have laid the foundations for new theories.

Spis treści

1 Counting Processes and Dynamic Modelling.- 2 Multivariate Symmetry Models.- 3 Local Asymptotic Normality of Ranks and Covariates in Transformation Models.- 4 From Model Selection to Adaptive Estimation.- 5 Large Deviations for Martingales.- 6 An Application of Statistics to Meteorology:Estimation of Motion.- 7 At the Interface of Statistics and Medicine:Conflicting Paradigms.- 8 Points Singuliers des Modèles Statistiques.- 9 Exponential Tightness and Projective Systems in Large Deviation Theory.- 10 Consistency of Bayes Estimates for Nonparametric Regression:A Review.- 11 Renormalizing Experiments for Nonlinear Functionals.- 12 Universal Near Minimaxity of Wavelet Shrinkage.- 13 Empirical Processes and p-Variation.- 14 A Poisson Fishing Model.- 15 Lower Bounds for Function Estimation.- 16 Some Estimation Problems in Infinite Dimensional Gaussian White Noise.- 17 On Asymptotic Inference in AR and Cointegrated Models With Unit Roots and Heavy Tailed Errors.- 18 Le Cam at Berkeley.- 19 Another Look at Differentiability in Quadratic Mean.- 20 On a Set of the First Category.- 21 A Limiting Distribution Theorem.- 22 Minimum Distance Estimates with Rates under 0-Mixing.- 23 Daniel Bernoulli, Leonhard Euler, and Maximum Likelihood (including a new translation of a paper by D. Bernoulli).- 24 Asymptotic Admissibility and Uniqueness of Efficient Estimates in Semiparametric Models.- 25 Contiguity in Nonstationary Time Series.- 26 More Optimality Properties of the Sequential Probability Ratio Test.- 27 Superefficiency.- 28 Le Cam’s Procedure and Sodium Channel Experiments.- 29 Assouad, Fano, and Le Cam.

O autorze

Lucien Le Cam of the University of California, Berkeley, is one of the seminal figures in the development of statistical and probability theory in the twentienth century. This collection of original papers in honor of his 70th paper discuss and develop many of his ideas, and the contributors are among the best reserachers in these areas.