Asymptotics in Statistics and Probability: Papers in Honor of George Gregory Roussas

Asymptotics in Statistics and Probability: Papers in Honor of George Gregory Roussas

By: Madan Lal Puri (editor)Hardback

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Part 1 Trend estimation in correlated noise, Rudolf Beran: the lumber-thickness data; asymptotically minimax estimators; proofs. Part 2 Higher order analysis at Lebesgue points, A. Berlinet and S. Levallois: definitions and main results; two examples with infinite derivatives; example with discontinuity of the second kind; conclusion. Part 3 Regression analysis for multivariate failure time observations, T. Cai and L.J. Wei: estimation of regression parameters; simultaneous predictions of survival probabilities and related quantities; example; appendix -asymptotic joint distribution of {b*k} with discrete covariates. Part 4 Local estimation of a biometric function with covariate effects, Zongwu Cai and Lianfen Qian: local likelihood method; an exponential regression approach; simulation study; appendix. Part 5 The estimation of conditional densities, X. Chen et al: kernel conditional density estimates; asymptotic theory of conditional density estimates and bandwidth choice. Part 6 Functional limit theorems for induced order statistics of a sample from a domain of attraction of a-stable law, a I (0,2), Yu. Davydov and V. Egorov: notation; auxillary facts; main results; lemmas; proofs; concluding remarks. Part 7 Limit laws for kernel density estimators for kernels with unbounded supports, Paul Deheuvel: introduction and results; proofs. Part 8 Inequalities for a new data-based method for selecting nonparametric density estimates, Luc Devroye et al: the basic estimate; standard kernel estimate -Riemann kernels; standard kernel estimate - general kernels; multiparameter kernel estimates - product kernels; multiparameter kernel estimates - ellipsoidal kernels; the transformed kernel estimate; Monte Carlo simulations; proof of theorem 1. Part 9 B-fuzzy stochastics, C.A. Drossos et al: preliminaries; basic results; B-fuzzy structures; B-fuzzy statistics. Part 10 Detecting jumps in nonparametric regression, Ch. Dubowik and U. Stadtmuller: the proposed model; new results; simulations; appendix. (Part contents).

Product Details

  • ISBN13: 9789067643337
  • Format: Hardback
  • Number Of Pages: 453
  • ID: 9789067643337
  • weight: 945
  • ISBN10: 9067643335

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