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 | ASYMPTOTIC METHODS IN PROBABILITY AND STATISTICS
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A Volume in Honour of Miklós Csörgő Buy online with a credit card in the Elsevier Science & Technology Bookstore: http://books.elsevier.com/elsevier/?isbn=0444500839
Edited by
B. Szyszkowicz, Carleton University, Dept. of Mathematics and Statistics, Ottawa, Canada
Description
One of the aims of the conference on which this book is based, was to provide a platform for the exchange of recent findings and new ideas
inspired by the so-called Hungarian construction and other approximate methodologies. This volume of 55 papers is dedicated
to Miklós Csörgő a co-founder of the Hungarian construction school by the invited speakers and contributors
to ICAMPS'97.
This excellent treatize reflects the many developments in this field, while pointing to new directions to be explored.
An unequalled contribution to research in probability and statistics.
Contents
Preface. List of Contributors.
Part 1: Limit Theorems for variously mixing and quasi-associated random variables.
Rényi-mixing
of occupation times (S. Csörgo). Limit theorems for maximal random sums (P. Kowalski, Z. Rychlik). Limit theorems for partial sums
of quasi-associated random variables (T.M. Lewis). On the central limit theorem for triangular arrays of φ-mixing sequences (M. Peligrad).
Part 2: Central limit theorems for logarithmic averages.
Results and problems related to the pointwise central limit theorem (I.
Berkes). On two ergodic properties of self-similar processes (E. Csáki, A. Földes).
Part 3: Strong approximations, weighted
approximations.
Jump diffusion approximation for a Markovian transport model (A.R. Dabrowski, H. Dehling). On the local oscillations
of emperical and quantile processes (P. Deheuvels). Strong approximations in queueing theory (P.W. Glynn). Applications of weighted approximations
via quantile inequalities (G.R. Shorack).
Part 4: Emperical distributions and processes.
Emperical processes based on pseudo-observations
(K. Ghoudi, B. Remillard). A uniform Marcinkiewicz-Zygmund strong law of large numbers for emperical processes (P. Massart, E. Rio).
On the comparison of theoretical and emperical distribution functions (L. Takács).
Part 5: Iterated random walks.
A random
walk on a random walk path (K. Grill). Long excursions and iterated processes (P. Révész).
Part 6: Fine analytic path
behaviour of the oscillations of stochastic processes.
Integral tests for some processes related to Brownian motion (S. Keprta).
A lim inf result for the Brownian motion (W.V. Li). On the increments of l
8-valued Gaussian processes (Z.Y. Lin,
Y.C. Qin). A note on how small are the incrementals of a fractal Wiener process (C.-R. Lu, H. Yu). On a conjecture of Révész
and its analogue for renewal processes (J. Steinebach). Asymptotic results for self-similar Markov processes (Y. Xiao).
Part 7: Multiparameter
stochastic processes.
On Strassen's version of the law of the iterated logarithm for the two-parameter Wiener process (B. Chen).
A maximal inequality and tightness for multiparameter stochastic processes (B.G. Ivanoff, N.C. Weber).
Part 8: Results related to
studies of local time and hitting times of Bessel processes, a cautionary note on limiting sigma-algebras.
On asymptotic independence
of partial sums (E. Csáki, A. Földes). Limiting sigma-algebras --- some counterexamples (D.L. Hanson). Convergence in law
and convergence of moments: an example related to Bessel processes (Y. Hu, M. Yor).
Part 9: Large deviations, small ball problems,
self normalization.
Analytic aspects of multilevel large deviations (D.A. Dawson, J. Gärtner). Large deviation upper bound and
its application to measure values processes (S. Feng). Gaussian measure of a small ball and capacity in Wiener space (D. Khoshnevisan,
Z. Shi). Recent developments on self-normalized limit theorems (Q.-M. Shao).
Part 10: Stochastic bifurcation.
On the time and
direction of stochastic bifurcation (K. Burdzy, D.M. Frankel, A. Pauzner).
Part 11: Change-point analysis, u-statistics, non-smooth
functions, comparison distributions.
Change point tests for randomly censored data (E-E. A.A. Aly). Weighted approximations of parameters-estimated
empirical processes and changepoint analysis (J.A. Correa). The application of change point tests to data in fair hiring cases (B. Freidlin,
J.L. Gastwirth). Parameter estimated standardized u-statistics (E. Gombay, L. Horváth). Remarks on test procedures for gradual
changes (M. Hušková). Tests for constancy of a mean (F. Lombard). Non-parametric models for non-smooth functions (H.-G.
Müller). Statistical methods mining, two sample data analysis, comparison distributions, and quantile limit theorems (E. Parzen).
Part 12: Emperical reliability, survival analysis.
On the Cox regression (L. Rejto, G. Tusnády). Some further results on
the limiting proportion of types (M.D. Rothmann, R.P. Russo). Estimation of percentile residal lifetime processes for stationary observations
(H. Yu). Ther Vervaat process (R. Zitikis).
Part 13: Gaussian bootstrap, Monte Carlo simulation.
A Gaussian bootstrap approach
to estimation and tests (M.D. Burke). Tabulating weighted sup-norm functionals of Brownian bridges via Monte Carlo simulation(B.J. Eastwood,
V.R. Eastwood).
Part 14: Autoregressive and moving average schemes.
Upper and lower bounds for the tail of the invariant distribution
of some AR(1) processes (G. Haiman). Non Gaussian autoregressive and moving average schemes (M. Rosenblatt).
Part 15: Nonparametric
curve estimations, regression diagnostics.
A regression residual process (R.J. Kulperger). A note on nonparametric estimations (P.
Major, L. Rejto). Convergence rates for maximal score estimators in binary response regressions (S. Portnoy).
Part 16: Testing statistical
hypotheses.
Applications of Hamming distance to the analysis of block designs (M. Alvo, P. Cabilio). Bayesian sequential and fixed
sample testing of multihypotheses (J. Babb, A. Rogatko, S. Zacks). Vanishing shortcoming of data driven Neyman's tests (T. Inglot, W.C.M.
Kallenberg, T. Ledwina).
Part 17: Tail index estimation, order statistics of order statistics.
Estimating the tail index (S. Csörgo,
L. Viharos). Stability criteria for order statistics of order statistics (R.J. Tomkins).
| Bibliographic details |
Hardbound, 914 pages, publication date: NOV-1998
ISBN-13: 978-0-444-50083-0
ISBN-10: 0-444-50083-9
Imprint: NORTH-HOLLAND
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Price:
USD 308 EUR 271 GBP 181
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Last update: 26 Sep 2008
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