Relevant bibliographies by topics / Asymptotic distribution of maxima

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Asymptotic distribution of maxima'

Author: Grafiati
Published: 4 September 2021
Last updated: 2 February 2022

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Journal articles on the topic "Asymptotic distribution of maxima"

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Kahounová, Jana. "Asymptotic Probability Distribution of Sample Maximum." Acta Oeconomica Pragensia 16, no. 3 (2008): 40–46. http://dx.doi.org/10.18267/j.aop.103.

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Vasudeva, R., J. Vasantha Kumari, and S. Ravi. "On the Asymptotic Behaviour of Extremes and Near Maxima of Random Observations from the General Error Distributions." Journal of Applied Probability 51, no. 02 (2014): 528–41. http://dx.doi.org/10.1017/s0021900200011402.

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As the name suggests, the family of general error distributions has been used to model nonnormal errors in a variety of situations. In this article we show that the asymptotic distribution of linearly normalized partial maxima of random observations from the general error distributions is Gumbel when the parameter of these distributions lies in the interval (0, 1). Our result fills a gap in the literature. We also establish the corresponding density convergence, obtain an asymptotic distribution of the partial maxima under power normalization, and state and prove a strong law. We also study th
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Vasudeva, R., J. Vasantha Kumari, and S. Ravi. "On the Asymptotic Behaviour of Extremes and Near Maxima of Random Observations from the General Error Distributions." Journal of Applied Probability 51, no. 2 (2014): 528–41. http://dx.doi.org/10.1239/jap/1402578641.

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As the name suggests, the family of general error distributions has been used to model nonnormal errors in a variety of situations. In this article we show that the asymptotic distribution of linearly normalized partial maxima of random observations from the general error distributions is Gumbel when the parameter of these distributions lies in the interval (0, 1). Our result fills a gap in the literature. We also establish the corresponding density convergence, obtain an asymptotic distribution of the partial maxima under power normalization, and state and prove a strong law. We also study th
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McCormick, William P., and Jiayang Sun. "Sums and maxima of discrete stationary processes." Journal of Applied Probability 30, no. 4 (1993): 863–76. http://dx.doi.org/10.2307/3214518.

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This paper considers the joint limiting behavior of sums and maxima of stationary discrete-valued processes. The asymptotic behavior is a cross between a central limit theorem and asymptotic bounds for the distribution of the maxima. Some applications and simulations are also included.
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McCormick, William P., and Jiayang Sun. "Sums and maxima of discrete stationary processes." Journal of Applied Probability 30, no. 04 (1993): 863–76. http://dx.doi.org/10.1017/s0021900200044624.

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This paper considers the joint limiting behavior of sums and maxima of stationary discrete-valued processes. The asymptotic behavior is a cross between a central limit theorem and asymptotic bounds for the distribution of the maxima. Some applications and simulations are also included.
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Ochi, Michel K., David Mesa, and De-Fu Liu. "ESTIMATION OF EXTREME SEA SEVERITY FROM MEASURED DAILY MAXIMA." Coastal Engineering Proceedings 1, no. 20 (1986): 49. http://dx.doi.org/10.9753/icce.v20.49.

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This paper presents the results of a study to statistically estimate the most severe sea state (significant wave height) expected in 50 and 100 years from analysis of data consisting of the largest significant wave height observed each day by applying the Type III asymptotic extreme value distribution. In applying the Type III asymptotic distribution, the distribution parameters are estimated by three different methods: the maximum likelihood method, the skewness method, and a nonlinear regression method. Since none of these methods estimates values of the parameters which satisfactorily yield
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Kang, Sungyeol, and Richard F. Serfozo. "Extreme values of phase-type and mixed random variables with parallel-processing examples." Journal of Applied Probability 36, no. 01 (1999): 194–210. http://dx.doi.org/10.1017/s002190020001696x.

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A basic issue in extreme value theory is the characterization of the asymptotic distribution of the maximum of a number of random variables as the number tends to infinity. We address this issue in several settings. For independent identically distributed random variables where the distribution is a mixture, we show that the convergence of their maxima is determined by one of the distributions in the mixture that has a dominant tail. We use this result to characterize the asymptotic distribution of maxima associated with mixtures of convolutions of Erlang distributions and of normal distributi
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Kang, Sungyeol, and Richard F. Serfozo. "Extreme values of phase-type and mixed random variables with parallel-processing examples." Journal of Applied Probability 36, no. 1 (1999): 194–210. http://dx.doi.org/10.1239/jap/1032374241.

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A basic issue in extreme value theory is the characterization of the asymptotic distribution of the maximum of a number of random variables as the number tends to infinity. We address this issue in several settings. For independent identically distributed random variables where the distribution is a mixture, we show that the convergence of their maxima is determined by one of the distributions in the mixture that has a dominant tail. We use this result to characterize the asymptotic distribution of maxima associated with mixtures of convolutions of Erlang distributions and of normal distributi
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Balkema, A. A., L. De Haan, and R. L. Karandikar. "Asymptotic distribution of the maximum of n independent stochastic processes." Journal of Applied Probability 30, no. 1 (1993): 66–81. http://dx.doi.org/10.2307/3214622.

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Balkema, A. A., L. De Haan, and R. L. Karandikar. "Asymptotic distribution of the maximum of n independent stochastic processes." Journal of Applied Probability 30, no. 01 (1993): 66–81. http://dx.doi.org/10.1017/s0021900200044004.

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Dissertations / Theses on the topic "Asymptotic distribution of maxima"

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Pilon, Paul J. "Gamma type distribution: Maximum likelihood values of the T-year event and their asymptotic variance." Thesis, University of Ottawa (Canada), 1990. http://hdl.handle.net/10393/5837.

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Maximum likelihood and censored sample theory are applied for flood frequency analysis purposes to the Two Parameter Gamma, log Two Parameter Gamma, Pearson Type III, log Pearson Type III (LP3), and Generalized Gamma distributions. The logarithmic likelihood functions are given in terms of the fully specified floods, the historical information, and the parameters to be estimated. Solution of the appropriate transcendental equations yields maximum likelihood estimators of the parameters. T-year floods are expressed as a function of these parameters and the standard normal variate. The asymptoti
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Saarnisaari, H. (Harri). "Asymptotic distributions of the correlator and maximum likelihood estimators of nonlinear signal parameters." Doctoral thesis, University of Oulu, 2000. http://urn.fi/urn:isbn:9514256840.

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Abstract In time delay estimation the correlator or, equivalently, matched filter estimator is widely used. Examples of its usage can be found in the global positioning system (GPS), radars and code division multiple access (CDMA) communication systems. Although widely used its performance is not studied in general case until recently. Partially this study is done in this thesis. If interfering signals like multipath or multiple access signals exist in addition to additive white Gaussian noise, as in GPS and CDMA, the correlator is not a maximum likelihood (ML) estimator. However, it is known
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Florez, Guillermo Domingo Martinez. "Extensões do modelo -potência." Universidade de São Paulo, 2011. http://www.teses.usp.br/teses/disponiveis/45/45133/tde-07072011-154259/.

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Em analise de dados que apresentam certo grau de assimetria a suposicao que as observações seguem uma distribuição normal, pode resultar ser uma suposição irreal e a aplicação deste modelo pode ocultar características importantes do modelo verdadeiro. Este tipo de situação deu forca á aplicação de modelo assimétricos, destacando-se entre estes a família de distribuições skew-symmetric, desenvolvida por Azzalini (1985). Neste trabalho nos apresentamos uma segunda proposta para a anàlise de dados com presença importante de assimetria e/ou curtose, comparado com a distribuição normal. Nós apresen
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Tatman, Stacie E. "A bivariate distribution connected with poissonian maxima of exponential variables." abstract and full text PDF (UNR users only), 2009. http://0-gateway.proquest.com.innopac.library.unr.edu/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqdiss&rft_dat=xri:pqdiss:1467770.

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Hofmann, Glenn, Erhard Cramer, N. Balakrishnan, and Gerd Kunert. "An Asymptotic Approach to Progressive Censoring." Universitätsbibliothek Chemnitz, 2002. http://nbn-resolving.de/urn:nbn:de:bsz:ch1-200201539.

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Progressive Type-II censoring was introduced by Cohen (1963) and has since been the topic of much research. The question stands whether it is sensible to use this sampling plan by design, instead of regular Type-II right censoring. We introduce an asymptotic progressive censoring model, and find optimal censoring schemes for location-scale families. Our optimality criterion is the determinant of the 2x2 covariance matrix of the asymptotic best linear unbiased estimators. We present an explicit expression for this criterion, and conditions for its boundedness. By means of numerical optimization
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Baligh, Mohammadhadi. "Analysis of the Asymptotic Performance of Turbo Codes." Thesis, University of Waterloo, 2006. http://hdl.handle.net/10012/883.

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Battail [1989] shows that an appropriate criterion for the design of long block codes is the closeness of the normalized weight distribution to a Gaussian distribution. A subsequent work shows that iterated product of single parity check codes satisfy this criterion [1994]. Motivated by these earlier works, in this thesis, we study the effect of the interleaver on the performance of turbo codes for large block lengths, $N\rightarrow\infty$. A parallel concatenated turbo code that consists of two or more component codes is considered. We demonstrate that for $N\rightarrow\infty$,
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Heimbürger, Axel. "Asymptotic Distribution of Two-Protected Nodes in m-ary Search Trees." Thesis, KTH, Matematik (Avd.), 2014. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-151318.

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In this report, the number of two-protected nodes in m-ary search trees is studied i.e., nodes with distance at least two to any leaf in the tree. This is of interest since the protected nodes describe local properties close to the leaves of the m-ary search trees. This is done by using a generalised Pólya urn model and relating this urn model to how the tree evolves after each new key is inserted into the tree. It is proven that the number of two-protected nodes in m-ary search trees is asymptotically normally distributed when m = 4, 5, 6 which is the main result. This is in agreement with pr
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Leroy, Fanny. "Etude des délais de survenue des effets indésirables médicamenteux à partir des cas notifiés en pharmacovigilance : Problème de l'estimation d'une distribution en présence de données tronquées à droite." Phd thesis, Université Paris Sud - Paris XI, 2014. http://tel.archives-ouvertes.fr/tel-01011262.

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Ce travail de thèse porte sur l'estimation paramétrique du maximum de vraisemblance pour des données de survie tronquées à droite, lorsque les délais de troncature sont considérés déterministes. Il a été motivé par le problème de la modélisation des délais de survenue des effets indésirables médicamenteux à partir des bases de données de pharmacovigilance, constituées des cas notifiés. Les distributions exponentielle, de Weibull et log-logistique ont été explorées.Parfois le caractère tronqué à droite des données est ignoré et un estimateur naïf est utilisé à la place de l'estimateur pertinent
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Mwawasi, Grace Makanda. "Approximations and asymptotic expansions for the distribution of quadratic and bilinear forms." Thesis, McGill University, 1992. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=56952.

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In this thesis, approximations and asymptotic expansions to the distribution of quadratic and bilinear forms in normal random variables are discussed.<br>Chi-square type approximations, normal approximations, the mixture approximation and the laplacian approximation to the exact distribution of positive definite and indefinite quadratic forms and bilinear forms are discussed. Several asymptotic results are also discussed.<br>Some numerical computations giving probabilities and percentage points and also some simulation for the distribution function of quadratic and bilinear forms are given to
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Breimesser, Sandra Verena. "Asymptotic value distribution for solutions of the Schrödinger equation and Herglotz functions". Thesis, University of Hull, 2001. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.272024.

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Books on the topic "Asymptotic distribution of maxima"

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Denker, Manfred. Asymptotic Distribution Theory in Nonparametric Statistics. Vieweg+Teubner Verlag, 1985. http://dx.doi.org/10.1007/978-3-663-14229-4.

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Asymptotic distribution theory in nonparametric statistics. Vieweg, 1985.

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N, Bhattacharya R. Asymptotic statistics. Birkhäuser Verlag, 1990.

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Levendorskiǐ, Serge. Asymptotic Distribution of Eigenvalues of Differential Operators. Springer Netherlands, 1990. http://dx.doi.org/10.1007/978-94-009-1918-1.

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Levendorskiĭ, Serge. Asymptotic distribution of eigenvalues of differential operators. Kluwer Academic Publishers, 1990.

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Palka, Zbigniew. Asymptotic properties of random graphs. Państwowe Wydawn. Nauk., 1988.

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Ibragimov, I. A., N. Balakrishnan, and Valery B. Nevzorov. Asymptotic methods in probability and statistics with applications. Springer Science+Business Media, 2001.

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Asymptotic Theory of Nonlinear Regression. Springer Netherlands, 1997.

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Fraser, D. A. S. Ancillaries and third order significance. University of Toronto, Department of Statistics, 1993.

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Small, Christopher G. Expansions and asymptotics for statistics. Chapman & Hall/CRC, 2010.

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Book chapters on the topic "Asymptotic distribution of maxima"

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Freitas, Ana Cristina Moreira. "Asymptotic Distribution of the Maximum for a Chaotic Economic Model." In Advances in Regression, Survival Analysis, Extreme Values, Markov Processes and Other Statistical Applications. Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-34904-1_20.

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Lazrieva, N. L., and T. A. Toronjadze. "Joint asymptotic distribution of the maximum likelihood estimator and M-estimator." In Lecture Notes in Mathematics. Springer Berlin Heidelberg, 1988. http://dx.doi.org/10.1007/bfb0078481.

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Akahira, Masafumi, and Kei Takeuchi. "Supplement The Bound for the Asymptotic Distribution of Estimators when the Maximum Order of Consistency Depends on the Parameter." In Non-Regular Statistical Estimation. Springer New York, 1995. http://dx.doi.org/10.1007/978-1-4612-2554-6_8.

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Pflug, Georg Ch. "On an Argmax-Distribution Connected to the Poisson Process." In Asymptotic Statistics. Physica-Verlag HD, 1994. http://dx.doi.org/10.1007/978-3-642-57984-4_9.

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Greenhouse, Samuel W., and Joseph L. Gastwirth. "The Joint Asymptotic Distribution of the Maximum Likelihood and Mantel-Haenszel Estimators of the Common Odds Ratio in k 2 x 2 Tables." In Modelling and Prediction Honoring Seymour Geisser. Springer New York, 1996. http://dx.doi.org/10.1007/978-1-4612-2414-3_16.

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Lalanne, Christian. "Probability Distribution of Maxima of Random Vibration." In Random Vibration. John Wiley & Sons, Ltd, 2014. http://dx.doi.org/10.1002/9781118931158.ch6.

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Ferguson, Thomas S. "Asymptotic Distribution of Sample Quantiles." In A Course in Large Sample Theory. Springer US, 1996. http://dx.doi.org/10.1007/978-1-4899-4549-5_13.

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Ivanov, Alexander V. "Approximation by a Normal Distribution." In Asymptotic Theory of Nonlinear Regression. Springer Netherlands, 1997. http://dx.doi.org/10.1007/978-94-015-8877-5_3.

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Rio, Emmanuel. "Empirical Distribution Functions." In Asymptotic Theory of Weakly Dependent Random Processes. Springer Berlin Heidelberg, 2017. http://dx.doi.org/10.1007/978-3-662-54323-8_7.

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Parring, Anne-Mai. "The Asymptotic Distribution of Regression Parameters." In Contributions to Statistics. Physica-Verlag HD, 1995. http://dx.doi.org/10.1007/978-3-662-12516-8_22.

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Conference papers on the topic "Asymptotic distribution of maxima"

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Kartchner, Darren R., and Sudharman K. Jayaweera. "A Modified Test Statistic for Maximum-Minimum Eigenvalue Detection Based on Asymptotic Distribution Thresholds." In 2018 Moratuwa Engineering Research Conference (MERCon). IEEE, 2018. http://dx.doi.org/10.1109/mercon.2018.8421979.

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Mackay, Ed B. L., and Philip Jonathan. "Estimation of Environmental Contours Using a Block Resampling Method." In ASME 2020 39th International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2020. http://dx.doi.org/10.1115/omae2020-18308.

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Abstract A new method for estimating joint distributions of environmental variables is presented. The key difference to previous methods is that the joint distribution of only storm-peak parameters is modelled, rather than fitting a model to all observations. This provides a stronger justification for the use of asymptotic extreme value models, as the data considered are approximately independent. The joint distribution of all data is recovered by resampling and rescaling storm histories, conditional on the peak values. This simplifies the analysis as much of the complex dependence structure i
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Das, Sonjoy, Roger Ghanem, and James C. Spall. "Asymptotic Sampling Distribution for Polynomial Chaos Representation of Data: A Maximum Entropy and Fisher information approach." In Proceedings of the 45th IEEE Conference on Decision and Control. IEEE, 2006. http://dx.doi.org/10.1109/cdc.2006.377613.

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Martel, Carlos, and Roque Corral. "Asymptotic Description of Maximum Mistuning Amplification of Bladed Disk Forced Response." In ASME Turbo Expo 2008: Power for Land, Sea, and Air. ASMEDC, 2008. http://dx.doi.org/10.1115/gt2008-50822.

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The problem of determining the maximum forced response vibration amplification that can be produced just by the addition of a small mistuning to a perfectly cyclical bladed disk still remains not completely clear. In this paper we apply a recently introduced perturbation methodology, the Asymptotic Mistuning Model (AMM), to determine which are the key ingredients of this amplification process, and to evaluate the maximum mistuning amplification factor that a given modal family with a particular distribution of tuned frequencies can exhibit. A more accurate upper bound for the maximum forced re
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Yu, Wenbin. "An Improved Reissner-Mindlin Plate Theory for Composite Laminates." In ASME 2004 International Mechanical Engineering Congress and Exposition. ASMEDC, 2004. http://dx.doi.org/10.1115/imece2004-59328.

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An improved Reissner-Mindlin theory for composite laminates without invoking ad hoc kinematic assumptions is constructed using the variational-asymptotic method. Instead of assuming a priori the distribution of three-dimensional displacements in terms of two-dimensional plate displacements as what is usually done in typical plate theories, an exact intrinsic formulation has been achieved by introducing unknown three-dimensional warping functions. Then the variational-asymptotic method is applied to systematically decouple the original three-dimensional problem into a one-dimensional through-th
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Vaiciulyte, Ingrida. "Adaptive Monte-Carlo Markov chain for multivariate statistical estimation." In International Workshop of "Stochastic Programming for Implementation and Advanced Applications". The Association of Lithuanian Serials, 2012. http://dx.doi.org/10.5200/stoprog.2012.21.

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The estimation of the multivariate skew t-distribution by the Monte-Carlo Markov Chain (MCMC) method is considered in the paper. Thus, the MCMC procedure is constructed for recurrent estimation of skew t-distribution, following the maximum likelihood method, where the Monte-Carlo sample size is regulated to ensure the convergence and to decrease the total amount of Monte-Carlo trials, required for estimation. The confidence intervals of Monte-Carlo estimators are introduced because of their asymptotic normality. The termination rule is also implemented by testing statistical hypotheses on an i
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BAI, ZHI-DONG, and XUMING HE. "ASYMPTOTIC DISTRIBUTIONS OF THE MAXIMAL DEPTH ESTIMATORS FOR REGRESSION AND MULITVARIATE LOCATION." In Proceedings of the Conference in Honor of Professor Zhidong Bai on His 65th Birthday. WORLD SCIENTIFIC, 2008. http://dx.doi.org/10.1142/9789812793096_0016.

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Cherneva, Zhivelina, C. Guedes Soares, and Petya Petrova. "Distribution of Wave Height Maxima in Storm Sea States." In ASME 2008 27th International Conference on Offshore Mechanics and Arctic Engineering. ASMEDC, 2008. http://dx.doi.org/10.1115/omae2008-58038.

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The effect of the coefficient of kurtosis as a measure of the nonlinearity of third order on the distribution of the wave height maxima has been investigated. Measurements of the surface elevation during a storm at the North Alwyn platform in the North Sea have been used. The mean number of waves in the series is around 100. The maximum wave statistics have been compared with nonlinear theoretical distributions. It was found that the empirical probability densities of the maximum wave heights describe qualitatively the shift of the distribution mode towards higher values. The tendency for the
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Khanoki, Sajad Arabnejad, and Damiano Pasini. "Multiscale Design and Multiobjective Optimization of Orthopaedic Cellular Hip Implants." In ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2011. http://dx.doi.org/10.1115/detc2011-47487.

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A multiscale design and multiobjective optimization procedure is developed to design a new type of graded cellular hip implant. We assume that the prosthesis design domain is occupied by a unit cell representing the building block of the implant. An optimization strategy seeks the best geometric parameters of the unit cell to minimize bone resorption and interface failure, two conflicting objective functions. Using the asymptotic homogenization method, the microstructure of the implant is replaced by a homogeneous medium with an effective constitutive tensor. This tensor is used to construct t
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Zhao Chenhao, Song Xiangdong, and Zhang Huijuan. "An asymptotic distribution of a specific beta distribution." In International Conference on Automatic Control and Artificial Intelligence (ACAI 2012). Institution of Engineering and Technology, 2012. http://dx.doi.org/10.1049/cp.2012.0998.

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Reports on the topic "Asymptotic distribution of maxima"

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Simpson, Douglas G., Raymond J. Carroll, and David Ruppert. M-Estimation for Discrete Data: Asymptotic Distribution Theory and Implications. Defense Technical Information Center, 1985. http://dx.doi.org/10.21236/ada168532.

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Simpson, Douglas G., Raymond J. Carroll, and David Ruppert. M-Estimation for Discrete Data. Asymptotic Distribution Theory and Implications. Defense Technical Information Center, 1985. http://dx.doi.org/10.21236/ada162779.

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Gupta, Shanti S., and Friedrich Liese. Asymptotic Distribution of the Random Regret Risk for Selecting Exponential Populations. Defense Technical Information Center, 1998. http://dx.doi.org/10.21236/ada358189.

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Babu, C. J., and C. R. Rao. Joint Asymptotic Distribution of Marginal Quantiles and Quantile Functions in Samples from a Multivariate Population. Defense Technical Information Center, 1987. http://dx.doi.org/10.21236/ada193385.

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Fang, C., and P. R. Krishnaiah. On Asymptotic Distribution of the Test Statistic for the Mean of the Non-Isotropic Principal Component. Defense Technical Information Center, 1985. http://dx.doi.org/10.21236/ada158255.

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Chernoff, Herman, and Eric Lander. Asymptotic Distribution of the Likelihood Ratio Test That a Mixture of Two Binomials is a Single Binomial. Defense Technical Information Center, 1991. http://dx.doi.org/10.21236/ada236714.

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