Read e-book online Advances on models, characterizations, and applications PDF

By N. Balakrishnan, I. G. Bairamov, O. L. Gebizlioglu

ISBN-10: 082474022X

ISBN-13: 9780824740221

Statistical distributions are probably the most very important utilized mathematical instruments throughout a large spectrum of disciplines, together with engineering, organic sciences, and well-being and social sciences. because they're used to version saw info and finally to improve inferential techniques, realizing the houses of statistical distributions is necessary to constructing optimum inferential equipment and validating the ensuing version assumptions. Advances on types, Characterizations and functions bargains updated details on many contemporary advancements within the field.

Comprising fourteen self-contained chapters contributed via across the world popular specialists, this e-book delineates fresh advancements on characterizations and different vital houses of numerous distributions, inferential matters regarding those types, and several other functions of the versions to real-world difficulties. each one bankruptcy is wealthy with references for additional research or extra in-depth details on each one subject and displays paintings provided on the foreign convention on Advances on Characterizations, types, and functions held in Antalya, Turkey in December 2001.

Advances on types, Characterizations and purposes offers an up to date account of vital homes of statistical distributions that displays their deep value and vast program and is a great addition to the literature.

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Zur Vergleichbarkeit ¨ zufalliger Prozesse. Mathematische Nachrichten, 78, 197–205. ¨ Franken, P. and Stoyan, D. (1975). Einige Bemerkungen uber monotone und vergleichbare markowsche Prozesse. Mathematische Nachrichten, 66, 201–209. Fr´echet, M. (1951). Sur le tableaux de corr´elation dont les marges sont donn´ees. Annales de l’Universit´e de Lyon, Section A, 14, 53–77. Hoeffding, W. (1940). Masstabinvariante Korrelationstheorie. Schriften des Mathematischen Instituts und des Instituts fur ¨ Angewandte Mathematik der Universitat ¨ Berlin, 5, 179–233.

2001). Some results on reversed hazard rate. Probability in the Engineering and Information Sciences, 15, 95–102. Kalbfleisch, J. D. and Lawless, J. F. (1989). cls 18 DK2383˙C001 March 9, 2005 12:8 Sibuya AIDS. Journal of the American Statistical Association, 84–406, 360–372. Keilson, J. and Sumita, U. (1982). Uniform stochastic ordering and related inequalities. Canadian Journal of Statistics, 10, 181–198. Lagakos, S. , Barraj, L. M. and Gruttola, V. De. (1988). Nonparametric analysis of truncated survival data, with application to AIDS.

In the case F 1 = · · · = F n, Lai and Robbins (1976) proved the extremely interesting result that the maximally dependent case is close to the independent case in the following asymptotic sense under the usual domain of attraction conditions for maxima (∼ denote here asymptotic equivalence). 6) where X ⊥ is an iid sequence with d f F and an = F −1 (1 − 1n ) is the usual normalization for the maximum law. , to get sharp bounds for the concentration probabilities or to get sharp multivariate Fr´echet-bounds [see Ru (2004)].

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Advances on models, characterizations, and applications by N. Balakrishnan, I. G. Bairamov, O. L. Gebizlioglu


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