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001 978-0-387-68477-2
003 DE-He213
005 20161121231150.0
007 cr nn 008mamaa
008 100301s2007 xxu| s |||| 0|eng d
020 _a9780387684772
_9978-0-387-68477-2
024 7 _a10.1007/978-0-387-68477-2
_2doi
050 4 _aTA169.7
050 4 _aT55-T55.3
050 4 _aTA403.6
072 7 _aTGPR
_2bicssc
072 7 _aTEC032000
_2bisacsh
082 0 4 _a658.56
_223
100 1 _aMarshall, Albert W.
_eauthor.
245 1 0 _aLife Distributions
_h[electronic resource] :
_bStructure of Nonparametric, Semiparametric, and Parametric Families /
_cby Albert W. Marshall, Ingram Olkin.
264 1 _aNew York, NY :
_bSpringer New York,
_c2007.
300 _aXX, 788 p. 138 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aSpringer Series in Statistics,
_x0172-7397
505 0 _aBasics -- Preliminaries -- Ordering Distributions: Descriptive Statistics -- Mixtures -- Nonparametric Families -- Nonparametric Families: Densities and Hazard Rates -- Nonparametric Families: Origins in Reliability Theory -- Nonparametric Families: Inequalities for Moments and Survival Functions -- Semiparametric Families -- Semiparametric Families -- Parametric Families -- The Exponential Distribution -- Parametric Extensions of the Exponential Distribution -- Gompertz and Gompertz-Makeham Distributions -- The Pareto and F Distributions and Their Parametric Extensions -- Logarithmic Distributions -- The Inverse Gaussian Distribution -- Distributions with Bounded Support -- Additional Parametric Families -- Models Involving Several Variables -- Covariate Models -- Several Types of Failure: Competing Risks -- More About Semi-parametric Families -- Characterizations Through Coincidences of Semiparametric Families -- More About Semiparametric Families -- Complementary Topics -- Some Topics from Probability Theory -- Convexity and Total Positivity -- Some Functional Equations -- Gamma and Beta Functions -- Some Topics from Analysis.
520 _aFor over 200 years, practitioners have been developing parametric families of probability distributions for data analysis. More recently, an active development of nonparametric and semiparametric families has occurred. This book includes an extensive discussion of a wide variety of distribution families—nonparametric, semiparametric and parametric—some well known and some not. An all-encompassing view is taken for the purpose of identifying relationships, origins and structures of the various families. A unified methodological approach for the introduction of parameters into families is developed, and the properties that the parameters imbue a distribution are clarified. These results provide essential tools for intelligent choice of models for data analysis. Many of the results given are new and have not previously appeared in print. This book provides a comprehensive reference for anyone working with nonnegative data. Albert W. Marshall, Professor Emeritus of Statistics at the University of British Colombia, previously served on the faculty of the University of Rochester and on the staff of the Boeing Scientific Research Laboratories. His fundamental contributions to reliability theory have had a profound effect in furthering its development. Ingram Olkin is Professor Emeritus of Statistics and Education at Stanford University, after having served on the faculties of Michigan State University and the University of Minnesota. He has made significant contributions in multivariate analysis and in the development of statistical methods in meta-analysis, which has resulted in its use in many applications. Professors Marshall and Olkin, coauthors of papers on inequalities, multivariate distributions, and matrix analysis, are about to celebrate 50 years of collaborations. Their basic book on majorization has promoted awareness of the subject, and led to new applications in such fields as economics, combinatorics, statistics, probability, matrix theory, chemistry, and political science. .
650 0 _aEngineering.
650 0 _aStatistics.
650 0 _aQuality control.
650 0 _aReliability.
650 0 _aIndustrial safety.
650 1 4 _aEngineering.
650 2 4 _aQuality Control, Reliability, Safety and Risk.
650 2 4 _aStatistical Theory and Methods.
700 1 _aOlkin, Ingram.
_eauthor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9780387203331
830 0 _aSpringer Series in Statistics,
_x0172-7397
856 4 0 _uhttp://dx.doi.org/10.1007/978-0-387-68477-2
912 _aZDB-2-ENG
950 _aEngineering (Springer-11647)
999 _c509521
_d509521