000 02380nam a2200361 i 4500
001 CR9781108773157
003 UkCbUP
005 20240909174854.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 190410s2023||||enk o ||1 0|eng|d
020 _a9781108773157 (ebook)
020 _z9781108488907 (hardback)
020 _z9781108715669 (paperback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 4 _aQA276.7
_b.E47 2023
082 0 4 _a519.5
_223
100 1 _aEfron, Bradley,
_eauthor.
245 1 0 _aExponential families in theory and practice /
_cBradley Efron.
264 1 _aCambridge :
_bCambridge University Press,
_c2023.
300 _a1 online resource (xii, 250 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aInstitute of Mathematical Statistics textbooks ;
_v16
500 _aTitle from publisher's bibliographic system (viewed on 23 Nov 2022).
520 _aDuring the past half-century, exponential families have attained a position at the center of parametric statistical inference. Theoretical advances have been matched, and more than matched, in the world of applications, where logistic regression by itself has become the go-to methodology in medical statistics, computer-based prediction algorithms, and the social sciences. This book is based on a one-semester graduate course for first year Ph.D. and advanced master's students. After presenting the basic structure of univariate and multivariate exponential families, their application to generalized linear models including logistic and Poisson regression is described in detail, emphasizing geometrical ideas, computational practice, and the analogy with ordinary linear regression. Connections are made with a variety of current statistical methodologies: missing data, survival analysis and proportional hazards, false discovery rates, bootstrapping, and empirical Bayes analysis. The book connects exponential family theory with its applications in a way that doesn't require advanced mathematical preparation.
650 0 _aExponential families (Statistics)
776 0 8 _iPrint version:
_z9781108488907
830 0 _aInstitute of Mathematical Statistics textbooks ;
_v16.
856 4 0 _uhttps://doi.org/10.1017/9781108773157
942 _2ddc
_cEB
999 _c9114
_d9114