000 01579nam a22001697a 4500
008 221028b2019 |||||||| |||| 00| 0 eng d
020 _a9781108701112
082 _a519.5 SUN-R
100 _aSundberg, Rolf
245 _aStatistical modelling by exponential families /
_cRolf Sundberg
260 _aUnited Kingdom
_bCambridge University Press
_c2019
300 _a282 p.
365 _aGBP
_b29.99.
500 _aThis book is a readable, digestible introduction to exponential families, encompassing statistical models based on the most useful distributions in statistical theory, including the normal, gamma, binomial, Poisson, and negative binomial. Strongly motivated by applications, it presents the essential theory and then demonstrates the theory's practical potential by connecting it with developments in areas like item response analysis, social network models, conditional independence and latent variable structures, and point process models. Extensions to incomplete data models and generalized linear models are also included. In addition, the author gives a concise account of the philosophy of Per Martin-Löf in order to connect statistical modelling with ideas in statistical physics, including Boltzmann's law. Written for graduate students and researchers with a background in basic statistical inference, the book includes a vast set of examples demonstrating models for applications and exercises embedded within the text as well as at the ends of chapters.
650 _aDistribution (Probability theory)
650 _aExponential families (Statistics)
999 _c83231
_d83231