Results 11 to 20 of about 212,411 (244)
Information Geometry and Asymptotic Theory for SMML Estimators [PDF]
EntropyStrict minimum message length (SMML) is an information-theoretic coding principle that represents a continuous statistical model by a finite set of assertions and a partition of the sample space.
Enes Makalic, Daniel F. Schmidt
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Bayesian approach to cubic natural exponential families [PDF]
Statistics & Probability Letters, 2012 In this paper, we extend to the Letac–Mora class of real cubic natural exponential families the properties and characterization results related to the Bayesian theory established for the Morris class of real quadratic natural exponential families.
A. Hassairi, M. Hamza
semanticscholar +5 more sources
Increasing Hazard Rate of Mixtures for Natural Exponential Families [PDF]
Advances in Applied Probability, 2010 Hazard rates play an important role in various areas, e.g. reliability theory, survival analysis, biostatistics, queueing theory, and actuarial studies.
S. Bar-Lev, G. Letac
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A new variance estimation in natural exponential families
Research in StatisticsThis article focuses on improving the estimation of population variances for natural exponential family distributions, drawing inspiration from the innovative idea presented by Stein.
Arampamoorthy Laheetharan +1 more
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Reproducibility and natural exponential families with power variance functions
The Annals of Statistics, 1986 Let \(X_ 1\),..., \(X_ n\) be independent identically distributed random variables whose common distribution belongs to a family \({\mathcal F}=\{F_{\theta}\in \Theta \subset {\mathbb{R}}\}\) indexed by a parameter \(\theta\). We say that \({\mathcal F}\) is reproducible if there exists a sequence \(\{\) \(\alpha\) (n)\(\}\) such that \[ {\mathcal L ...
S. Bar-Lev, P. Enis
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Nonparametric regression in natural exponential families
, 2010 Theory and methodology for nonparametric regression have been particularly well developed in the case of additive homoscedastic Gaussian noise. Inspired by asymptotic equivalence theory, there have been ongoing efforts in recent years to construct explicit procedures that turn other function estimation problems into a standard nonparametric regression ...
T. Cai, Harrison H. Zhou
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Unifying the Named Natural Exponential Families and Their Relatives
The American Statistician, 2009 Five of the six univariate natural exponential families (NEFs) with quadratic variance functions (QVFs), meaning that their variances are at most quadratic functions of their means, are the Normal, Poisson, Gamma, Binomial, and Negative Binomial distributions.
C. Morris, Kari Lock
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Mathematics, 2023 The paper comprehensively studies the natural exponential family and its associated exponential dispersion model generated by the Landau distribution. These families exhibit probabilistic and statistical properties and are suitable for modeling skewed ...
Shaul K. Bar-Lev
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Flavor non-universal Pati-Salam unification and neutrino masses
Physics Letters B, 2021 We analyze the neutrino mass spectrum and discuss the extra-dimensional interpretation of a three-site Pati-Salam model which i) unifies all families of quark and leptons, ii) provides a natural description of the Standard Model Yukawa couplings, iii ...
Javier Fuentes-Martín +3 more
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Bayes Empirical Bayes Estimation for Natural Exponential Families with Quadratic Variance Functions
Annals of Statistics, 1991 G G Hamedani
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