exponential families
Hybrids of Exponential Families and Summation integral Type Operators
... 1.Introduction We first define the following two auxiliary exponential families: the B-family, and the H-family.Using the families, we define the main object of the paper, namely the Phi[r] ...
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COSSO-type penalized likelihood method for simultaneous nonparametric regression and model selection in exponential Families
... nent norms, whereas the penalty functional in the common smoothing spline is the sum of squared component norms. This difference between the COSSO and the smoothing spline is similar to that between the LASSO and the ...
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Geometric Theory of Heat from Souriau Lie Groups Thermodynamics and Koszul Hessian Geometry: Applications in Information Geometry for Exponential Families
... Abstract: We introduce the Symplectic Structure of Information Geometry based on Souriau’s Lie Group Thermodynamics model, with a covariant definition of Gibbs equilibrium via invariances through co-adjoint action of a ...
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Inference for Eigenvalues and Eigenvectors in Exponential Families of Random Symmetric Matrices.
... an exponential family, which includes many common dis- tributions such as matrix-variate Gaussian, exponential, matrix gamma, and Wishart distribution (Fisher, 1934; Pitman, 1936; Koopman, ...1936). ...
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Instability and change detection in exponential families and generalized linear models, with a study of Atlantic tropical storms
... In order to generalize the scope of statistical change detec- tion tools, in this paper we propose a variant of the sequential industrial monitoring framework, by considering the stability of the data generation process ...
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Density Estimation in Infinite Dimensional Exponential Families
... being the cumulant generating function, and ( H , h·, ·i H ) a reproducing kernel Hilbert space (RKHS) (Aronszajn, 1950) with k as its reproducing kernel. While various generalizations are possible for different choices ...
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Clustering with Bregman Divergences
... regular exponential families and a large class of Bregman divergences, that we call regular Bregman ...of exponential family distributions, and leads to a simple soft clustering algorithm for regular ...
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Parameter Uncertainty in Exponential Family Tail Estimation
... Actuaries are often faced with the task of estimating tails of loss distributions from just a few observations. Thus estimates of tail prob- abilities (reinsurance prices) and percentiles (solvency capital require- ...
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An introduction to differential geometry in econometrics
... There is a very strong relationship between geometry and parameterisation. In particular it is important in a geometrically based theory to distinguish between those properties of the model which are dependent on a ...
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Guaranteed Bounds on Information-Theoretic Measures of Univariate Mixtures Using Piecewise Log-Sum-Exp Inequalities
... for exponential families [5]), it was proven that the Kullback-Leibler divergence between two (univariate) GMMs is not analytic [6] (the particular case of mixed-Gaussian of two components with same ...
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Graphing formulas: unraveling experts’ recognition processes
... function families, used prototypes to handle other exemplars of function families, and used prototypes and attributes to link graphs and formulas of function ...function families into well-connected ...
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A Kallman-Rota Inequality for Evolution Semigroups
... [7] Nguyen Van Minh, Frank R¨ abiger and Roland Schnaubelt, Exponential stability, exponential expansiveness, and exponential dichotomy of evolution equations on the half-line, Integral [r] ...
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Integral Characterizations for Exponential Stability of Semigroups and Evolution Families on Banach Spaces
... Proof. Seemingly we could proceed as in the proof of Corollary 1, but, however, we cannot directly apply the Uniform Boundedness Theorem. First we prove that the semigroup T is uniformly bounded. In fact, this has been ...
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THE JOINT DISTRIBUTION OF BIVARIATE EXPONENTIAL UNDER LINEARLY RELATED MODEL
... the exponential class of distributions because of its importance in the ...the exponential case as mixture of a point mass at zero and an exponential with hazard rate i ...
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Generalized Exponential-Cum-Exponential Estimator in Adaptive Cluster Sampling
... The exponential estimators for two auxiliary variables are efficient as compared to other ...The exponential ratio-cum-ratio estimator t 14 gave maximum percentage relative efficiency which increases with ...
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Exponential Stability and Bounded Convolutions
... Schnaubelt, Exponential stability, exponential expansiveness and exponential dichotomy of evolution equa- tions on the half line, Integral Equations Operator Theory, 32 (1998), 332-353..[r] ...
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Stability of Exponential Euler Method for Linear Stochastic Delay Differential Equations
... Stochastic modeling has come to play an important role in many branches of science and industry. Such models have been used with great success in a variety of application areas, including biology, epidemiology, ...
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Numerical Solutions of a System of ODEs Based on Lie Trotter and Strang Operator splitting Methods
... Strang splitting as second order splitting method for Cauchy problem and compare the results between the two methods. We will use Matlab to out carry the numerical simulations. The rest of this paper is organized as ...
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Vol 2017
... exponentiated exponential geometric (CEEG), complementary Weibull geometric (CWG), complementary Poisson-Lindley (CPL), comple- mentary exponentiated Inverted Weibull Power Series (CEIWPS), Complementary Burr III ...
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SERIES REPRESENTATION OF POWER FUNCTION
... Power function, Binomial coefficient, Binomial Theorem, Finite difference, Perfect cube, Exponential function, Pascal’s triangle, Series repre- sentation, Binomial Sum, Multinomial theor[r] ...
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