exponential family natural parameter space.The natural parameter space of the exponential family dPθ(x)=C(θ)eθ'xdμ(x),θ=(θ1,…,θk)' (1)is a convex set in Rk(see for example ref.[1]),where μ is a σ-finite measure on βk,theσ-field of all Borel sets in Rk.Is the...
The natural exponential families (NEF) play an important role in many fields of statistics. Two sub- classes of NEF have interesting mathematical properties and have therefore been investigated by many re- searchers. These two subfamilies contain the distributions with quadratic variance function (NEF...
We obtain the possible limit distributions of unbiased estimators of functions of the parameter of a natural exponential family. The limit distribution dep... F. LOPEZ-BLAZQUEZ,B. SALAMANCA-MINO - 《Statistics》 被引量: 0发表: 2002年 Les familles exponentielles à variance quadratique homogène...
Mean parameterNatural exponential familyTraceVariance functionIn this article, we introduce the notion of trace variance function which is the trace of the variance-covariance matrix. Under some conditions, we prove that this trace variance function characterizes the Natural Exponential Family (NEF). We...
This parameter for a single degree of freedom is given by ωn=k/m. Increasing the mass reduces ωn, and increasing the spring constant k increases it. From a study of the damped system, the damped natural frequency ωd=ωn1−ζ2 is lower than ωn. View chapterExplore book DISPLAYS ...
the essential actin-like MreB cytoskeleton in Legionella pneumophila Pierre-Alexandre Juan1,2, Laetitia Attaiech1,2 & Xavier Charpentier1,2 Natural transformation is the process by which bacteria can actively take up and integrate exogenous DNA thereby providing a source of genetic diversity. ...
Department of Statistics, Iowa State UniversityJohn Wiley & Sons, LtdScandinavian Journal of StatisticsGhosh, M. and Maiti, T. (2008). Empirical Bayes Confidence Intervals for Means of Natural Exponential Family-Quadratic Variance Function Distributions with Application to Small Area Estimation. ...
The Legionella community structure in saline environments was characterized by relatively low diversity, compared to spring clusters of lower salinity. The community composition in high salinity was characterized by few dominant Legionella genotypes, not related to previously described species. Protozoan ...
These algorithms use a stochastic model to sample from as it happens for Estimation of Distribution Algorithms (EDAs), but the estimation of the model from the population is substituted by the direct update of model parameter through stochastic gradient descent. The two algorithms, SGD and SNDG,...
In the second stage, the subject-specific random coefficients and the natural log of dropout time, ui, are modeled with a joint multivariate normal distribution: bi log(ui) ∼N μ= μb μu , = b σbu σσbu2u Fraily models Frailty models, also called shared parameter models, fac- ...