Results 71 to 80 of about 39,105 (170)

Moments, Exponential Sums, and Monodromy Groups

Forum of Mathematics, Sigma
We determine the geometric monodromy groups attached to various families, both one-parameter and multi-parameter, of exponential sums over finite fields, or, more precisely, the geometric monodromy groups of the $\ell $ -adic local systems on ...
Nicholas M. Katz, Pham Huu Tiep
doaj   +1 more source

Exponential Family Embeddings

, 2018
Word embeddings are a powerful approach for capturing semantic similarity among terms in a vocabulary. Exponential family embeddings extend the idea of word embeddings to other types of high-dimensional data. Exponential family embeddings have three ingredients; embeddings as latent variables, a predefined conditioning set for each observation called
openaire   +2 more sources

A Comparison of MLE for Some Index Distributions Based on Censored Samples

Mathematics
This paper elucidates the prerequisites for maximum likelihood estimation (MLE) of parameters within the exponential and scale parameter families. Estimation of these parameters is predicated on data derived from censored samples and seeks to adhere to ...
Yunhan Liu, Changchun Gao, Xiaofeng Liu, Ping Luo, Jianguo Ren   +4 more
doaj   +1 more source

The Geometry of Exponential Families

The Annals of Statistics, 1978
There are two important spaces connected with every multivariate exponential family, the natural parameter space and the expectation parameter space. We describe some geometric results relating the two. (In the simplest case, that of a normal translation family, the two spaces coincide and the geometry is the familiar Euclidean one.) Maximum likelihood
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Sufficient Statistics and Exponential Families

The Annals of Statistics, 1974
Using a locally Lipschitz function $T$ of $n > 1$ variables one can reduce data consisting of a sample of size $n$ to one real number. If we are given a family of probability measures on the real line which are equivalent to Lebesgue measure then $T$ yields a sufficient data reduction only if the given family is exponential.
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A new theorem on exponential stability of periodic evolution families on Banach spaces

Electronic Journal of Differential Equations, 2003
We consider a mild solution $v_f(cdot, 0)$ of a well-posed inhomogeneous Cauchy problem $dot v(t)=A(t)v(t)+f(t)$, $v(0)=0$ on a complex Banach space $X$, where $A(cdot)$ is a 1-periodic operator-valued function. We prove that if $v_f(cdot, 0)$ belongs to
Constantin Buse, Oprea Jitianu
doaj  

An optimal estimation approach in non-response under simple random sampling utilizing dual auxiliary variable for finite distribution function

Heliyon
Auxiliary data needs to be incorporated into survey sampling in order to create a precise population parameter estimator. This study investigates improving the efficiency of these estimators, the researchers use study variable [cumulative distribution ...
Muhammad Junaid, Sadaf Manzoor, Sardar Hussain, M.E. Bakr, Oluwafemi Samson Balogun, Shahab Rasheed   +5 more
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A Novel Exponentiated Generalized Weibull Exponential Distribution: Properties, Estimation, and Regression Model

Axioms
The exponential distribution is one of the most popular models for fitting lifetime data. This study proposes a novel generalization of the exponential distribution, referred to as the exponentiated generalized Weibull exponential, for the modeling of ...
Hadeel S. Klakattawi
doaj   +1 more source

Designing dose finding studies with an active control for exponential families. [PDF]

Biometrika, 2015
Dette H, Kettelhake K, Bretz F.
europepmc   +1 more source

A Novel Simulation Method for Binary Discrete Exponential Families, with Application to Social Networks. [PDF]

J Math Sociol, 2015
Butts CT.
europepmc   +1 more source