Results 41 to 50 of about 4,943,403 (353)
$e$PCA: High dimensional exponential family PCA [PDF]
Many applications, such as photon-limited imaging and genomics, involve large datasets with noisy entries from exponential family distributions. It is of interest to estimate the covariance structure and principal components of the noiseless distribution.
Lydia T. Liu, Edgar Dobriban, A. Singer
semanticscholar +1 more source
Intrinsic Losses Based on Information Geometry and Their Applications
One main interest of information geometry is to study the properties of statistical models that do not depend on the coordinate systems or model parametrization; thus, it may serve as an analytic tool for intrinsic inference in statistics. In this paper,
Yao Rong, Mengjiao Tang, Jie Zhou
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Type II general inverse exponential family of distributions
In this paper, we introduce a new family of distributions based on the T-X transformation, the inverse exponential distribution, the odds function and the Lehmann type II distribution. We investigate its general mathematical properties, including moments,
Farrukh Jamal, C. Chesneau, M. Elgarhy
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One dimensional exponential families on finite sample spaces are studied using the geometry of the simplex Δn°-1 and that of a transformation Vn-1 of its interior.
Paul Vos, Karim Anaya-Izquierdo
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The Exponential T-X Family of Distributions: Properties and an Application to Insurance Data
Heavy-tailed distributions play a prominent role in actuarial and financial sciences. In this paper, we introduce a family of distributions that we refer to as exponential T-X (ETX) family.
Zubair Ahmad +4 more
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On the Admissibility of Estimators of Two Ordered Gamma Scale Parameters under Entropy Loss Function
Suppose that a random sample of size ni is drawn from a gamma distribution with known shape parameter νi > 0 and unknown scale parameter βi > 0, i = 1, 2, satisfying 0 < β1 ≤ β2.
N. Nematollahi , Z. Meghnatisi
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Sharing social network data: differentially private estimation of exponential family random‐graph models [PDF]
Motivated by a real life problem of sharing social network data that contain sensitive personal information, we propose a novel approach to release and analyse synthetic graphs to protect privacy of individual relationships captured by the social network
Vishesh Karwa +2 more
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Approximation of Densities on Riemannian Manifolds
Finding an approximate probability distribution best representing a sample on a measure space is one of the most basic operations in statistics. Many procedures were designed for that purpose when the underlying space is a finite dimensional Euclidean ...
Alice le Brigant, Stéphane Puechmorel
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A novel family of lifetime distribution with applications to real and simulated data
The paper investigates a new scheme for generating lifetime probability distributions. The scheme is called Exponential- H family of distribution. The paper presents an application of this family by using the Weibull distribution, the new distribution is
Muhammad Ijaz +3 more
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Extended q-Gaussian and q-exponential distributions from Gamma random variables [PDF]
The family of q-Gaussian and q-exponential probability densities fit the statistical behavior of diverse complex self-similar non-equilibrium systems. These distributions, independently of the underlying dynamics, can rigorously be obtained by maximizing
Budini, Adrian A.
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