Results 21 to 30 of about 175,776 (260)
Entropy, 2017 Information geometry enables a deeper understanding of the methods of statistical inference. In this paper, the problem of nonlinear parameter estimation is considered from a geometric viewpoint using a natural gradient descent on statistical manifolds ...
Yongqiang Cheng, Xuezhi Wang, Bill Moran
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Large Ankyrin repeat proteins are formed with similar and energetically favorable units.
PLoS ONE, 2020 Ankyrin containing proteins are one of the most abundant repeat protein families present in all extant organisms. They are made with tandem copies of similar amino acid stretches that fold into elongated architectures.
Ezequiel A Galpern +2 more
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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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Jurnal Ilmu Dasar, 2018 Statistical modeling (regression analyses) have been growing rapidly into various directions to accommodate various data conditions. For longitudinal or repeated measures data, one of the suitable models is GEE (Generalized Estimating Equation).
Made Tirta, Dian Anggraeni
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Associated Natural Exponential Families and Elliptic Functions [PDF]
, 2015 This paper studies the variance functions of the natural exponential families (NEF) on the real line of the form \((Am^4+Bm^2+C)^{1/2}\) where m denoting the mean. Surprisingly enough, most of them are discrete families concentrated on \(\lambda \mathbb {Z}\) for some constant \(\lambda \) and the Laplace transform of their elements are expressed by ...
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Increasing Hazard Rate of Mixtures for Natural Exponential Families [PDF]
Advances in Applied Probability, 2012 Hazard rates play an important role in various areas, e.g. reliability theory, survival analysis, biostatistics, queueing theory, and actuarial studies. Mixtures of distributions are also of great preeminence in such areas as most populations of components are indeed heterogeneous.
Bar-Lev, Shaul K., Letac, Gérard
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Boundedness of Variance Functions of Natural Exponential Families with Unbounded Support
MathematicsThe variance function (VF) is central to natural exponential family (NEF) theory. Prompted by an online query about whether, beyond the classical normal NEF, other real-line NEFs with bounded VFs exist, we establish three complementary sets of sufficient
Shaul K. Bar-Lev
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Three Occurrences of the Hyperbolic-Secant Distribution
, 2014 Although it is the generator distribution of the sixth natural exponential family with quadratic variance function, the Hyperbolic-Secant distribution is much less known than other distributions in the exponential families. Its lack of familiarity is due
Ding, Peng
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Absorption Time of the Moran Process [PDF]
, 2014 The Moran process models the spread of mutations in populations on graphs. We investigate the absorption time of the process, which is the time taken for a mutation introduced at a randomly chosen vertex to either spread to the whole population, or to ...
Diaz, Josep +3 more
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Natural Exponential Families: Resolution of A Conjecture and Existence of Reduction Functions
, 2016 One-parameter natural exponential family (NEF) plays fundamental roles in probability and statistics. This article contains two independent results: (a) A conjecture of Bar-Lev, Bshouty and Enis states that a polynomial with a simple root at $0$ and a ...
Chen, Xiongzhi
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