Results 31 to 40 of about 86,511 (262)
Advances in Nonlinear Analysis, 2020 It is well known that C2-transformation φ of the unit interval into itself with a Markov partition (2.1) π = {Ik : k ∈ K} admits φ-invariant density g (g ≥ 0, ∥g∥ = 1) if: (2.2) ∣(φn)′∣ ≥ C1 > 1 for some n (expanding condition); (2.3) ∣φ″(x)/(φ′(y))2 ...
Bugiel Peter +2 more
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The Annals of Probability, 1973 Let $\mu$ be a probability measure on $(\mathscr{R}, \mathscr{B})$, where $\mathscr{R}$ is the real line and $\mathscr{B}$ the family of Borel sets on $\mathscr{R}$. A measurable set `$A$' is called $\mu$-invariant if $\mu(A + \theta) = \mu(A) \mathbf{\forall} \theta, -\infty < \theta < \infty$.
Blum, Julius R., Pathak, Pramod K.
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Vitali’s theorem for invariant measures [PDF]
Transactions of the American Mathematical Society, 1961 Csn, lim.,0 XkSn=0, and XkUU,/XkSn_oa. (Xk denotes Lebesgue measure in the space X = Rk. The number a is called a parameter of regularity at x.) The invariance under translation of the set-function Xk suggests the point of view adopted in the present generalization of Vitali's theorem.
Comfort, W. W., Gordon, Hugh
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The Measurement Invariance of Schizotypy in Europe [PDF]
European Psychiatry, 2015 AbstractThe short version of the Oxford-Liverpool Inventory of Feelings and Experiences (sO-LIFE) is a widely used measure assessing schizotypy. There is limited information, however, on how sO-LIFE scores compare across different countries. The main goal of the present study is to test the measurement invariance of the sO-LIFE scores in a large sample
Fonseca-Pedrero E +7 more
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On Relatively Invariant Measures [PDF]
Canadian Journal of Mathematics, 1960 In this note we will discuss the question of the measurability of the multiplier function of a relatively invariant measure on a group. That is, for a group G, σ-ring S, and a measure μ defined on the sets of S, we assume: E in S, x in G implies xE is in S and μ(XE) = σ(x)μ(E) and study the measurability of the function σ(x).The problem was discussed ...
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A note on the support of right invariant measures
International Journal of Mathematics and Mathematical Sciences, 1992 A regular measure μ on a locally compact topological semigroup is called right invariant if μ(Kx)=μ(K) for every compact K and x in its support. It is shown that this condition implies a property reminiscent of the right cancellation law. This is used to
N. A. Tserpes
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Solving the 4NLS with white noise initial data
Forum of Mathematics, Sigma, 2020 We construct global-in-time singular dynamics for the (renormalized) cubic fourth-order nonlinear Schrödinger equation on the circle, having the white noise measure as an invariant measure.
Tadahiro Oh +2 more
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Measurement Invariance, Entropy, and Probability [PDF]
Entropy, 2010 We show that the natural scaling of measurement for a particular problem defines the most likely probability distribution of observations taken from that measurement scale. Our approach extends the method of maximum entropy to use measurement scale as a type of information constraint.
Steven A. Frank, D. Eric Smith
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Bayesian invariant measurements of generalization [PDF]
Neural Processing Letters, 1995 The problem of evaluating different learning rules and other statistical estimators is analysed. A new general theory of statistical inference is developed by combining Bayesian decision theory with information geometry. It is coherent and invariant. For each sample a unique ideal estimate exists and is given by an average over the posterior.
Huaiyu Zhu 0001, Richard Rohwer
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Personalized Zebrafish Models for Fusion‐Positive Pediatric Sarcomas
Pediatric Blood &Cancer, EarlyView.ABSTRACT Clinical sequencing efforts have revolutionized our approaches to categorizing pediatric cancers in real time. This has dramatically improved our ability to profile pediatric tumors, identify actionable vulnerabilities, and influence clinical care.
Lisa H. Hall +2 more
wiley +1 more source