6 Hermann, R., "A Poisson kernel for certain homogeneous spaces," Proc. Am. Math. Soc., 12, 892-899 (1961). 7Segal, I. E., "A class of operator algebras determined by groups," Duke Math. J., 18, 221-265 (1951). 8 Inonu, E., and E. Wigner, "On the contraction of Lie groups and their representations," these PROCEEDINGS, 39, 510-524 (1953). 9 Saletan, E., "Contraction of Lie groups," J. Math. Phys...

‎In this paper‎, ‎we  consider the problem of  estimating E(Y) based on a simple random sample when at least one of the population quantiles is known‎. ‎We propose a stratified estimator of  E(Y)‎, ‎and show that it is strongly consistent‎. ‎We then establish the asymptotic normality of the suggested estimator‎, ‎and prove that it ...

jachymski [ proc. amer. math. soc., 136 (2008), 1359-1373] gave modified version of a banach fixed point theorem on a metric space endowed with a graph. in the present paper, (g, φ)-graphic contractions have been de ned by using a comparison function and studied the existence of fixed points. also, hardy-rogers g-contraction have been introduced and some fixed point theorems have been proved. s...

In this work we study the performance of asymptotic and approximate consensus algorithms in dynamic networks. The asymptotic consensus problem requires a set of agents to repeatedly set their outputs such that the outputs converge to a common value within the convex hull of initial values. This problem, and the related approximate consensus problem, are fundamental building blocks in distribute...

Interactions of hormones stimulating and inhibiting uterine contraction were studied in vitro in uteri from oophorectomized rats. The beta-adrenergic effector, isoproterenol, a potent inhibitor of contraction, produced a dose-related increase of adenylate cyclase and accumulation of adenosine 3':5'-cyclic monophosphate (cAMP) that was inhibitable by propranolol. Oxytocin, which stimulates contr...

This paper develops a Bayesian computational platform at the interface between posterior sampling and optimization in models whose marginal likelihoods are difficult to evaluate. Inspired by adversarial optimization, namely Generative Adversarial Networks (GAN), we reframe likelihood function estimation problem as classification problem. Pitting Generator, who simulates fake data, against Class...

In this paper, we study Bayesian asymptotic properties of the proportional hazards model where link function is modeled by generalized additive model. As standard is, a useful tool in finding nonlinearity covariate effects to survival times. We develop data-dependent sieve prior for and use bootstrap baseline hazard function. prove that posterior contraction rate minimax optimal up logn term wh...

Loss of (Fisher) information, whose concept was de ned by Fisher, is one of important measures of asymptotic e ciency. Based on Fisher information, this paper studies fourth and fth order asymptotic e ciency of estimators in a curved exponential family of distributions with a structural parameter vector. In particular, we show that the bias-corrected MLE with a certain bias correction factor is...

In the rabbit epicardial coronary artery, 8-tert-butyl-6,7-dihydropyrolo[3,2-e]5-methylpyrazolo [1,5-a]pyrimidine-3-carbonitrile (LP-805, greater than 0.1 microM) hyperpolarized the muscle membrane in both proximal (diameter, 1-1.2 mm) and distal (diameter, 0.1-0.2 mm) regions of intact (+E) tissue, in which endothelium is present, and endothelium-denuded (-E) tissue. LP-805-induced hyperpolari...

We call (T (t))t≥0 an abstract delay semigroup. This notion is introduced in more detail in Section 2. The semigroup thus obtained is rarely a contraction semigroup. In this paper we will show that under very mild conditions, we may change the inner product on E into an equivalent inner product, such that the delay semigroup becomes a (generalized) contraction semigroup. A contraction semigroup...