We study the problem of estimating the mean of a multivariate distribution based on independent samples. The main result is the proof of existence of an estimator with a non-asymptotic sub-Gaussian performance for all distributions satisfying some mild moment assumptions.

This paper gives a proof of existence of price equilibria under certain parameters for a model of product differentiation commonly used in the empirical geographic differentiation literature. This proof is needed because the assumptions of Caplin and Nalebuff (1991) are not generally satisfied once data is introduced to geographic models. The theorem also has implications for existence in mixed...

identifying the chain of transmitters mentioned in the sanads for the verification of the sanad is necessary for employment of ḥadīth. one of the problems observed in the chains of transmission is the repetition of the names applicable to two or more transmitters. on the other hands, some transmitters have been referred to by various names and titles in chains of transmission; various titles th...

regarding sadr-ol-mote'allehin philosophical method, various opinions have been proposed from sadra researchers, each of which monitors a part of sadra’s philosophical method or it has paved a way which is different from sadra’s method and transcendent theosophy orators expositions and it is sometimes converse. his four methodological principles, i.e. purposeful combination of three mystic...

A careful exposition of Zilber’s quasiminimal excellent classes and their categoricity is given, leading to two new results: the Lω1,ω(Q)definability assumption may be dropped, and each class is determined by its model of dimension א0. Boris Zilber developed quasiminimal excellent classes in [Zil05], in order to prove that his conjectural description of complex exponentiation was categorical. T...

We show the properties of the blowup limits of Kähler Ricci flow solutions on Fano surfaces if Riemannian curvature is unbounded. As an application, on every toric Fano surface, we prove that Kähler Ricci flow converges to a Kähler Ricci soliton metric if the initial metric has toric symmetry. Therefore we give a new Ricci flow proof of existence of Kähler Ricci soliton metrics on toric surfaces.

one of the issues raised in the discussion knowledge of god, is the existence of different stage in this regard. despite the unity and simplicity of god and apparent similarity of knowers in existence, however, it is a question that why this plurality exist? mulla sadra, according to his philosophical principles like copulative existing of caused to cause, ontological approach to knowledge and ...