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...

POPULATION estimates, while often arbitrary, merit close attention. While the estimates, often amounting to mere guess-work, reflect belief in what was happening in economic society, once formed they are frequently employed to give hard edges to economic and social phenomena described by historians. They are by no means independent data which may corroborate conclusions arrived at from other so...

We construct an index theorem for smooth infinite economies that shows that generically the number of equilibria is odd. As a corollary, this gives a new proof of existence and gives conditions that guarantee global uniqueness of equilibria.

We present a simple proof of existence of subgame perfect equilibria in games with perfect information.

Let X1;X2;...;Xn have a jointly multivariate exchangeable normal distribution. In this work we investigate another proof of the independence of X and S2 using order statistics. We also assume that (Xi ; Yi); i =1; 2;...; n; jointly distributed in bivariate normal and establish the independence of the mean and the variance of concomitants of order statistics.

background: in recent years, the accreditation of nursing education in iran, especially in clinical field has been felt acutely. yet there are not compiled standards at the same time. accordingly, the researchers in this study tried to develop the national accreditation standards for clinical nursing education derived from international standards. methods: this research is a triangulation study...

Despite decades of research aiming to ameliorate the difficulties of creating software, programming still remains an error-prone task. Much work in Computer Science deals with the problem of specification, or writing the right program, rather than the complementary problem of implementation, or writing the program right. However, many desirable software properties (such as portability) are obta...

Proof-of-Stake (PoS) protocols have been actively researched for the past five years. PoS finds direct applicability in open blockchain platforms and has been seen as a strong candidate to replace the largely inefficient Proof of Work mechanism that is currently plugged in most existing open blockchains. Although a number of PoS variants have been proposed, these protocols suffer from a number ...