This paper provides a practical description of density estimation based on kernel methods. An important aim is to encourage practicing statisticians to apply these methods to data. As such, reference is made to implementations of these methods in R, S-PLUS and SAS.

We deal with a recently proposed method of Chubanov [1], for solving linear homogeneous systems with positive variables. We use Nesterov's excessive gap method in the basic procedure. As a result, the iteration bound for the basic procedure is reduced by the factor $nsqrt{n}$. The price for this improvement is that the iterations are more costly, namely $O(n^2 )$ instead of $O(n)$. The overall ...

The first method we shall study for solving differential equations is called Euler's method, it serves to illustrate the concepts involved in the advanced methods. It has limited use because of the larger error that is accumulated with each successive step. However, it is important to study Euler's method because the remainder term and error analysis is easier to understand. Theorem (Euler's Me...

Abstract: This survey article discusses the main concepts and techniques of Stein’s method for distributional approximation by the normal, Poisson, exponential, and geometric distributions, and also its relation to concentration of measure inequalities. The material is presented at a level accessible to beginning graduate students studying probability with the main emphasis on the themes that a...

Assouad’s method provides a somewhat different technique for proving lower bounds. Instead of reducing the estimation problem to a multiple hypothesis test or simpler estimation problem, as with Le Cam’s method and Fano’s method from the preceding lectures, here we transform the original estimation problem into multiple binary hypothesis testing problems, using the structure of the problem in a...

Introduction. Whitham's averaged equations [1] for a nonlinear evolution system describe slow modulations of parameters on a family of periodic traveling wave solutions (or on families of multiphase quasiperiodic solutions, which are so far knows to exist only for integrable equations) and are a system of hydrodynamic type [2, 3], that is, of the form

You have accessJournal of UrologyUrodynamics/Lower Urinary Tract Dysfunction/Female Pelvic Medicine: Basic Research & Pathophysiology (PD27)1 Sep 2021PD27-05 BENCHTOP BLADDER PHANTOM PRESSURE ESTIMATION USING ULTRASOUND CONTRAST AGENTS Kourosh Kalayeh, J. Brian Fowlkes, Jake Claflin, Mario L. Fabiilli, William W. Schultz, and Bryan S. Sack KalayehKourosh Kalayeh More articles by this author , F...