Lecture Notes on Donsker’s Theorem

Empirical Processes : Notes 1

See, for example, Billingsley (Prob. & Measure) for a proof. Donsker’s theorem deals with the convergence, in distribution, of the empirical process. In what follows I will assume the basic concepts of convergence in distribution for stochastic processes assuming values in a metric space. Billingsley’s book on weak convergence (especially the 2nd edition) is an excellent reference (in particula...

Factors affecting students tendency of Univercity students to Lecture Notes

Introduction: Many studies detected factors contributing to the students’ tendency to lecture notes. This study aimed at evaluating the factors affecting students tendency to lecture notes in Hormozgan University of Medical Sciences. Methods: In this descriptive study, 179 students from medicine, nursing & midwifery, health, and Paramedicine schools were selected through stratified random...

Lecture Notes on Linear Codes Defined over Finite Modules: the Extension Theorem and the Macwilliams Identities — for Use of Cimpa-unesco-tübitak Summer

These lecture notes discuss the extension problem and the MacWilliams identities for linear codes defined over finite modules.

Analytic and Combinatorial Number

These are lecture notes for the summer semester 2008 of the course Analytic and combinatorial number theory (NDMI045, Analytická a kombinatorická teoriě císel) which I have been teaching on the Faculty of Mathematics and Physics of the Charles University in Prague. The first booklet (the second one, [25], is for summer semester 2010) covers four major theorems, three on the distribution of prim...

Wiener measure and Donsker’s theorem