Simple Proofs of some Theorems on Point Processes

نویسندگان

چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Simple Proofs of Some Theorems on Noiseless Channels

Shannon's capacity formula for memoryless and finite-state noiseless channels is proved in a simple elementary way, for arbitrary symbol costs; actually, a somewhat stronger result is proved. Further, a simple proof of a version of the noiseless coding theorem is given, based on the properties of entropy and avoiding combinatorial arguments; also, in the familiar proof of the mentioned theorem,...

متن کامل

Statistical Proofs of Some Matrix Theorems

Books on linear models and multivariate analysis generally include a chapter on matrix algebra, quite rightly so, as matrix results are used in the discussion of statistical methods in these areas. During recent years a number of papers have appeared where statistical results derived without the use of matrix theorems have been used to prove some matrix results which are used to generate other ...

متن کامل

Some Fixed Point Theorems

Introduction. We wish to summarize here some new asymptotic fixed point theorems. By an asymptotic fixed point theorem we mean roughly a theorem in functional analysis in which the existence of fixed points of a map ƒ is proved with the aid of assumptions on the iterates f of ƒ. Such theorems have proved of use in the theory of ordinary and functional differential equations (see [7], [8], [9] a...

متن کامل

On Elkan's theorems: Clarifying their meaning via simple proofs

This article deals with the claims that “a standard version of fuzzy logic collapses mathematically to two-valued logic” made by Charles Elkan in two papers @Proc 11th National Conf on AI, Menlo Park, CA: AAAI Press, 1993, pp 698–703; IEEE Expert 1994;9:3–8#. Although Elkan’s effort to trivialize fuzzy logic has been questioned by numerous authors, our aim is to examine in detail his formal arg...

متن کامل

Simple Proofs of Some Results of Reshetnyak

In this paper we give simpler proofs of the classical continuity and lower semicontinuity theorems of Reshetnyak. 1. Main result In 1968, Reshetnyak [20] proved two important results concerning the continuity and lower semicontinuity of functionals with respect to weak-star convergence of measures. These theorems are used in a variety of areas in the calculus of variations, ranging from problem...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: The Annals of Mathematical Statistics

سال: 1971

ISSN: 0003-4851

DOI: 10.1214/aoms/1177693523