The first section gives the measure of uncertainty given by Shannon (1948) and the generalizations thereof by Schvitzenberger (1954), Kullback (1959), Renyi (1961,1965), Kapur (1967, 1968), and Rathie (1970). It gives some postulates characterizing Shannon's entropy, Renyi's entropy of order a and our entropy of order a and type P. It also gives some properties of this most general type of entr...

The material covered in this thesis falls mainly in two parts. In the first part, which is found in chapter II, the foundations of source coding are considered. A careful introduction to the notion of codes for symbols, blocks and infinite sequences is given. The classical notion of a stationary ergodic source is then introduced as a natural concept arising when assuming limiting statistical co...

In this paper the ill-posedness of Shannons sampling theorem is discussed and a regularized sampling algorithm for band-limited signals is presented. The convergence of the regularized sampling algorithm is studied and compared with Shannons sampling theorem by some examples. Diestel, Geoff, University of South Carolina Title: Maximal Bilinear Singular Integral Operators Associated with Planar ...

business cost is acknowledged as one of the priorities in smes research. in thisstudy, the business cost of smes in shanghai was primarily measured using factor-entropy analysis method. the purpose of this study is to effectively resolve the issueof simplification and assignment evaluation index system on business costs of smesin shanghai. however, this study uses factor analysis to interpret t...