Analytic Variations on the Airy Distribution
نویسندگان
چکیده
منابع مشابه
Analytic Variations on the Common Subexpression Problem
Any tree can be represented in a max/ma//y compact form as a directed acyclic graph where common subtrees are factored and shared, being represented only once. Such a compaction can be effected in linear time. It is used to save storage in implementations of functional programming languages, as well as in symbolic manipulation and computer a/gebra systems. In compiling, the compaction problem i...
متن کاملAnalytic Variations on Redundancy Rates of Renewal Processes Analytic Variations on Redundancy Rates of Renewal Processes Analytic Variations on Redundancy Rates of Renewal Processes
Csisz ar and Shields have recently proved that the minimax redundancy for a class of renewal processes is ( p n) where n is the block length. This interesting result provides a rst non-trivial bound on redundancy for a non-parametric family of processes. The present paper provides a precise estimate up to the constant term of the redundancy rate for such sources. The asymptotic expansion is der...
متن کاملAn analytic study on the Euler-Lagrange equation arising in calculus of variations
The Euler-Lagrange equation plays an important role in the minimization problems of the calculus of variations. This paper employs the differential transformation method (DTM) for finding the solution of the Euler-Lagrange equation which arise from problems of calculus of variations. DTM provides an analytical solution in the form of an infinite power series with easily computable components. S...
متن کاملAiry Phenomena and Analytic Combinatorics of Connected Graphs
Until now, the enumeration of connected graphs has been dealt with by probabilistic methods, by special combinatorial decompositions or by somewhat indirect formal series manipulations. We show here that it is possible to make analytic sense of the divergent series that expresses the generating function of connected graphs. As a consequence, it becomes possible to derive analytically known enum...
متن کاملAnalytic variations on redundancy rates of renewal processes
Csiszár and Shields have proved that the minimax redundancy for a class of (stationary) renewal processes is ( ) where is the block length. This interesting result provides a nontrivial bound on redundancy for a nonparametric family of processes. The present paper gives a precise estimate of the redundancy rate for such (nonstationary) renewal sources, namely,
متن کاملذخیره 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: Algorithmica
سال: 2001
ISSN: 0178-4617,1432-0541
DOI: 10.1007/s00453-001-0056-0