Performability: asymptotic distribution and moment computation

Asymptotic Behavior of Moment Sequences

In this paper we study asymptotic behavior of some moment spaces. We consider two different settings. In the first one, we work with ordinary multi-dimensional moments on the standard m-simplex. In the second one, we deal with the trigonometric moments on the unit circle of the complex plane. We state large and moderate deviation principles for uniformly distributed moments. In both cases the r...

Second Order Moment Asymptotic Expansions for a Randomly Stopped and Standardized Sum

This paper establishes the first four moment expansions to the order o(a^−1) of S_{t_{a}}^{prime }/sqrt{t_{a}}, where S_{n}^{prime }=sum_{i=1}^{n}Y_{i} is a simple random walk with E(Yi) = 0, and ta is a stopping time given by t_{a}=inf left{ ngeq 1:n+S_{n}+zeta _{n}>aright}‎ where S_{n}=sum_{i=1}^{n}X_{i} is another simple random walk with E(Xi) = 0, and {zeta _{n},ngeq 1} is a sequence of ran...

Asymptotic Distribution of Divergence Measure with Applications

Asymptotic Analysis and Computation for Shells

Several examples are discussed of asymptotic results illustrating key features of thin shell behavior and possibly extending the benchmark problems for verification of direct numerical procedures. The basic nature of shell solutions for static loading usually can be categorized as membrane, inextensional, and edge effect. With different boundary conditions or geometry, different solution types ...

Asymptotic Unbounded Root Loci - . Formulas and Computation

: George N. Saridis (h4’62-SM72-F‘78) was born I in Athens, Greece. He received the diploma in mechanical and electrical engineering from the National Techca l University of Athens, Athens. Greece, in 1955, and the M.S.E.E. and Ph.D. degrees from Purdue University. West Lafayette, IN. in 1962. and 1965. respectively. From 1955 to 1961 he was an Instructor in the Department of Mechanical and Ele...