A Note on Linnik’s Distribution
نویسنده
چکیده
We provide a short proof of the validity and unimodality of Linnik’s characteristic function l/(1 + 1 t I”), 0 < a < 2, by noting that it corresponds to the distribution of S,V’/a, where S, is a symmetric stable random variable with parameter OL, and V is an independent exponential random variable. AMS 1980 Subject Classifications: 65C10, 68505.
منابع مشابه
The Distribution of Closed Geodesics on the Modular Surface, and Duke’s Theorem
We give an ergodic theoretic proof of a theorem of Duke about equidistribution of closed geodesics on the modular surface. The proof is closely related to the work of Yu. Linnik and B. Skubenko, who in particular proved this equidistribution under an additional congruence assumption on the discriminant. We give a more conceptual treatment using entropy theory, and show how to use positivity of ...
متن کاملApplication of SVC on Large Synchronous Motors Based on LOC Design (RESEARCH NOTE)
This paper describes the application of static var compensators, (SVC) on an electrical distribution network containing two large synchronous motors, one of which is excited via a three-phase thyristor bridge rectifier. The second machine is excited via a diode bridge rectifier. Based on linear optimization control (LOC), the measurable feedback signals are applied to the control system loops o...
متن کاملReview of the morphology, ecology, and distribution of geckos of the genus Cyrtopodion, with a note on generic placement of Cyrtopodion brachykolon Krysko et. al., 2007
The genus Cyrtopodion is the most widely distributed of the four gekkonid genera of the angular-toed geckos that inhabit Pakistan and the contiguous Palearctic Region (Szczerbak & Golubev 1996), from the Indus Valley to the eastern borders of the Caspian Sea. Longitudinal rows of trihedral tubercles characteristically line the dorsum of these angular-toed geckos. They primarily inhabit arid bad...
متن کاملApplicability of Elastic Analysis for Predicting the Settlement Distribution Around Tunneling in Soft Ground (TECHNICAL NOTE)
In this article a brief review of the literature on the subject is cited. The method of analysis by a finite element program is discussed in which the effect of different influential parameters are examined. The results of these computations are then compared to the corresponding empirical data and two other existing formulae for two dimensional cases. The comparisons show quite reliable and ac...
متن کاملStatic Pressure Distribution in an Excited Jet: Some Observations (RESEARCH NOTE)
A plane subsonic jet was subjected to periodic oscillations in the near nozzle region by a twin vane system. During excitation, the jet was found to spread significantly and entrain mass much more than its steady counterpart. Time averaged static pressure measured in the flow field with a disc probe exhibited prominent well defined suction regions different from that of a steady jet.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 1989