Polya Type Distributions of Convolutions
نویسندگان
چکیده
منابع مشابه
CIRCULAR POLYA DISTRIBUTIONS OF ORDER k
Two circular Polya distributions of order k are derived bymeans of generalized urn models and by compounding, respectively, the type I and type II circular binomial distributions of order k of Makri and Philippou (1994) with the beta distribution. It is noted that the above two distributions include, as special cases, new circular hypergeometric, negative hypergeometric, and discrete uniform di...
متن کاملType Inference for PolyA
We present an automatic type inference algorithm for PolyA, a type system for Mobile Ambients presented in earlier work by us together with Torben Amtoft. We present not only a basic inference algorithm, but also several optimizations to it aimed at reducing the size of the inferred types. The final algorithm has been implemented and verified to work on small examples. We discuss some small pro...
متن کاملConvolutions of long-tailed and subexponential distributions
We study convolutions of long-tailed and subexponential distributions (probability measures), and more general finite measures, on the real line. Our aim is to prove some important new results, and to do so through a simple, coherent and systematic approach. It turns out that all the standard properties of such convolutions are then obtained as easy consequences of these results. Thus we also h...
متن کاملSign Changes in Linear Combinations of Derivatives and Convolutions of Polya Frequency Functions
We obtain upper bounds on the number of sign changes of linear combnatlons of derivatives and convolutions of Plya frequency functions using the variation diminishing properties of totally positive functions. These constitute extensions of earlier results of Karlin and Proschan.
متن کاملMore Aspects of Polya Tree Distributions for Statistical Modelling
The deenition and elementary properties of Polya tree distributions are reviewed. Two theorems are presented showing that Polya trees can be constructed to concentrate arbitrarily closely about any desired pdf, and that Polya tree priors can put positive mass in every relative entropy neighborhood of every positive density with nite entropy, thereby satisfying a consistency condition. Such theo...
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: The Annals of Mathematical Statistics
سال: 1960
ISSN: 0003-4851
DOI: 10.1214/aoms/1177705798