7 edition of **Regularly varying functions** found in the catalog.

- 192 Want to read
- 6 Currently reading

Published
**1976**
by Springer-Verlag in Berlin, New York
.

Written in English

- Functions of real variables.

**Edition Notes**

Statement | Eugene Seneta. |

Series | Lecture notes in mathematics ; 508, Lecture notes in mathematics (Springer-Verlag) ;, 508. |

Classifications | |
---|---|

LC Classifications | QA3 .L28 no. 508, QA331.5 .L28 no. 508 |

The Physical Object | |

Pagination | iv, 112 p. ; |

Number of Pages | 112 |

ID Numbers | |

Open Library | OL4876316M |

ISBN 10 | 0387076182 |

LC Control Number | 76003426 |

weak convergence of sequence of measures, Abelian theorem for a measure and its density, regularly varying functions and measures at infinity in an orthant, integral representation theorem, multiple power series distributionsCited by: 1. Downloadable (with restrictions)! We derive the rate of decay of the tail dependence of the bivariate normal distribution and establish its link with regularly varying functions. This result is an initial step in explaining the discrepancy between a zero asymptotic tail dependence coefficient and mass in the tail of a joint distribution.

Downloadable (with restrictions)! We consider a stationary regularly varying time series which can be expressed as a function of a geometrically ergodic Markov chain. We obtain practical conditions for the weak convergence of the tail array sums and feasible estimators of cluster statistics. These conditions include the so-called geometric drift or Foster–Lyapunov condition and can be easily Cited by: 2. Definition and properties of regularly varying functions ÈÖÓÔÓ× Ø ÓÒ (Representation Theorem)º A positive continuous function f (t) defined on (0,) is regularly varying of index if and only if it can be written in the form Ò Ø ÓÒ º A positive continuous function f (t) on (0,) is said to be a regularly varying function of.

×Close. The Infona portal uses cookies, i.e. strings of text saved by a browser on the user's device. The portal can access those files and use them to remember the user's data, such as their chosen settings (screen view, interface language, etc.), or their login data. The theory of regularly varying functions has been shown very useful in some ﬁeldsofqualitativetheoryofdi erentialequations,see,inparticular,theimportant monograph by Mari´c [] summarizing themes in the research up to the year.

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*immediately available upon purchase as print book shipments may be delayed due to the COVID crisis. ebook access is temporary and does not include ownership of the ebook. Only valid for books with an ebook version. Regularly Varying Functions (Lecture Notes In Mathematics) th Edition by Eugene Seneta (Author) ISBN ISBN Why is ISBN important.

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Cited by: Similarly, a regularly varying function is a function of a real variable whose behaviour at infinity is similar to the behaviour of a power law function (like a polynomial) near infinity. These classes of functions were both introduced by Jovan Karamata, [1] [2] and have found several important applications, for example in probability theory.

Condition: Good. 1st Edition. Please feel free to request a detailed description. Short description: Senet E. regularly varying functions\Seneta E. Pravilno meniayushiesia funkczii, n/a We have thousands of titles and often several copies of each title may be available.

Please contact us for details on condition of available copies of the book. Search within book. Front Matter. Pages I-V. PDF. Functions of regular variation. Eugene Seneta.

Pages Some secondary theory of regularly varying functions. Eugene Seneta. Pages Back Matter. Pages PDF. About this book. Keywords. Funktion von regulärer Variation function functions.

Regularly Varying Functions / Edition 1 available in Paperback. Add to Wishlist. ISBN ISBN Pub. Date: 05/03/ Publisher: Springer Berlin Heidelberg.

Regularly Varying Functions / Edition 1. by E. Seneta | Read Reviews. Publish your book with B&: $ The classes of functions that are investigated and used in a probabilistic context extend the well-known Karamata theory of regularly varying functions and thus are also of interest in the theory of functions.

The book provides a rigorous treatment of the subject and may serve as an introduction to the field. Additional Physical Format: Online version: Seneta, E. (Eugene), Regularly varying functions. Berlin ; New York: Springer-Verlag, (OCoLC) COVID Resources. Reliable information about the coronavirus (COVID) is available from the World Health Organization (current situation, international travel).Numerous and frequently-updated resource results are available from this ’s WebJunction has pulled together information and resources to assist library staff as they consider how to handle coronavirus.

Regularly Varying Functions | Eugene Seneta (auth.) | download | B–OK. Download books for free. Find books. Stack Exchange network consists of Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share.

Acknowledgment. Theorem 2 is partly due to Ranko Bojanić (), developed during joint work on Bojanić and prominent role in the theory of regularly varying functions is described in the obituary by Divis, Nevai and thanks are due to an expert referee for a meticulous reading of the original : Eugene Seneta.

An extension of the class RV of regularly varying (RV) functions has been introduced and analyzed in details in a recent study ([3]). The characteristic properties of this new larger class allow.

and fundamental facts about regularly varying functions. A measurable function L: (0, ∞) → R is said to be slowly varying (at inﬁnit y) if, for all λ > 0, L (λu). The function L is said to be slowly varying (at infinity) if L e Vy.

Thus R e V y if and only if R can be written in the form R(x) = x''L(x) with LeVy. POWER SERIES METHODS 67 For further properties of regularly varying functions we refer to the book of Seneta [17], where detailed references concerning the original literature are by: Summary This chapter deals with properties of the two most important classes of heavy‐tailed distributions, namely the regularly varying and the subexponential distributions.

It reviews the definit Author: Roger M. Cooke, Daan Nieboer, Jolanta Misiewicz. Regularly varying functions in the theory of simple branching processes in this very limited review sense, this paper may thus be regarded as a sequel. Further, the material deferred to a sequel in [23] -on the "explosive" process-fits naturally, and so is presented here also, in Section 3.

Find many great new & used options and get the best deals for Pseudo-regularly Varying Functions and Generalized Renewal Processes by Valerii at the best online prices at. Regularly Varying Functions. 点击放大图片 出版社: Springer. 作者: Seneta, E. 出版时间: 年03月 For O-regularly varying functions a growth relation is introduced and characterized which gives an easy tool in the comparison ofthe rate ofgrowth oftwo such functions at the limit point.

Inparticular, methodsbasedonthis relationprovidenecessary andsufficientconditions in establishing chains ofinequalities between functions and their geometric.

The analytic basis for heavy tailed modeling is the theory of regularly varying functions; the probabilistic basis for analysis turns out to rest on stochastic point processes. Tail estimation problems generally require estimating beyond the range of the data and are difficult.In Chapter IV we introduce a class of pseudo regularly varying functions.

Examples and definitions are given in Section IV-A. This class of functions includes the set of monotone solutions to a special form of the Schroder equation treated by Thomas, jzi Section Iv-B two theorems are proved for monotone pseudo regularly varying by: 1.Regularly varying solutions of generalized Thomas-Fermi equations 47 of regularly varying functions.

Typical examples of slowly varying functions axe: all functions tending to some positive constants, N (N ļ П (logn t)°n, an G R, and expßn G (0, 1), 72=1 1п=1 J where logn t denotes the n-th iteration of the logarithm.