✦ LIBER ✦

Limit Theorems for the Number of Summands in Integer Partitions

✍ Scribed by Hsien-Kuei Hwang

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 254 KB
Volume: 96
Category: Article
ISSN: 0097-3165
DOI: 10.1006/jcta.2000.3170

No coin nor oath required. For personal study only.

✦ Synopsis

Central and local limit theorems are derived for the number of distinct summands in integer partitions, with or without repetitions, under a general scheme essentially due to Meinardus. The local limit theorems are of the form of Crame rtype large deviations and are proved by Mellin transform and the two-dimensional saddle-point method. Applications of these results include partitions into positive integers, into powers of integers, into integers [ j ; ], ;>1, into aj+b, etc.

📜 SIMILAR VOLUMES

Limit Theorems and the Law of Large Numb

Limit Theorems and the Law of Large Numbers for Martingale-like Sequences

✍ Magda Peligrad 📂 Article 📅 1980 🏛 John Wiley and Sons 🌐 English ⚖ 215 KB

In this paper we give an extension of the convergence theorem for martingales which are bounded in L, norm. This theorem is used to obtain the law of large numbers under dependent assumptions.

Application of the stein-chen method for

Application of the stein-chen method for bounds and limit theorems in the reliability of coherent structures

✍ Markos V. Koutras; Stavros G. Papastavridis 📂 Article 📅 1993 🏛 John Wiley and Sons 🌐 English ⚖ 613 KB

The Stein-Chen method for establishing Poisson convergence is used to approximate the reliability of coherent systems with exponential-type distribution functions. These bounds lead to quite general limit theorems for the lifetime distribution of large coherent systems.

Limiting Distributions for the Number of

Limiting Distributions for the Number of Distinct Component Sizes in Relational Structures

✍ Ljuben Mutafchiev 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 428 KB

We investigate from probabilistic point of view the asymptotic behavior of the number of distinct component sizes in general classes of combinatorial structures of size n as n Ä . Mild restrictions of admissibility type are imposed on the corresponding generating functions and asymptotic expressions

Non-Uniform Estimates and Asymptotic Exp

Non-Uniform Estimates and Asymptotic Expansions of the Remainder in the Central Limit Theorem for m-Dependent Random Variables

✍ Lothar Heinrich 📂 Article 📅 1984 🏛 John Wiley and Sons 🌐 English ⚖ 459 KB 👁 1 views

Antibody diversity in amphibians. Noninb

Antibody diversity in amphibians. Noninbred axolotls used the same unique heavy chain and a limited number of light chains for their anti-2,4-dinitrophenyl antibody responses

✍ Jacques Charlemagne 📂 Article 📅 1987 🏛 John Wiley and Sons 🌐 English ⚖ 471 KB