Topics in probability / Narahari Prabhu.

Format:

Book

Author/Creator:

Prabhu, N. U. (Narahari Umanath), 1924-

Language:

English

Subjects (All):

Probabilities.

Physical Description:

1 online resource (94 p.)

Place of Publication:

Singapore : World Scientific, 2011.

Language Note:

English

Summary:

Recent research in probability has been concerned with applications such as data mining and finance models. Some aspects of the foundations of probability theory have receded into the background. Yet, these aspects are very important and have to be brought back into prominence.

Contents:

CONTENTS; Preface; Abbreviations; 1. Probability Distributions; 1.1. Elementary Properties; 1.2. Convolutions; 1.3. Moments; 1.4. Convergence Properties; 2. Characteristic Functions; 2.1. Regularity Properties; 2.2. Uniqueness and Inversion; 2.3. Convergence Properties; 2.3.1. Convergence of types; 2.4. A Criterion for c.f.'s; 2.5. Problems for Solution; 3. Analytic Characteristic Functions; 3.1. Definition and Properties; 3.2. Moments; 3.3. The Moment Problem; 3.4. Problems for Solution; 4. Infinitely Divisible Distributions; 4.1. Elementary Properties; 4.2. Feller Measures

4.3. Characterization of Infinitely Divisible Distributions4.4. Special Cases of Infinitely Divisible Distributions; 4.5. L vy Processes; 4.6. Stable Distributions; 4.7. Problems for Solution; 5. Self-Decomposable Distributions; Triangular Arrays; 5.1. Self-Decomposable Distributions; 5.2. Triangular Arrays; 5.3. Problems for Solution; Bibliography; Index

Notes:

Description based upon print version of record.

Includes bibliographical references and index.

ISBN:

9786613433602

9781283433600

1283433605

9789814335485

9814335487

OCLC:

858228293