Introduction to Probability Models

Ross Sheldon M

ISBN 10: 0125980620 / ISBN 13: 9780125980623

Edité par Elsevier, Amsterdam and London, 2007

A propos de cet article

From an academic library with the usual stamps and labels. Overall nice and bright but a little pencil annotation. N° de réf. du vendeur A00018250

Détails bibliographiques

Titre : Introduction to Probability Models

Éditeur : Elsevier, Amsterdam and London

Date d'édition : 2007

Reliure : Hard Cover

Etat : Good

Etat de la jaquette : No Jacket

Edition : Ninth Edition.

Type de livre : A00018250

A propos de ce titre

Synopsis :

Book by Ross Sheldon M

Présentation de l'éditeur:

Introduction to Probability Models, Ninth Edition, is the primary text for a first undergraduate course in applied probability. This updated edition of Ross's classic bestseller provides an introduction to elementary probability theory and stochastic processes, and shows how probability theory can be applied to the study of phenomena in fields such as engineering, computer science, management science, the physical and social sciences, and operations research. With the addition of several new sections relating to actuaries, this text is highly recommended by the Society of Actuaries.

This book now contains a new section on compound random variables that can be used to establish a recursive formula for computing probability mass functions for a variety of common compounding distributions; a new section on hiddden Markov chains, including the forward and backward approaches for computing the joint probability mass function of the signals, as well as the Viterbi algorithm for determining the most likely sequence of states; and a simplified approach for analyzing nonhomogeneous Poisson processes. There are also additional results on queues relating to the conditional distribution of the number found by an M/M/1 arrival who spends a time t in the system; inspection paradox for M/M/1 queues; and M/G/1 queue with server breakdown. Furthermore, the book includes new examples and exercises, along with compulsory material for new Exam 3 of the Society of Actuaries.

This book is essential reading for professionals and students in actuarial science, engineering, operations research, and other fields in applied probability.

A new section (3.7) on COMPOUND RANDOM VARIABLES, that can be used to establish a recursive formula for computing probability mass functions for a variety of common compounding distributions.

A new section (4.11) on HIDDDEN MARKOV CHAINS, including the forward and backward approaches for computing the joint probability mass function of the signals, as well as the Viterbi algorithm for determining the most likely sequence of states.

Simplified Approach for Analyzing Nonhomogeneous Poisson processes

Additional results on queues relating to the
(a) conditional distribution of the number found by an M/M/1 arrival who spends a time t in the system,;
(b) inspection paradox for M/M/1 queues
(c) M/G/1 queue with server breakdown
Many new examples and exercises.