Probabilistic modelling
by Mitrani, I.
Probabilistic modelling is the most cost-effective means of performance and reliability evaluation of complex dynamic systems. This self-contained text offers an introduction to the tools and applications used in probabilistic modelling.
Read More ↓Title Statements
- Full title :Probabilistic modelling / Isi Mitrani.
Summary
Probabilistic modelling is the most cost-effective means of performance and reliability evaluation of complex dynamic systems. This self-contained text offers an introduction to the tools and applications used in probabilistic modelling.
Read More ↓Edition Statements
- Publication Date:1998.
Publication Statements
- Publisher(s):Cambridge University Press
- Place of Publication:Cambridge
- Language:eng
- Publication Date:1998.
The Physical Object
- Description:x, 223 pages : : illustrations ; : 23 cm
Edition Identifiers
- ISBN:0521585112, 9780521585118, 0521585309, 9780521585309
- oclc:ocm37195148
- LC Classification:QA273
- Dewey Decimal:003/.85
Table of Contents
Introduction to probability theory : Sample points, events and probabilities ; An algebra of events ; Probabilities ; Conditional probability ; Random variables ; Distribution functions ; Probability density functions ; Joint distributions ; Largest and smallest ; Expectation and other moments ; Properties of expectation ; Variance and covariance ; Bernoulli trials and related random variables ; The geometric distribution ; The binomial distribution ; Sums, transforms and limits ; Generating functions ; Laplace transforms and characteristic functions ; The normal distribution and central limit theorem -- Arrivals and services : Renewal processes ; Forward and backward renewal times ; The ‘paradox’ of residual life ; The exponential distribution and its properties ; First and last ; The Poisson process ; Properties of the Poisson process ; Arrivals during a random interval ; Application: ALOHA and CSMA -- Queueing systems: average performance ; Little’s theorem and applications ; Utilization and response time laws ; The single-class M/G/1 queue ; Busy periods ; The M/M/1 queue ; Different scheduling policies ; The processor-sharing policy ; Symmetric policies and multiclass queues …
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