2. Waiting for the First Run Occurrence

  1. N. Balakrishnan and
  2. Markos V. Koutras

Published Online: 14 OCT 2011

DOI: 10.1002/9781118150467.ch2

Runs and Scans with Applications

Runs and Scans with Applications

How to Cite

Balakrishnan, N. and Koutras, M. V. (2001) Waiting for the First Run Occurrence, in Runs and Scans with Applications, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/9781118150467.ch2

Publication History

  1. Published Online: 14 OCT 2011
  2. Published Print: 12 NOV 2001

ISBN Information

Print ISBN: 9780471248927

Online ISBN: 9781118150467

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Keywords:

  • run occurrence;
  • distribution function;
  • functions;
  • moments;
  • approximations

Summary

This chapter contains sections titled:

  • Introduction

  • I.I.D. Trials — Geometric Distribution of Order κ

  • Markov-Dependent Trials — Markov-Geometric Distribution of Order κ

  • Nonidentical Trials — Intervened Geometric Distribution of Order κ

  • Binary Sequence of Order l — Extended Geometric Distribution of order κ

  • Conditional Distributions

  • Other Related Distributions

  • Miscellanea