Scientific Research and Essays

  • Abbreviation: Sci. Res. Essays
  • Language: English
  • ISSN: 1992-2248
  • DOI: 10.5897/SRE
  • Start Year: 2006
  • Published Articles: 2768

Full Length Research Paper

Moments of the number of triangular configurations in binomial trials

Zafar Iqbal
Government College, Qila Didar Singh, Gujranwala District, Pakistan.
Email: [email protected]

  •  Accepted: 29 November 2010
  •  Published: 25 May 2013



Consider a matrix of locations in rows and columns, and suppose that at each location a binomial trial materializes independently which results in a specified event E with some probability. One possible configuration is that the event occurs at three adjacent locations, which we call a triangular configuration. The number of these triangular configurations is a random variable with a highly complex distribution. This paper determines the factorial moments of this distribution by the application of Memon’s theorem.


Key words: Binomial trial, factorial moments.