Abstract
In this study, we define the fractional random variable. The concept of convergence in fractional probability, almost surely convergence and some related theorems and examples are studied with the ...
Highlights
We try to continue the concept of fractional probability calculus, based on the study by Jumarie (2007) which defines probability dens ity of fractional order and fractional moments by using fractional calculus (Jumarie, 2007)
Our paper is in the continuation of the paper by Mostafaei and Ahmadi Ghotbi (2010) in which the fractional probability space ðΩ; F; PαÞ, the fractional probability measure Pα : F ! 1⁄20; 1, ABOUT THE AUTHORS
Ahmad Zendedel received his BSc in Statistics from Ferdowsi University, Mashhad, Iran in 1991 and MSc in Statistics from the Shahid Beheshti University of Tehran, Iran in 1995 and PhD in Applied Statistics from Islamic Azad University, Tehran, Iran in 2004
Summary
We try to continue the concept of fractional probability calculus, based on the study by Jumarie (2007) which defines probability dens ity of fractional order and fractional moments by using fractional calculus (Jumarie, 2007). Since 1995, he is working as a member of Full-time Mathematics and Statistics Department, Neyshabour, Iran At present, he is an assistant professor in Islamic Azad University (IAU). Parisa Ahmadi Ghotbi has Bachelor of Science in Statistics from Azad University of Mashhad, Iran in 2005 and Masters of Science in Statistics from Azad University of Tehran, Iran in 2009. At present, she is studying PhD of Science in Probability at International Unit of Shiraz University, Iran from 2011. She is studying PhD of Science in Probability at International Unit of Shiraz University, Iran from 2011 Her Doctoral Thesis is “Steiltjes sample characteristic function estimation procedure”. Her second research area is probability calculus of fractional order
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