منابع مشابه
extensions of some polynomial inequalities to the polar derivative
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15 صفحه اولSome Applications of the Fractional Poisson Probability Distribution
New physical and mathematical applications of recently invented fractional Poisson probability distribution have been presented. As a physical application, a new family of quantum coherent states have been introduced and studied. Mathematical applications are related to the number theory. We have developed fractional generalization of the Bell polynomials, the Bell numbers, and the Stirling num...
متن کاملFractional Poisson Process
For almost two centuries, Poisson process with memoryless property of corresponding exponential distribution served as the simplest, and yet one of the most important stochastic models. On the other hand, there are many processes that exhibit long memory (e.g., network traffic and other complex systems). It would be useful if one could generalize the standard Poisson process to include these p...
متن کاملThe Exponentiated Poisson-Lindley Distribution; Features and Applications in Reliability
Abstract. In this paper a new three-parameter lifetime distribution named “the Exponentialed Lindley-Poisson (E-LP) distribution” has been suggested that it has an increasing, decreasing and invers bathtube hazard rate depending on the parameter values. The (E-LP) distribution has applications in economics, actuarial modeling, reliability modeling, lifetime and queuing problems and biological ...
متن کاملThe Markov Modulated Poisson Process and Markov Poisson Cascade with Applications to Web Traffic Modeling
A Markov modulated Poisson Process (MMPP) is a Poisson process whose rate varies according to a Markov process. The nonhomogeneous MMPP developed in this article is a natural model for point processes whose events combine irregular bursts of activity with predictable (e.g. daily and hourly) patterns. We show how the MMPP may be viewed as a superposition of unobserved Poisson processes that are ...
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ژورنال
عنوان ژورنال: Applied Mathematics
سال: 2014
ISSN: 2152-7385,2152-7393
DOI: 10.4236/am.2014.519288