Moreover, one dimensional distribution function of the additive functional $J_f(t)$ of the process X(t) is expressed by the probability characteristics of the initial sequences of the random variables $\{\xi_n\}$ and $\{\eta_n\}$
📌 3 Key Takeaways
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Objective & Hypothesis:In this study, a renewal reward process with a discrete interference of chance (X(t) ) is constructed and distribution of the process X(t) is investigated.
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Key Findings & Data:Onedimensional distribution of the process X(t) is given by means of the probability characteristics of the renewal processes $\{T_n\}$ and \{S_n\}.
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Conclusion & Impact:Moreover, one dimensional distribution function of the additive functional $J_f(t)$ of the process X(t) is expressed by the probability characteristics of the initial sequences of the random variables $\{\xi_n\}$ and $\{\eta_n\}$
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters
Abstract
In this study, a renewal reward process with a discrete interference of chance (X(t) ) is constructed and distribution of the process X(t) is investigated. Onedimensional distribution of the process X(t) is given by means of the probability characteristics of the renewal processes $\{T_n\}$ and \{S_n\}. Moreover, one dimensional distribution function of the additive functional $J_f(t)$ of the process X(t) is expressed by the probability characteristics of the initial sequences of the random variables $\{\xi_n\}$ and $\{\eta_n\}$
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Cite This Article
KHANIYEV, T., ALIYEV, R., KÜÇÜK, Z., BEKAR, N. O. (2008). On the distributions of a renewal reward process and it’s additive functional. Mathematical and Computational Applications, Cilt: 13 - Sayı: 1, 41–50. https://ajindex.com/articles/280049
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