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## entrOn the Semi-Markovian Random Walk with Delay andWeibull Distributed Interference of ChanceOn the Semi-Markovian Random Walk with Delay andWeibull Distributed Interference of Chance

#### Tülay Kesemen [1]

##### 132 397

In this paper, a semi-Markovian random walk with delay and a discreteinterference of chance (X(t)) is considered.It is assumed that therandom variables {ζn } , n ≥ 1 which describe the discrete interferenceof chance have Weibull distribution with parameters (α, λ), α > 1, λ >0. Under this assumption, the ergodicity of this process is discussed andthe asymptotic expansions with three terms for the first four momentsof the ergodic distribution of the process X(t) are derived, when λ → 0.Moreover, the asymptotic expansions for the skewness and kurtosis ofthe ergodic distribution of the process X(t) are established.
Semi-Markovian random walk; a discrete interference of chance; Weibulldistribution; ergodic distribution; asymptotic expansion; ladder variables.
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Primary Language tr Mathematics Author: Tülay Kesemen
 Bibtex @ { hujms101282, journal = {Hacettepe Journal of Mathematics and Statistics}, issn = {2651-477X}, eissn = {2651-477X}, address = {Hacettepe University}, year = {2013}, volume = {42}, pages = {299 - 307}, doi = {}, title = {On the Semi-Markovian Random Walk with Delay andWeibull Distributed Interference of Chance}, key = {cite}, author = {Kesemen, Tülay} } APA Kesemen, T . (2013). On the Semi-Markovian Random Walk with Delay andWeibull Distributed Interference of Chance. Hacettepe Journal of Mathematics and Statistics, 42 (3), 299-307. Retrieved from http://dergipark.org.tr/hujms/issue/7748/101282 MLA Kesemen, T . "On the Semi-Markovian Random Walk with Delay andWeibull Distributed Interference of Chance". Hacettepe Journal of Mathematics and Statistics 42 (2013): 299-307 Chicago Kesemen, T . "On the Semi-Markovian Random Walk with Delay andWeibull Distributed Interference of Chance". Hacettepe Journal of Mathematics and Statistics 42 (2013): 299-307 RIS TY - JOUR T1 - On the Semi-Markovian Random Walk with Delay andWeibull Distributed Interference of Chance AU - Tülay Kesemen Y1 - 2013 PY - 2013 N1 - DO - T2 - Hacettepe Journal of Mathematics and Statistics JF - Journal JO - JOR SP - 299 EP - 307 VL - 42 IS - 3 SN - 2651-477X-2651-477X M3 - UR - Y2 - 2019 ER - EndNote %0 Hacettepe Journal of Mathematics and Statistics On the Semi-Markovian Random Walk with Delay andWeibull Distributed Interference of Chance %A Tülay Kesemen %T On the Semi-Markovian Random Walk with Delay andWeibull Distributed Interference of Chance %D 2013 %J Hacettepe Journal of Mathematics and Statistics %P 2651-477X-2651-477X %V 42 %N 3 %R %U ISNAD Kesemen, Tülay . "On the Semi-Markovian Random Walk with Delay andWeibull Distributed Interference of Chance". Hacettepe Journal of Mathematics and Statistics 42 / 3 (March 2013): 299-307.