Distribution of the Lower Boundary Functional of the Step Process of Semi-Markov Random Walk with Delaying Barrier

In this paper, a step process of semi-Markovian random walk with delaying barrier on the zero-level is constructed and the Laplace transformation of the distribution of first crossing time of this process into the delaying barrier is obtained. Also, the expectation and standard diversion of a boundary functional of the process are given.

Author(s):  
Jiangzhong Cao ◽  
Bingo Wing-Kuen Ling ◽  
Wai-Lok Woo ◽  
Zhijing Yang

1998 ◽  
Vol 17 (3-4) ◽  
pp. 267-277
Author(s):  
Su Yeongtzay ◽  
Wang Chitshung

2016 ◽  
Vol 15 (3) ◽  
pp. 333-361 ◽  
Author(s):  
Muneer Shaik ◽  
S. Maheswaran

We document the presence of the random walk effect in stock indices and, at the same time, find that the constituent stocks of the indices are excessively volatile. This gives rise to a paradox in stock markets between the behaviour of the stock index and its constituent stocks. We address this phenomenon in this article and reconcile the seemingly contradictory inferences by extending the Binomial Markov Random Walk (BMRW) model. JEL Classification: C15, C58, G15


2014 ◽  
Vol 21 (3) ◽  
pp. 970-977
Author(s):  
Hong Li ◽  
Xiao-yan Lu ◽  
Wei-wen Liu ◽  
Clement K. Kirui

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