On The Limiting Distribution For Bernoulli Trials Within A Markov Chain Context

Authors : Ceyhan İNAL

Pages : 0-0

Doi:10.1501/Commua1_0000000545

View : 10 | Download : 8

Publication Date : 1987-01-01

Article Type : Research Paper

Abstract :Let Xı, X .. be a sequence of Bernoulli trials governed by a homogeneous third-order lwo-state Markov chain. The probabilirty function of the number of occurrences in n succes- sive trials, is obtained. In addition to this, assuming that steady State is already attained the li- miting function of is obtained under the condition that nP insert ignore into journalissuearticles values(Xj = 1); = u as n 00, Finally we can note that this limiting probabüity function can be generalized in terms of Leguerre poly- nomials as already shown in the relevant literatüre.
Keywords : Limiting Distribution, Third Order Markov Chain, Markov Bernoulli Sequence