A birth-death process suggested by a chain sequence

R.B. Lenin, P.R. Parthasarathy

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We consider a birth-death process whose birth and death rates are suggested by a chain sequence. We use an elegant transformation to find the transition probabilities in a simple closed form. We also find an explicit expression for time-dependent mean. We find parallel results in discrete time. Finally, we show that the processes under investigation are transient, and hence, the stationary distribution does not exist.
Original languageEnglish
Pages (from-to)239-247
JournalComputers and mathematics with applications
Issue number2-3
Publication statusPublished - 2000


  • Transient behaviour
  • Chain sequence
  • IR-74307
  • Chebyshev polynomials


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