### THE LAPLACE TRANSFORM OF THE ERGODIC DISTRIBUTION OF THE PROCESS OF SEMI-MARKOVIAN RANDOM WALK WITH NEGATIVE DRIFT, NONNEGATIVE JUMPS, DELAYS, AND DELAYING SCREEN AT ZERO

**T. I. NASIROVA, E. A. IBAYEV, AND T. A. ALIYEVA**

*Theory of Stochastic Processes*

*Vol.15 (31), no.1, 2009, pp.49-60*

The Laplaceâ€“Stieltjes transform with respect to x, the Laplace transform with respect to t, the conditional distribution, the unconditional distribution, and the Laplace transform of the ergodic distribution of the process of semi-Markovian random walk with negative drift, nonnegative jumps, delays, and delaying screen at zero are obtained.