Steady-state Markov chain models for the Heine and Euler distributions

Journal of Applied Probability - Tập 29 Số 4 - Trang 869-876 - 1992
Adrienne W. Kemp1
1University of St Andrews

Tóm tắt

The paper puts forward steady-state Markov chain models for the Heine and Euler distributions. The models for oil exploration strategies that were discussed by Benkherouf and Bather (1988) are reinterpreted as current-age models for discrete renewal processes. Steady-state success-runs processes with non-zero probabilities that a trial is abandoned, Foster processes, and equilibrium random walks corresponding to elective M/M/1 queues are also examined.

Từ khóa


Tài liệu tham khảo

10.1093/biomet/44.3-4.360

Slater, 1966, Generalized Hypergeometric Functions

10.1214/aoms/1177729342

Morse, 1958, Queues, Inventories and Maintenance., 10.1063/1.3062611

Bharucha-Reid, 1960, Elements of the Theory of Markov Processes and Their Applications

10.1017/S0021900200041255

10.1002/bimj.4710340508

Kemp, 1979, Convolutions involving binomial pseudo-variables, Sankhya, A41, 232

Andrews, 1986, q-Series: Their Development and Application in Analysis, Number Theory, Combinatorics, Physics, and Computer Algebra.

10.1080/03610929208830815

Thông tin
Thông tin xuất bản

Journal of Applied Probability

Tập 29 Số 4

869-876

Thông tin tác giả